From 3e5af5c3d3122bb27670284914dbade48c1e36c7 Mon Sep 17 00:00:00 2001 From: jkxing Date: Tue, 15 Nov 2022 18:08:40 +0800 Subject: [PATCH 1/5] update DROT method --- data/results/output_render/bluring.gif | Bin 120561 -> 69451 bytes data/results/output_render/rotation.gif | Bin 1226667 -> 725908 bytes data/results/output_render/saved_spot.obj | 17580 ++++++++-------- demo-drl.py | 154 + jrender/renderer/dr/__init__.py | 3 +- jrender/renderer/dr/dr_l/DrL_rasterize.py | 140 + jrender/renderer/dr/dr_l/__init__.py | 2 + .../renderer/dr/dr_l/cuda/DrL_rasterize.py | 1008 + jrender/renderer/dr/dr_l/cuda/backward_old.py | 1013 + jrender/renderer/dr/dr_l/rasterizer.py | 57 + .../dr/softras/cuda/soft_rasterize.py | 443 - jrender/renderer/renderer.py | 9 +- 12 files changed, 11174 insertions(+), 9235 deletions(-) create mode 100755 demo-drl.py create mode 100755 jrender/renderer/dr/dr_l/DrL_rasterize.py create mode 100755 jrender/renderer/dr/dr_l/__init__.py create mode 100755 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z=O)#P^3R}bLCmLKeBlCma~q$e>J7Zq*$m3tg3!*m*hD&P=LtviUfivk`~<&K1oKbFJ669Z1yZhI^j5P7$(e4RGoO-osA-$<$;*VL_U^rboUeVB+EpK_ zEhq1&Ci~76@ko2@069?wgWz=kCp8UaBJKf$PKU^U)qj3d(-e-up}+E None: + self.loss = SamplesLoss("sinkhorn", blur=0.01) + self.device=device + self.resolution = res + pass + + def match_Sinkhorn(self, haspos, render_point_5d, gt_rgb, view): + h,w = render_point_5d.shape[1:3] + target_point_5d = torch.zeros((haspos.shape[0], h, w, 5), device=self.device) + target_point_5d[..., :3] = torch.clamp(gt_rgb,0,1) + target_point_5d[..., 3:] = render_point_5d[...,3:].clone().detach() + target_point_5d = target_point_5d.reshape(-1, h*w, 5) + render_point_5d_match = render_point_5d.clone().reshape(-1,h*w,5) + render_point_5d_match.clamp_(0.0,1.0) + pointloss = self.loss(render_point_5d_match, target_point_5d)*self.resolution*self.resolution + [g] = torch.autograd.grad(torch.sum(pointloss), [render_point_5d_match]) + return (render_point_5d-g.reshape(-1,h,w,5)).detach() + + def match(self, gt_rgb, rgb, point, msk, view=0): + render_point_5d = torch.cat([torch.clamp(rgb, 0.0,1.0)[...,:3], point], dim=-1) + res = self.match_Sinkhorn(msk, render_point_5d, gt_rgb[...,:3], view) + return res + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('-i', '--filename-input', type=str, + default=os.path.join(data_dir, 'source.npy')) + parser.add_argument('-c', '--camera-input', type=str, + default=os.path.join(data_dir, 'camera.npy')) + parser.add_argument('-t', '--template-mesh', type=str, + default=os.path.join(data_dir, 'obj/spot/spot_triangulated.obj')) + parser.add_argument('-o', '--output-dir', type=str, + default=os.path.join(data_dir, 'results/output_drl')) + parser.add_argument('-b', '--batch-size', type=int, + default=1) + args = parser.parse_args() + + os.makedirs(args.output_dir, exist_ok=True) + model = Model(args.template_mesh) + + # read training images and camera poses + + print("start optim") + res=512 + sta = time.time() + + mesh = model(args.batch_size) + mesh.vertices[...,2]-=1.2 + num_views=args.batch_size + elevations = jt.linspace(0, 360, num_views) + azimuths = jt.linspace(-90, 180, num_views) + camera_distances = jt.ones_like(azimuths)*5.0 + renderer = jr.Renderer(image_size=res, sigma_val=1e-4, aggr_func_rgb='hard', camera_mode='look_at', viewing_angle=15, dr_type='DrL') + renderer.transform.set_eyes_from_angles(camera_distances, elevations, azimuths) + images, points_orig, msks_orig = renderer.render_mesh(mesh, mode='rgb') + + points_orig = (points_orig+1.0)/2.0 + pos_vis = np.zeros((res,res,3)) + pos_vis[...,:2] = points_orig.numpy().transpose(0, 2, 3, 1)[0] + pos_vis[...,:2] *= msks_orig.numpy().transpose(0, 2, 3, 1)[0] + #cv2.imwrite("tmp.png",(pos_vis*255).astype(np.uint8)) + #exit() + writer = imageio.get_writer(os.path.join(args.output_dir, 'rotation.gif'), mode='I') + images_gt = jt.array(images) + image_gt_torch = torch.from_numpy(images_gt.numpy().transpose((0, 2, 3, 1))) + optimizer = nn.Adam(model.parameters(), 0.01) + matcher = Matcher(res,device) + + image = images_gt.permute(0,2,3,1).numpy()[0] + imageio.imsave(os.path.join(args.output_dir, 'deform_gt.png'), (255*image).astype(np.uint8)) + + + loop = tqdm.tqdm(list(range(0, 1000))) + for i in loop: + mesh = model(args.batch_size) + images_pred, points, msks = renderer.render_mesh(mesh, mode='silhouettes') + points = (points+1.0)/2.0 + images_pred = jt.array(images_pred).permute(0,2,3,1) + points = jt.array(points).permute(0,2,3,1) + msks = jt.array(msks).permute(0,2,3,1) + loss = jt.sum(images_pred)+jt.sum(points)*0 + optimizer.step(loss) + continue + + image_torch = torch.from_numpy(images_pred.data).to(device).requires_grad_() + points_torch = torch.from_numpy(points.data).to(device).requires_grad_() + msks_torch = torch.from_numpy(msks.data).to(device) + + match_res = jt.array(matcher.match(image_gt_torch, image_torch, points_torch, msks_torch).cpu().numpy()) + x = jt.concat([jt.array(images_pred[...,:3]),points], dim=-1) + loss = jt.mean((x-match_res)**2) + + loop.set_description('Loss: %.4f'%(loss.item())) + optimizer.step(loss) + + #if i % 100 == 0: + # image = images_pred.numpy()[0] + # imageio.imsave(os.path.join(args.output_dir, 'deform_%05d.png'%i), (255*image).astype(np.uint8)) + # writer.append_data((255*image).astype(np.uint8)) + #print(model.displace) + + writer.close() + # save optimized mesh + model(1).save_obj(os.path.join(args.output_dir, 'final.obj'), save_texture=True) + print(f"Cost {time.time() - sta} secs.") + + +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/jrender/renderer/dr/__init__.py b/jrender/renderer/dr/__init__.py index cfa7ab7..d342d44 100644 --- a/jrender/renderer/dr/__init__.py +++ b/jrender/renderer/dr/__init__.py @@ -1,2 +1,3 @@ from .softras import * -from .n3mr import * \ No newline at end of file +from .n3mr import * +from .dr_l import * \ No newline at end of file diff --git a/jrender/renderer/dr/dr_l/DrL_rasterize.py b/jrender/renderer/dr/dr_l/DrL_rasterize.py new file mode 100755 index 0000000..2999e41 --- /dev/null +++ b/jrender/renderer/dr/dr_l/DrL_rasterize.py @@ -0,0 +1,140 @@ +import jittor as jt +from jittor import nn +from jittor import Function +import numpy as np +from .cuda import DrL_rasterize as soft_rasterize_cuda + +class DrL_RasterizeFunction(Function): + def __init__(self, image_size=256, + background_color=[0, 0, 0], near=1, far=100, + fill_back=True, eps=1e-3, + sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4, + gamma_val=1e-4, aggr_func_rgb='hard', aggr_func_alpha='prod', + texture_type='surface', bin_size = 0, max_elems_per_bin = 0, max_faces_per_pixel_for_grad = 16): + + self.image_size = image_size + self.background_color = background_color + self.near = near + self.far = far + self.eps = eps + self.sigma_val = sigma_val + self.gamma_val = gamma_val + self.dist_func = dist_func + self.dist_eps = np.log(1. / dist_eps - 1.) + self.aggr_func_rgb = aggr_func_rgb + self.aggr_func_alpha = aggr_func_alpha + self.fill_back = fill_back + self.texture_type = texture_type + + self.bin_size = bin_size + self.max_elems_per_bin = max_elems_per_bin + self.max_faces_id = max_faces_per_pixel_for_grad + + def execute(self, face_vertices, textures): + + # face_vertices: [nb, nf, 9] + # textures: [nb, nf, 9] + + func_dist_map = {'hard': 0, 'barycentric': 1, 'euclidean': 2} + func_rgb_map = {'hard': 0, 'softmax': 1} + func_alpha_map = {'hard': 0, 'sum': 1, 'prod': 2} + func_map_sample = {'surface': 0, 'vertex': 1} + + image_size = self.image_size + background_color = self.background_color + near = self.near + far = self.far + eps = self.eps + sigma_val = self.sigma_val + gamma_val = self.gamma_val + dist_eps = self.dist_eps + fill_back = self.fill_back + dist_func = self.dist_func + aggr_func_rgb = self.aggr_func_rgb + aggr_func_alpha = self.aggr_func_alpha + texture_type = self.texture_type + + self.func_dist_type = func_dist_map[dist_func] + self.func_rgb_type = func_rgb_map[aggr_func_rgb] + self.func_alpha_type = func_alpha_map[aggr_func_alpha] + self.texture_type = func_map_sample[texture_type] + + face_vertices = face_vertices.clone() + textures = textures.clone() + + self.batch_size, self.num_faces = face_vertices.shape[:2] + + faces_info = jt.zeros((self.batch_size, self.num_faces, 9*3)) # [inv*9, sym*9, obt*3, 0*6] + aggrs_info = jt.zeros((self.batch_size, 2, self.image_size, self.image_size)) + faces_id_buffer = jt.zeros((self.batch_size, self.max_faces_id, self.image_size, self.image_size),dtype="int32") + + soft_colors = jt.ones((self.batch_size, 4, self.image_size, self.image_size)) + soft_colors[:, 0, :, :] *= background_color[0] + soft_colors[:, 1, :, :] *= background_color[1] + soft_colors[:, 2, :, :] *= background_color[2] + + + points = jt.zeros((self.batch_size, 2, self.image_size, self.image_size)) + msk = jt.zeros((self.batch_size, 1, self.image_size, self.image_size)) + + # TODO: soft_colors do not init in cuda + faces_info, aggrs_info, soft_colors, faces_id_buffer, points, msk = \ + soft_rasterize_cuda.forward_DrL_rasterize(face_vertices, textures, + faces_info, aggrs_info, + soft_colors, faces_id_buffer, + points, msk, + image_size, near, far, eps, + sigma_val, self.func_dist_type, self.dist_eps, + gamma_val, self.func_rgb_type, self.func_alpha_type, + self.texture_type, int(fill_back)) + + self.save_vars = face_vertices, textures, soft_colors, points, faces_info, aggrs_info, faces_id_buffer + return soft_colors, points, msk + + def grad(self, grad_soft_colors, grad_points, grad_msk): + + face_vertices, textures, soft_colors, points, faces_info, aggrs_info, faces_id_buffer = self.save_vars + + faces_id_buffer = jt.transpose(faces_id_buffer, (0, 2, 3, 1)) + image_size = self.image_size + background_color = self.background_color + near = self.near + far = self.far + eps = self.eps + sigma_val = self.sigma_val + dist_eps = self.dist_eps + gamma_val = self.gamma_val + func_dist_type = self.func_dist_type + func_rgb_type = self.func_rgb_type + func_alpha_type = self.func_alpha_type + texture_type = self.texture_type + fill_back = self.fill_back + + grad_faces = jt.zeros((face_vertices.shape)) + grad_textures = jt.zeros((textures.shape)) + + grad_faces, grad_textures = \ + soft_rasterize_cuda.backward_DrL_rasterize(face_vertices, textures, soft_colors, points, + faces_info, aggrs_info, faces_id_buffer, + grad_faces, grad_textures, grad_soft_colors, grad_points, + image_size, near, far, eps, + sigma_val, func_dist_type, dist_eps, + gamma_val, func_rgb_type, func_alpha_type, + texture_type, int(fill_back)) + + return grad_faces, grad_textures + + +def DrL_rasterize(face_vertices, textures, image_size=256, + background_color=[0, 0, 0], near=1, far=100, + fill_back=True, eps=1e-3, + sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4, + gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod', + texture_type='surface', bin_size=0, max_elems_per_bin=0, max_faces_per_pixel_for_grad=16): + return DrL_RasterizeFunction(image_size, + background_color, near, far, + fill_back, eps, + sigma_val, dist_func, dist_eps, + gamma_val, aggr_func_rgb, aggr_func_alpha, + texture_type, bin_size, max_elems_per_bin, + max_faces_per_pixel_for_grad)(face_vertices, textures) \ No newline at end of file diff --git a/jrender/renderer/dr/dr_l/__init__.py b/jrender/renderer/dr/dr_l/__init__.py new file mode 100755 index 0000000..010314d --- /dev/null +++ b/jrender/renderer/dr/dr_l/__init__.py @@ -0,0 +1,2 @@ +from .rasterizer import * +from .DrL_rasterize import * \ No newline at end of file diff --git a/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py b/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py new file mode 100755 index 0000000..0fc9e4d --- /dev/null +++ b/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py @@ -0,0 +1,1008 @@ +import jittor as jt + +def forward_DrL_rasterize(face_vertices, textures, + faces_info, aggrs_info, + soft_colors, faces_id_buffer, + points, msk, + image_size, near, far, eps, + sigma_val, func_id_dist, dist_eps, + gamma_val, func_id_rgb, func_id_alpha, + texture_sample_type, double_side): + return jt.code([faces_info.shape, aggrs_info.shape, soft_colors.shape, faces_id_buffer.shape, points.shape, msk.shape], [faces_info.dtype, aggrs_info.dtype, soft_colors.dtype, faces_id_buffer.dtype, points.dtype, msk.dtype], + [face_vertices, textures], + cuda_header=''' + #include + #include + +#define kMaxPointsPerPixel 64 + +namespace{ + + template + __device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) { + w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2]; + w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2]; + w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2]; + } + + + template + __device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) { + return (x > max(max(face[0], face[3]), face[6]) + threshold || + x < min(min(face[0], face[3]), face[6]) - threshold || + y > max(max(face[1], face[4]), face[7]) + threshold || + y < min(min(face[1], face[4]), face[7]) - threshold); + } + + + template + __device__ __forceinline__ bool check_face_frontside(const scalar_t *face) { + return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]); + } + + + template + __device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) { + return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0; + } + + + template + __device__ __forceinline__ void barycentric_clip(scalar_t *w) { + for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.); + const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5); + for (int k = 0; k < 3; k++) w[k] /= w_sum; + } + + + template + __device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y, + scalar_t *w, scalar_t *t, + const scalar_t* face, const scalar_t *face_info, + const scalar_t xp, const scalar_t yp) { + const scalar_t *face_sym = face_info + 9; + const scalar_t *face_obt = face_info + 18; + + if (w[0] > 0 && w[1] > 0 && w[2] > 0 && + w[0] < 1 && w[1] < 1 && w[2] < 1) { + // inside the triangle, w[0] + w[1] + w[2] = 0 + scalar_t dis_min = 100000000; + scalar_t dis_x_min = 0; + scalar_t dis_y_min = 0; + scalar_t a0[3]; + scalar_t t0[3]; + for (int k = 0; k < 3; k++) { + int v0 = k; + int v1 = (k + 1) % 3; + int v2 = (k + 2) % 3; + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t0[v1] = 1 - t0[v0]; + t0[v2] = 0; + + t0[0] -= w[0]; + t0[1] -= w[1]; + t0[2] -= w[2]; + + // calculate distance + dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6]; + dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7]; + scalar_t dis = dis_x * dis_x + dis_y * dis_y; + + if (dis < dis_min) { + dis_min = dis; + dis_x_min = dis_x; + dis_y_min = dis_y; + t[0] = t0[0]; + t[1] = t0[1]; + t[2] = t0[2]; + } + } + dis_x = dis_x_min; + dis_y = dis_y_min; + sign = 1; + } else { + int v0 = -1; + + if (w[1] <= 0 && w[2] <= 0) { + v0 = 0; + if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2; + } else if (w[2] <= 0 && w[0] <= 0) { + v0 = 1; + if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0; + } else if (w[0] <= 0 && w[1] <= 0) { + v0 = 2; + if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1; + } else + if (w[0] <= 0) v0 = 1; + else if (w[1] <= 0) v0 = 2; + else if (w[2] <= 0) v0 = 0; + + const int v1 = (v0 + 1) % 3; + const int v2 = (v0 + 2) % 3; + + scalar_t a0[3]; + + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t[v1] = 1 - t[v0]; + t[v2] = 0; + + // clamp to [0, 1] + for (int k = 0; k < 3; k++) { + t[k] = min(max(t[k], 0.), 1.); + t[k] -= w[k]; + } + + // calculate distance + dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6]; + dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7]; + sign = -1; + } + } + + + template + __device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) { + dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]); + dis = dis > 0 ? dis*dis : -dis*dis; + } + + template + __device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type, const scalar_t* face, const scalar_t z) { + scalar_t texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = min(w[0] * R, float(R-1)); + const int w_y = min(w[1] * R, float(R-1)); + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + texture_k = texture[(w_y * R + w_x) * 3 + k]; + } else { + texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k]; + } + } else + if (texture_sample_type == 1) { // sample vertex color + texture_k = w[0] * texture[k] / face[2] + w[1] * texture[3 + k] / face[5] + w[2] * texture[6 + k] / face[8]; + texture_k *= z; + } + return texture_k; + } + + // triangle preprocessing + template + __global__ void forward_soft_rasterize_inv_cuda_kernel( + const scalar_t* __restrict__ faces, + scalar_t* faces_info, + int batch_size, + int num_faces, + int image_size) { + /* batch number, face, number, image size, face[v012][RGB] */ + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * num_faces) { + return; + } + // const int is = image_size; + const scalar_t* face = &faces[i * 9]; + scalar_t* face_inv = &faces_info[i * 27]; + scalar_t* face_sym = &faces_info[i * 27+9]; + scalar_t* face_obt = &faces_info[i * 27+18]; + + /* return if backside */ + // if ((face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0])) + // return; + /* p[num][xy]: x, y is (-1, 1). */ + scalar_t p[3][2]; + for (int num = 0; num < 3; num++) { + for (int dim = 0; dim < 2; dim++) { + p[num][dim] = face[3 * num + dim]; // no normalize + } + } + /* compute face_inv */ + scalar_t face_inv_star[9] = { + p[1][1] - p[2][1], p[2][0] - p[1][0], p[1][0] * p[2][1] - p[2][0] * p[1][1], + p[2][1] - p[0][1], p[0][0] - p[2][0], p[2][0] * p[0][1] - p[0][0] * p[2][1], + p[0][1] - p[1][1], p[1][0] - p[0][0], p[0][0] * p[1][1] - p[1][0] * p[0][1]}; + scalar_t face_inv_determinant = ( + p[2][0] * (p[0][1] - p[1][1]) + + p[0][0] * (p[1][1] - p[2][1]) + + p[1][0] * (p[2][1] - p[0][1])); + face_inv_determinant = face_inv_determinant > 0 ? max(face_inv_determinant, 1e-10) : min(face_inv_determinant, -1e-10); + /* set to global memory */ + for (int k = 0; k < 9; k++) { + face_inv[k] = face_inv_star[k] / face_inv_determinant; + } + /* F * F.T */ + for (int j = 0; j < 3; j++) { + for (int k = 0; k < 3; k++) { + face_sym[j * 3 + k] = face[j * 3 + 0] * face[k * 3 + 0] + + face[j * 3 + 1] * face[k * 3 + 1] + + 1; + } + } + /* check if one arc is obt arc */ + for (int k = 0; k < 3; k++) { + const int k0 = k; + const int k1 = (k + 1) % 3; + const int k2 = (k + 2) % 3; + if ((p[k1][0] - p[k0][0]) * (p[k2][0] - p[k0][0]) + (p[k1][1] - p[k0][1]) * (p[k2][1] - p[k0][1]) < 0) { + face_obt[k0] = 1; + break; + } + } + } + + struct Pixel{ + int id; + float z; + }; + + template + __global__ void forward_soft_rasterize_cuda_kernel( + const scalar_t* __restrict__ faces, + const scalar_t* __restrict__ textures, + const scalar_t* __restrict__ faces_info, + scalar_t* aggrs_info, + scalar_t* soft_colors, + int* faces_id_buffers, + scalar_t* points, + scalar_t* msk, + int batch_size, + int num_faces, + int image_size, + int max_faces_id, + int texture_size, + int texture_res, + float near, + float far, + float eps, + float sigma_val, + int func_id_dist, + float dist_eps, + float gamma_val, + int func_id_rgb, + int func_id_alpha, + int texture_sample_type, + int double_side) { + + //////////////////////// + //////////////////////// + + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * image_size * image_size) { + return; + } + const int is = image_size; + const int nf = num_faces; + const int bn = i / (is * is); + const int pn = i % (is * is); + const int yi = is - 1 - (pn / is); + const int xi = pn % is; + const scalar_t yp = (2. * yi + 1. - is) / is; + const scalar_t xp = (2. * xi + 1. - is) / is; + + points[(bn * 2 + 0) * (is * is) + pn] = xp; + points[(bn * 2 + 1) * (is * is) + pn] = yp; + + const scalar_t *face = &faces[bn * nf * 9] - 9; + const scalar_t *texture = &textures[bn * nf * texture_size * 3] - texture_size * 3; + const scalar_t *face_info = &faces_info[bn * nf * 27] - 27; + + const scalar_t threshold = dist_eps * sigma_val; + + // Initialize pixel color + scalar_t soft_color[4] = {1., 1., 1., 0.}; + if (func_id_alpha == 2) soft_color[3] = 1.; + scalar_t softmax_sum = exp(eps / gamma_val); + scalar_t softmax_max = eps; + for (int k = 0; k < 3; k++) { + if (func_id_rgb == 0) { // hard assign, set to background + soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn]; + } else + if (func_id_rgb == 1) { + soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn] * softmax_sum; // initialize background color + } + } + scalar_t depth_min = 10000000; + int face_index_min = -1; + Pixel q[kMaxPointsPerPixel]; + int q_size = 0; + float q_max_z = -1; + int q_max_id = -1; + + for (int fn = 0; fn < nf; fn++) { + face += 9; + texture += texture_size * 3; + face_info += 27; + + if (check_border(xp, yp, face, sqrt(threshold))) continue; // triangle too far away from pixel + + scalar_t dis; + scalar_t dis_x; + scalar_t dis_y; + scalar_t t[3]; + scalar_t w[3]; + scalar_t w_clip[3]; + scalar_t sign; + scalar_t soft_fragment; + + // compute barycentric coordinate w + barycentric_coordinate(w, xp, yp, face_info); + + // compute probability map based on distance functions + if (func_id_dist == 0) { // hard assign + soft_fragment = check_pixel_inside(w) ? 1. : 0.; + if (soft_fragment == 0.) continue; // ignore triangle outside of the pixel + } else + if (func_id_dist == 1) { // barycentric distance + forward_barycentric_p2f_distance(dis, w); + if (-dis >= threshold) continue; // ignore triangle far away from the pixel + soft_fragment = 1. / (1. + exp(-dis / sigma_val)); + } else + if (func_id_dist == 2) { // euclidean distance + euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp); + dis = dis_x * dis_x + dis_y * dis_y; + if (sign < 0 && dis >= threshold) continue; // ignore triangle far away from the pixel + soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val)); + } + + ///////////////////////////////////////////////////// + + // aggragate for alpha channel + if (func_id_alpha == 0) { // hard assign + if (soft_fragment > 0.5) soft_color[3] = 1.; + } else + if (func_id_alpha == 1) { // Sum + soft_color[3] += soft_fragment; + } else + if (func_id_alpha == 2) { // Logical-Or + soft_color[3] *= 1. - soft_fragment; + } + + ///////////////////////////////////////////////////// + + for (int k = 0; k < 3; k++) w_clip[k] = w[k]; + barycentric_clip(w_clip); + const scalar_t zp = 1. / (w_clip[0] / face[2] + w_clip[1] / face[5] + w_clip[2] / face[8]); + if (zp < near || zp > far) continue; // triangle out of screen, pass + +/////////////////////////////////////////////////// + // choose Topk + if (q_size < max_faces_id){ + q[q_size] = {fn,zp}; + if (zp > q_max_z){ + q_max_z = zp; + q_max_id = q_size; + } + q_size++; + } else if (zp < q_max_z){ + q[q_max_id] = {fn,zp}; + q_max_z = -1; + for(int k = 0; k < q_size; k++){ + if(q[k].z > q_max_z){ + q_max_z = q[k].z; + q_max_id = k; + } + } + } + + + ///////////////////////////////////////////////////// + if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))){ + points[(bn * 2 + 0) * (is * is) + pn] = w_clip[0]*face[0] + w_clip[1]*face[3] + w_clip[2]*face[6]; + points[(bn * 2 + 1) * (is * is) + pn] = w_clip[0]*face[1] + w_clip[1]*face[4] + w_clip[2]*face[7]; + msk[(bn * 1 + 0) * (is * is) + pn] = 1.0; + } + + // aggregate for rgb channels + if (func_id_rgb == 0) { // Hard assign + if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))) { + depth_min = zp; + face_index_min = fn; + for (int k = 0; k < 3; k++) { + soft_color[k] = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp); + } + } + } else + if (func_id_rgb == 1) { // D * Softmax (Z) + if (check_face_frontside(face) || double_side) { + const scalar_t zp_norm = (far - zp) / (far - near); + scalar_t exp_delta_zp = 1.; + if (zp_norm > softmax_max) { + exp_delta_zp = exp((softmax_max - zp_norm) / gamma_val); + softmax_max = zp_norm; + } + const scalar_t exp_z = exp((zp_norm - softmax_max) / gamma_val); + softmax_sum = exp_delta_zp * softmax_sum + exp_z * soft_fragment; + for (int k = 0; k < 3; k++) { + const scalar_t color_k = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp); + soft_color[k] = exp_delta_zp * soft_color[k] + exp_z * soft_fragment * color_k;// * soft_fragment; + if(isnan(color_k)){ + //printf("color_k: %f exp_z: %f soft_color: %f\\n",color_k,exp_z,soft_color[k]); + //printf("%f %f %f\\n",w_clip[0],w_clip[1],w_clip[2]); + //printf("zp: %f\\n",zp); + } + } + } + } + + } + + ////////////////////////////////////////////// + + // finalize aggregation + if (func_id_alpha == 0) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = soft_color[3]; + } else + if (func_id_alpha == 1) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = soft_color[3] / nf; + } else + if (func_id_alpha == 2) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = 1. - soft_color[3]; + } + + if (func_id_rgb == 0) { + if (face_index_min != -1) + for (int k = 0; k < 3; k++) { + soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k]; + } + aggrs_info[(bn * 2 + 0) * (is * is) + pn] = depth_min; + aggrs_info[(bn * 2 + 1) * (is * is) + pn] = face_index_min; + } else + if (func_id_rgb == 1) { + for (int k = 0; k < 3; k++) { + soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k] / softmax_sum; + if(isnan(soft_color[k])) + printf("i: %d xi: %d yi: %d soft_color: %f\\n",i,xi,yi,soft_color[k]); + } + aggrs_info[(bn * 2 + 0) * (is * is) + pn] = softmax_sum; + aggrs_info[(bn * 2 + 1) * (is * is) + pn] = softmax_max; + } + for (int k = 0; k < q_size; k++) { + faces_id_buffers[(bn * max_faces_id + k) * (is * is) + pn] = q[k].id; + } + } +} + ''', + cuda_src=f''' + @alias(faces, in0) + @alias(textures, in1) + @alias(faces_info, out0) + @alias(aggrs_info, out1) + @alias(soft_colors, out2) + @alias(faces_id_buffer, out3) + @alias(points, out4) + @alias(msk, out5) + + cudaMemsetAsync(out0_p, 0, out0->size); + cudaMemsetAsync(out1_p, 0, out1->size); + cudaMemsetAsync(out2_p, 0, out2->size); + cudaMemsetAsync(out3_p, -1, out3->size); + cudaMemsetAsync(out4_p, 0, out4->size); + cudaMemsetAsync(out5_p, 0, out5->size); + + const auto batch_size = faces_shape0; + const auto num_faces = faces_shape1; + const auto texture_size = textures_shape2; + const auto texture_res = int(sqrt(texture_size)); + const auto max_faces_id = faces_id_buffer_shape1; + const int threads = 512; + const dim3 blocks_1 ((batch_size * num_faces - 1) / threads +1); + + forward_soft_rasterize_inv_cuda_kernel<<>>( + faces_p, + faces_info_p, + batch_size, + num_faces, + {image_size}); + + cudaError_t err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in forward_transform_inv_triangle: %s\\n", cudaGetErrorString(err)); + + const dim3 blocks_2 ((batch_size * {image_size} * {image_size} - 1) / threads +1); + + forward_soft_rasterize_cuda_kernel<<>>( + faces_p, + textures_p, + faces_info_p, + aggrs_info_p, + soft_colors_p, + faces_id_buffer_p, + points_p, + msk_p, + batch_size, + num_faces, + {image_size}, + max_faces_id, + texture_size, + texture_res, + {near}, + {far}, + {eps}, + {sigma_val}, + {func_id_dist}, + {dist_eps}, + {gamma_val}, + {func_id_rgb}, + {func_id_alpha}, + {texture_sample_type}, + {double_side}); + + err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err)); + ''') + +def backward_DrL_rasterize(faces, textures, soft_colors, points, + faces_info, aggrs_info, faces_id_buffer, + grad_faces, grad_textures, grad_soft_colors, grad_points, + image_size, near, far, eps, + sigma_val, func_id_dist, dist_eps, + gamma_val, func_id_rgb, func_id_alpha, + texture_sample_type, double_side): + return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, points, + faces_info, aggrs_info, grad_soft_colors, faces_id_buffer, grad_points], + cuda_header=''' +#include +#include + +namespace{ + +template +__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) { + w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2]; + w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2]; + w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2]; +} + + +template +__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) { + return (x > max(max(face[0], face[3]), face[6]) + threshold || + x < min(min(face[0], face[3]), face[6]) - threshold || + y > max(max(face[1], face[4]), face[7]) + threshold || + y < min(min(face[1], face[4]), face[7]) - threshold); +} + + +template +__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) { + return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]); +} + + +template +__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) { + return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0; +} + + +template +__device__ __forceinline__ void barycentric_clip(scalar_t *w) { + for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.); + const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5); + for (int k = 0; k < 3; k++) w[k] /= w_sum; +} + + +template +__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y, + scalar_t *w, scalar_t *t, + const scalar_t* face, const scalar_t *face_info, + const scalar_t xp, const scalar_t yp) { + const scalar_t *face_sym = face_info + 9; + const scalar_t *face_obt = face_info + 18; + + if (w[0] > 0 && w[1] > 0 && w[2] > 0 && + w[0] < 1 && w[1] < 1 && w[2] < 1) { + // inside the triangle, w[0] + w[1] + w[2] = 0 + scalar_t dis_min = 100000000; + scalar_t dis_x_min = 0; + scalar_t dis_y_min = 0; + scalar_t a0[3]; + scalar_t t0[3]; + for (int k = 0; k < 3; k++) { + int v0 = k; + int v1 = (k + 1) % 3; + int v2 = (k + 2) % 3; + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t0[v1] = 1 - t0[v0]; + t0[v2] = 0; + + t0[0] -= w[0]; + t0[1] -= w[1]; + t0[2] -= w[2]; + + // calculate distance + dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6]; + dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7]; + scalar_t dis = dis_x * dis_x + dis_y * dis_y; + + if (dis < dis_min) { + dis_min = dis; + dis_x_min = dis_x; + dis_y_min = dis_y; + t[0] = t0[0]; + t[1] = t0[1]; + t[2] = t0[2]; + } + } + dis_x = dis_x_min; + dis_y = dis_y_min; + sign = 1; + } else { + int v0 = -1; + + if (w[1] <= 0 && w[2] <= 0) { + v0 = 0; + if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2; + } else if (w[2] <= 0 && w[0] <= 0) { + v0 = 1; + if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0; + } else if (w[0] <= 0 && w[1] <= 0) { + v0 = 2; + if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1; + } else + if (w[0] <= 0) v0 = 1; + else if (w[1] <= 0) v0 = 2; + else if (w[2] <= 0) v0 = 0; + + const int v1 = (v0 + 1) % 3; + const int v2 = (v0 + 2) % 3; + + scalar_t a0[3]; + + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t[v1] = 1 - t[v0]; + t[v2] = 0; + + // clamp to [0, 1] + for (int k = 0; k < 3; k++) { + t[k] = min(max(t[k], 0.), 1.); + t[k] -= w[k]; + } + + // calculate distance + dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6]; + dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7]; + sign = -1; + } +} + + +template +__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) { + dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]); + dis = dis > 0 ? dis*dis : -dis*dis; +} + + +template +__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) { + const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0); + const scalar_t *face_inv = face_info; + for (int l = 0; l < 2; l++) { + for (int k = 0; k < 3; k++) { + scalar_t grad_kl = 0; + for (int q = 0; q < 3; q++) { + grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1)); + } + grad_v[k][l] = grad_kl * C; + grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis)); + } + } +} + + +template +__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) { + scalar_t texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = min(w[0] * R, float(R-1)); + const int w_y = min(w[1] * R, float(R-1)); + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + texture_k = texture[(w_y * R + w_x) * 3 + k]; + } else { + texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k]; + } + } else + if (texture_sample_type == 1) { // sample vertex color + texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k]; + } + return texture_k; +} + + +template +__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) { + scalar_t grad_texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = min(w[0] * R, float(R-1)); + const int w_y = min(w[1] * R, float(R-1)); + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + if (k == w_y * R + w_x) { + grad_texture_k = grad_color; + } + } else { + if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) { + grad_texture_k = grad_color; + } + } + } else + if (texture_sample_type == 1) { + grad_texture_k = w[k] * grad_color; + } + return grad_texture_k; +} + + +template +__global__ void backward_soft_rasterize_cuda_kernel( + const scalar_t* __restrict__ faces, + const int* __restrict__ faces_id_buffers, + const scalar_t* __restrict__ textures, + const scalar_t* __restrict__ soft_colors, + const scalar_t* __restrict__ points, + const scalar_t* __restrict__ faces_info, + const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D + scalar_t* grad_faces, + scalar_t* grad_textures, + scalar_t* grad_soft_colors, + scalar_t* grad_points, + int batch_size, + int num_faces, + int image_size, + int max_faces_id, + int texture_size, + int texture_res, + float near, + float far, + float eps, + float sigma_val, + int func_id_dist, + float dist_eps, + float gamma_val, + int func_id_rgb, + int func_id_alpha, + int texture_sample_type, + bool double_side) { + + //////////////////////// + //////////////////////// + + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * image_size * image_size) { + return; + } + const int is = image_size; + const int nf = num_faces; + const int mf = max_faces_id; + const int bn = i / (is * is); + const int pn = i % (is * is); + const int yi = is - 1 - (pn / is); + const int xi = pn % is; + const scalar_t yp = (2. * yi + 1 - is) / is; + const scalar_t xp = (2. * xi + 1 - is) / is; + + const scalar_t* face; + const scalar_t* texture; + const scalar_t* face_info; + const int* faces_id_buffer = &faces_id_buffers[bn * is * is * mf + pn * mf]; + + const scalar_t threshold = dist_eps * sigma_val; + + const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn]; + const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn]; + + for (int m = 0; m < mf; m++) { + int fn = faces_id_buffer[m]; + + if (fn == -1){ + break; + } + + face = &faces[(bn * nf + fn) * 9]; + texture = &textures[(bn * nf + fn) * texture_size * 3]; + face_info = &faces_info[(bn * nf + fn) * 27]; + + if (check_border(xp, yp, face, sqrt(threshold))) continue; + + scalar_t dis; + scalar_t dis_x; + scalar_t dis_y; + scalar_t t[3]; + scalar_t w[3]; + scalar_t w0[3]; + scalar_t sign; + scalar_t soft_fragment; + + barycentric_coordinate(w, xp, yp, face_info); + + // compute probability map based on distance functions + if (func_id_dist == 0) { // hard assign + soft_fragment = 1; + } else + if (func_id_dist == 1) { // barycentric distance + forward_barycentric_p2f_distance(dis, w); + for (int k = 0; k < 3; k++) t[k] = w[k]; + soft_fragment = 1. / (1. + exp(-dis / sigma_val)); + } else + if (func_id_dist == 2) { // euclidean distance + euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp); + dis = dis_x * dis_x + dis_y * dis_y; + soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val)); + } + + + scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9]; + scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3]; + scalar_t grad_v[3][3] = {0}; + scalar_t C_grad_xy = 0; + + ///////////////////////////////////////////////////// + + // aggragate for alpha channel + scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn]; + if (func_id_alpha == 0) { // hard assign + // hard assign alpha channels does not have gradient + } else + if (func_id_alpha == 1) { // Sum + C_grad_xy_alpha /= nf; + } else + if (func_id_alpha == 2) { // Logical-Or + C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6); + } + C_grad_xy += C_grad_xy_alpha; + + ///////////////////////////////////////////////////// + for (int k = 0; k < 3; k++) w0[k] = w[k]; + barycentric_clip(w); + const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]); + + // aggregate for rgb channels + if (func_id_rgb == 0) { // Hard assign, no gradient to xyz + if (fn == softmax_max) { + for (int k = 0; k < 3; k++) { + for (int j = 0; j < texture_size; j++) { + atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type)); + } + } + } + } else + if (func_id_rgb == 1) { // Softmax (Z * D) + scalar_t C_grad_xyz_rgb = 0.; + + const scalar_t zp_norm = (far - zp) / (far - near); + const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum; + + for (int k = 0; k < 3; k++) { + const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn]; + + for (int j = 0; j < texture_size; j++) { + const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type); + atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t); + } + + const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type); + C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]); + } + C_grad_xyz_rgb *= zp_softmax; + C_grad_xy += C_grad_xyz_rgb / soft_fragment; + + const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp; + grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2]; + grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5]; + grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8]; + } + + ///////////////////////////////////////////////////// + + C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient + // compute probability map gradient based on distance functions + if (func_id_dist == 1) { // barycentric distance + backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy); + } else + if (func_id_dist == 2) { // euclidean distance + for (int k = 0; k < 3; k++) { + for (int l = 0; l < 2; l++) { + grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y); + } + } + } + + const scalar_t grad_px = grad_points[(bn * 2 + 0) * (is * is) + pn]; + const scalar_t grad_py = grad_points[(bn * 2 + 1) * (is * is) + pn]; + + grad_v[0][0] += grad_px*w[0] / face[2] / face[2]; + grad_v[0][1] += grad_py*w[0] / face[2] / face[2]; + grad_v[1][0] += grad_px*w[1] / face[5] / face[5]; + grad_v[1][1] += grad_py*w[1] / face[5] / face[5]; + grad_v[2][0] += grad_px*w[2] / face[8] / face[8]; + grad_v[2][1] += grad_py*w[2] / face[8] / face[8]; + + atomicAdd(&grad_face[0], grad_v[0][0]); + atomicAdd(&grad_face[1], grad_v[0][1]); + atomicAdd(&grad_face[3], grad_v[1][0]); + atomicAdd(&grad_face[4], grad_v[1][1]); + atomicAdd(&grad_face[6], grad_v[2][0]); + atomicAdd(&grad_face[7], grad_v[2][1]); + + atomicAdd(&grad_face[2], grad_v[0][2]); + atomicAdd(&grad_face[5], grad_v[1][2]); + atomicAdd(&grad_face[8], grad_v[2][2]); + } +} +} + ''', + cuda_src=f''' + @alias(faces, in0) + @alias(textures, in1) + @alias(soft_colors, in2) + @alias(points, in3) + @alias(faces_info, in4) + @alias(aggrs_info, in5) + @alias(grad_soft_colors, in6) + @alias(faces_id_buffer,in7) + @alias(grad_points, in8) + @alias(grad_faces, out0) + @alias(grad_textures, out1) + + cudaMemsetAsync(out0_p, 0, out0->size); + cudaMemsetAsync(out1_p, 0, out1->size); + + const auto batch_size = faces_shape0; + const auto num_faces = faces_shape1; + const auto texture_size = textures_shape2; + const auto texture_res = int(sqrt(texture_size)); + const auto max_faces_id = faces_id_buffer_shape3; + const int threads = 512; + const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1); + + backward_soft_rasterize_cuda_kernel<<>>( + faces_p, + faces_id_buffer_p, + textures_p, + soft_colors_p, + points_p, + faces_info_p, + aggrs_info_p, + grad_faces_p, + grad_textures_p, + grad_soft_colors_p, + grad_points_p, + batch_size, + num_faces, + {image_size}, + max_faces_id, + texture_size, + texture_res, + {near}, + {far}, + {eps}, + {sigma_val}, + {func_id_dist}, + {dist_eps}, + {gamma_val}, + {func_id_rgb}, + {func_id_alpha}, + {texture_sample_type}, + {double_side}); + + cudaError_t err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err)); + ''') + diff --git a/jrender/renderer/dr/dr_l/cuda/backward_old.py b/jrender/renderer/dr/dr_l/cuda/backward_old.py new file mode 100644 index 0000000..b8dc1e7 --- /dev/null +++ b/jrender/renderer/dr/dr_l/cuda/backward_old.py @@ -0,0 +1,1013 @@ +import jittor as jt + +def forward_DrL_rasterize(face_vertices, textures, + faces_info, aggrs_info, + soft_colors, faces_id_buffer, + points, msk, + image_size, near, far, eps, + sigma_val, func_id_dist, dist_eps, + gamma_val, func_id_rgb, func_id_alpha, + texture_sample_type, double_side): + return jt.code([faces_info.shape, aggrs_info.shape, soft_colors.shape, faces_id_buffer.shape, points.shape, msk.shape], [faces_info.dtype, aggrs_info.dtype, soft_colors.dtype, faces_id_buffer.dtype, points.dtype, msk.dtype], + [face_vertices, textures], + cuda_header=''' + #include + #include + +#define kMaxPointsPerPixel 64 + +namespace{ + + template + __device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) { + w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2]; + w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2]; + w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2]; + } + + + template + __device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) { + return (x > max(max(face[0], face[3]), face[6]) + threshold || + x < min(min(face[0], face[3]), face[6]) - threshold || + y > max(max(face[1], face[4]), face[7]) + threshold || + y < min(min(face[1], face[4]), face[7]) - threshold); + } + + + template + __device__ __forceinline__ bool check_face_frontside(const scalar_t *face) { + return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]); + } + + + template + __device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) { + return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0; + } + + + template + __device__ __forceinline__ void barycentric_clip(scalar_t *w) { + for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.); + const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5); + for (int k = 0; k < 3; k++) w[k] /= w_sum; + } + + + template + __device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y, + scalar_t *w, scalar_t *t, + const scalar_t* face, const scalar_t *face_info, + const scalar_t xp, const scalar_t yp) { + const scalar_t *face_sym = face_info + 9; + const scalar_t *face_obt = face_info + 18; + + if (w[0] > 0 && w[1] > 0 && w[2] > 0 && + w[0] < 1 && w[1] < 1 && w[2] < 1) { + // inside the triangle, w[0] + w[1] + w[2] = 0 + scalar_t dis_min = 100000000; + scalar_t dis_x_min = 0; + scalar_t dis_y_min = 0; + scalar_t a0[3]; + scalar_t t0[3]; + for (int k = 0; k < 3; k++) { + int v0 = k; + int v1 = (k + 1) % 3; + int v2 = (k + 2) % 3; + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t0[v1] = 1 - t0[v0]; + t0[v2] = 0; + + t0[0] -= w[0]; + t0[1] -= w[1]; + t0[2] -= w[2]; + + // calculate distance + dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6]; + dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7]; + scalar_t dis = dis_x * dis_x + dis_y * dis_y; + + if (dis < dis_min) { + dis_min = dis; + dis_x_min = dis_x; + dis_y_min = dis_y; + t[0] = t0[0]; + t[1] = t0[1]; + t[2] = t0[2]; + } + } + dis_x = dis_x_min; + dis_y = dis_y_min; + sign = 1; + } else { + int v0 = -1; + + if (w[1] <= 0 && w[2] <= 0) { + v0 = 0; + if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2; + } else if (w[2] <= 0 && w[0] <= 0) { + v0 = 1; + if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0; + } else if (w[0] <= 0 && w[1] <= 0) { + v0 = 2; + if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1; + } else + if (w[0] <= 0) v0 = 1; + else if (w[1] <= 0) v0 = 2; + else if (w[2] <= 0) v0 = 0; + + const int v1 = (v0 + 1) % 3; + const int v2 = (v0 + 2) % 3; + + scalar_t a0[3]; + + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t[v1] = 1 - t[v0]; + t[v2] = 0; + + // clamp to [0, 1] + for (int k = 0; k < 3; k++) { + t[k] = min(max(t[k], 0.), 1.); + t[k] -= w[k]; + } + + // calculate distance + dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6]; + dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7]; + sign = -1; + } + } + + + template + __device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) { + dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]); + dis = dis > 0 ? dis*dis : -dis*dis; + } + + template + __device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type, const scalar_t* face, const scalar_t z) { + scalar_t texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = min(w[0] * R, float(R-1)); + const int w_y = min(w[1] * R, float(R-1)); + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + texture_k = texture[(w_y * R + w_x) * 3 + k]; + } else { + texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k]; + } + } else + if (texture_sample_type == 1) { // sample vertex color + texture_k = w[0] * texture[k] / face[2] + w[1] * texture[3 + k] / face[5] + w[2] * texture[6 + k] / face[8]; + texture_k *= z; + } + return texture_k; + } + + // triangle preprocessing + template + __global__ void forward_soft_rasterize_inv_cuda_kernel( + const scalar_t* __restrict__ faces, + scalar_t* faces_info, + int batch_size, + int num_faces, + int image_size) { + /* batch number, face, number, image size, face[v012][RGB] */ + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * num_faces) { + return; + } + // const int is = image_size; + const scalar_t* face = &faces[i * 9]; + scalar_t* face_inv = &faces_info[i * 27]; + scalar_t* face_sym = &faces_info[i * 27+9]; + scalar_t* face_obt = &faces_info[i * 27+18]; + + /* return if backside */ + // if ((face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0])) + // return; + /* p[num][xy]: x, y is (-1, 1). */ + scalar_t p[3][2]; + for (int num = 0; num < 3; num++) { + for (int dim = 0; dim < 2; dim++) { + p[num][dim] = face[3 * num + dim]; // no normalize + } + } + /* compute face_inv */ + scalar_t face_inv_star[9] = { + p[1][1] - p[2][1], p[2][0] - p[1][0], p[1][0] * p[2][1] - p[2][0] * p[1][1], + p[2][1] - p[0][1], p[0][0] - p[2][0], p[2][0] * p[0][1] - p[0][0] * p[2][1], + p[0][1] - p[1][1], p[1][0] - p[0][0], p[0][0] * p[1][1] - p[1][0] * p[0][1]}; + scalar_t face_inv_determinant = ( + p[2][0] * (p[0][1] - p[1][1]) + + p[0][0] * (p[1][1] - p[2][1]) + + p[1][0] * (p[2][1] - p[0][1])); + face_inv_determinant = face_inv_determinant > 0 ? max(face_inv_determinant, 1e-10) : min(face_inv_determinant, -1e-10); + /* set to global memory */ + for (int k = 0; k < 9; k++) { + face_inv[k] = face_inv_star[k] / face_inv_determinant; + } + /* F * F.T */ + for (int j = 0; j < 3; j++) { + for (int k = 0; k < 3; k++) { + face_sym[j * 3 + k] = face[j * 3 + 0] * face[k * 3 + 0] + + face[j * 3 + 1] * face[k * 3 + 1] + + 1; + } + } + /* check if one arc is obt arc */ + for (int k = 0; k < 3; k++) { + const int k0 = k; + const int k1 = (k + 1) % 3; + const int k2 = (k + 2) % 3; + if ((p[k1][0] - p[k0][0]) * (p[k2][0] - p[k0][0]) + (p[k1][1] - p[k0][1]) * (p[k2][1] - p[k0][1]) < 0) { + face_obt[k0] = 1; + break; + } + } + } + + struct Pixel{ + int id; + float z; + }; + + template + __global__ void forward_soft_rasterize_cuda_kernel( + const scalar_t* __restrict__ faces, + const scalar_t* __restrict__ textures, + const scalar_t* __restrict__ faces_info, + scalar_t* aggrs_info, + scalar_t* soft_colors, + int* faces_id_buffers, + scalar_t* points, + scalar_t* msk, + int batch_size, + int num_faces, + int image_size, + int max_faces_id, + int texture_size, + int texture_res, + float near, + float far, + float eps, + float sigma_val, + int func_id_dist, + float dist_eps, + float gamma_val, + int func_id_rgb, + int func_id_alpha, + int texture_sample_type, + int double_side) { + + //////////////////////// + //////////////////////// + + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * image_size * image_size) { + return; + } + const int is = image_size; + const int nf = num_faces; + const int bn = i / (is * is); + const int pn = i % (is * is); + const int yi = is - 1 - (pn / is); + const int xi = pn % is; + const scalar_t yp = (2. * yi + 1. - is) / is; + const scalar_t xp = (2. * xi + 1. - is) / is; + + points[(bn * 2 + 0) * (is * is) + pn] = xp; + points[(bn * 2 + 1) * (is * is) + pn] = yp; + + const scalar_t *face = &faces[bn * nf * 9] - 9; + const scalar_t *texture = &textures[bn * nf * texture_size * 3] - texture_size * 3; + const scalar_t *face_info = &faces_info[bn * nf * 27] - 27; + + const scalar_t threshold = dist_eps * sigma_val; + + // Initialize pixel color + scalar_t soft_color[4] = {1., 1., 1., 0.}; + if (func_id_alpha == 2) soft_color[3] = 1.; + scalar_t softmax_sum = exp(eps / gamma_val); + scalar_t softmax_max = eps; + for (int k = 0; k < 3; k++) { + if (func_id_rgb == 0) { // hard assign, set to background + soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn]; + } else + if (func_id_rgb == 1) { + soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn] * softmax_sum; // initialize background color + } + } + scalar_t depth_min = 10000000; + int face_index_min = -1; + Pixel q[kMaxPointsPerPixel]; + int q_size = 0; + float q_max_z = -1; + int q_max_id = -1; + + for (int fn = 0; fn < nf; fn++) { + face += 9; + texture += texture_size * 3; + face_info += 27; + + if (check_border(xp, yp, face, sqrt(threshold))) continue; // triangle too far away from pixel + + scalar_t dis; + scalar_t dis_x; + scalar_t dis_y; + scalar_t t[3]; + scalar_t w[3]; + scalar_t w_clip[3]; + scalar_t sign; + scalar_t soft_fragment; + + // compute barycentric coordinate w + barycentric_coordinate(w, xp, yp, face_info); + + // compute probability map based on distance functions + if (func_id_dist == 0) { // hard assign + soft_fragment = check_pixel_inside(w) ? 1. : 0.; + if (soft_fragment == 0.) continue; // ignore triangle outside of the pixel + } else + if (func_id_dist == 1) { // barycentric distance + forward_barycentric_p2f_distance(dis, w); + if (-dis >= threshold) continue; // ignore triangle far away from the pixel + soft_fragment = 1. / (1. + exp(-dis / sigma_val)); + } else + if (func_id_dist == 2) { // euclidean distance + euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp); + dis = dis_x * dis_x + dis_y * dis_y; + if (sign < 0 && dis >= threshold) continue; // ignore triangle far away from the pixel + soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val)); + } + + ///////////////////////////////////////////////////// + + // aggragate for alpha channel + if (func_id_alpha == 0) { // hard assign + if (soft_fragment > 0.5) soft_color[3] = 1.; + } else + if (func_id_alpha == 1) { // Sum + soft_color[3] += soft_fragment; + } else + if (func_id_alpha == 2) { // Logical-Or + soft_color[3] *= 1. - soft_fragment; + } + + ///////////////////////////////////////////////////// + + for (int k = 0; k < 3; k++) w_clip[k] = w[k]; + barycentric_clip(w_clip); + const scalar_t zp = 1. / (w_clip[0] / face[2] + w_clip[1] / face[5] + w_clip[2] / face[8]); + if (zp < near || zp > far) continue; // triangle out of screen, pass + +/////////////////////////////////////////////////// + // choose Topk + if (q_size < max_faces_id){ + q[q_size] = {fn,zp}; + if (zp > q_max_z){ + q_max_z = zp; + q_max_id = q_size; + } + q_size++; + } else if (zp < q_max_z){ + q[q_max_id] = {fn,zp}; + q_max_z = -1; + for(int k = 0; k < q_size; k++){ + if(q[k].z > q_max_z){ + q_max_z = q[k].z; + q_max_id = k; + } + } + } + + + ///////////////////////////////////////////////////// + if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))){ + points[(bn * 2 + 0) * (is * is) + pn] = w_clip[0]*face[0] + w_clip[1]*face[3] + w_clip[2]*face[6]; + points[(bn * 2 + 1) * (is * is) + pn] = w_clip[0]*face[1] + w_clip[1]*face[4] + w_clip[2]*face[7]; + msk[(bn * 1 + 0) * (is * is) + pn] = 1.0; + } + + // aggregate for rgb channels + if (func_id_rgb == 0) { // Hard assign + if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))) { + depth_min = zp; + face_index_min = fn; + for (int k = 0; k < 3; k++) { + soft_color[k] = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp); + } + } + } else + if (func_id_rgb == 1) { // D * Softmax (Z) + if (check_face_frontside(face) || double_side) { + const scalar_t zp_norm = (far - zp) / (far - near); + scalar_t exp_delta_zp = 1.; + if (zp_norm > softmax_max) { + exp_delta_zp = exp((softmax_max - zp_norm) / gamma_val); + softmax_max = zp_norm; + } + const scalar_t exp_z = exp((zp_norm - softmax_max) / gamma_val); + softmax_sum = exp_delta_zp * softmax_sum + exp_z * soft_fragment; + for (int k = 0; k < 3; k++) { + const scalar_t color_k = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp); + soft_color[k] = exp_delta_zp * soft_color[k] + exp_z * soft_fragment * color_k;// * soft_fragment; + if(isnan(color_k)){ + //printf("color_k: %f exp_z: %f soft_color: %f\\n",color_k,exp_z,soft_color[k]); + //printf("%f %f %f\\n",w_clip[0],w_clip[1],w_clip[2]); + //printf("zp: %f\\n",zp); + } + } + } + } + + } + + ////////////////////////////////////////////// + + // finalize aggregation + if (func_id_alpha == 0) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = soft_color[3]; + } else + if (func_id_alpha == 1) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = soft_color[3] / nf; + } else + if (func_id_alpha == 2) { + soft_colors[(bn * 4 + 3) * (is * is) + pn] = 1. - soft_color[3]; + } + + if (func_id_rgb == 0) { + if (face_index_min != -1) + for (int k = 0; k < 3; k++) { + soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k]; + } + aggrs_info[(bn * 2 + 0) * (is * is) + pn] = depth_min; + aggrs_info[(bn * 2 + 1) * (is * is) + pn] = face_index_min; + } else + if (func_id_rgb == 1) { + for (int k = 0; k < 3; k++) { + soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k] / softmax_sum; + if(isnan(soft_color[k])) + printf("i: %d xi: %d yi: %d soft_color: %f\\n",i,xi,yi,soft_color[k]); + } + aggrs_info[(bn * 2 + 0) * (is * is) + pn] = softmax_sum; + aggrs_info[(bn * 2 + 1) * (is * is) + pn] = softmax_max; + } + for (int k = 0; k < q_size; k++) { + faces_id_buffers[(bn * max_faces_id + k) * (is * is) + pn] = q[k].id; + } + } +} + ''', + cuda_src=f''' + @alias(faces, in0) + @alias(textures, in1) + @alias(faces_info, out0) + @alias(aggrs_info, out1) + @alias(soft_colors, out2) + @alias(faces_id_buffer, out3) + @alias(points, out4) + @alias(msk, out5) + + cudaMemsetAsync(out0_p, 0, out0->size); + cudaMemsetAsync(out1_p, 0, out1->size); + cudaMemsetAsync(out2_p, 0, out2->size); + cudaMemsetAsync(out3_p, -1, out3->size); + cudaMemsetAsync(out4_p, 0, out4->size); + cudaMemsetAsync(out5_p, 0, out5->size); + + const auto batch_size = faces_shape0; + const auto num_faces = faces_shape1; + const auto texture_size = textures_shape2; + const auto texture_res = int(sqrt(texture_size)); + const auto max_faces_id = faces_id_buffer_shape1; + const int threads = 512; + const dim3 blocks_1 ((batch_size * num_faces - 1) / threads +1); + + forward_soft_rasterize_inv_cuda_kernel<<>>( + faces_p, + faces_info_p, + batch_size, + num_faces, + {image_size}); + + cudaError_t err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in forward_transform_inv_triangle: %s\\n", cudaGetErrorString(err)); + + const dim3 blocks_2 ((batch_size * {image_size} * {image_size} - 1) / threads +1); + + forward_soft_rasterize_cuda_kernel<<>>( + faces_p, + textures_p, + faces_info_p, + aggrs_info_p, + soft_colors_p, + faces_id_buffer_p, + points_p, + msk_p, + batch_size, + num_faces, + {image_size}, + max_faces_id, + texture_size, + texture_res, + {near}, + {far}, + {eps}, + {sigma_val}, + {func_id_dist}, + {dist_eps}, + {gamma_val}, + {func_id_rgb}, + {func_id_alpha}, + {texture_sample_type}, + {double_side}); + + err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err)); + ''') + +def backward_DrL_rasterize(faces, textures, soft_colors, points, + faces_info, aggrs_info, + grad_faces, grad_textures, grad_soft_colors, grad_points, + image_size, near, far, eps, + sigma_val, func_id_dist, dist_eps, + gamma_val, func_id_rgb, func_id_alpha, + texture_sample_type, double_side): + return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, points, + faces_info, aggrs_info, grad_soft_colors, grad_points], + cuda_header=''' +#include +#include + +// for the older gpus atomicAdd with double arguments does not exist +#if __CUDA_ARCH__ < 600 and defined(__CUDA_ARCH__) +static __inline__ __device__ double atomicAdd(double* address, double val) { + unsigned long long int* address_as_ull = (unsigned long long int*)address; + unsigned long long int old = *address_as_ull, assumed; + do { + assumed = old; + old = atomicCAS(address_as_ull, assumed, + __double_as_longlong(val + __longlong_as_double(assumed))); + // Note: uses integer comparison to avoid hang in case of NaN (since NaN != NaN) } while (assumed != old); + } while (assumed != old); + return __longlong_as_double(old); +} +#endif + + +namespace{ + +template +__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) { + w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2]; + w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2]; + w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2]; +} + + +template +__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) { + return (x > max(max(face[0], face[3]), face[6]) + threshold || + x < min(min(face[0], face[3]), face[6]) - threshold || + y > max(max(face[1], face[4]), face[7]) + threshold || + y < min(min(face[1], face[4]), face[7]) - threshold); +} + + +template +__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) { + return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]); +} + + +template +__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) { + return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0; +} + + +template +__device__ __forceinline__ void barycentric_clip(scalar_t *w) { + for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.); + const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5); + for (int k = 0; k < 3; k++) w[k] /= w_sum; +} + + +template +__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y, + scalar_t *w, scalar_t *t, + const scalar_t* face, const scalar_t *face_info, + const scalar_t xp, const scalar_t yp) { + const scalar_t *face_sym = face_info + 9; + const scalar_t *face_obt = face_info + 18; + + if (w[0] > 0 && w[1] > 0 && w[2] > 0 && + w[0] < 1 && w[1] < 1 && w[2] < 1) { + // inside the triangle, w[0] + w[1] + w[2] = 0 + scalar_t dis_min = 100000000; + scalar_t dis_x_min = 0; + scalar_t dis_y_min = 0; + scalar_t a0[3]; + scalar_t t0[3]; + for (int k = 0; k < 3; k++) { + int v0 = k; + int v1 = (k + 1) % 3; + int v2 = (k + 2) % 3; + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t0[v1] = 1 - t0[v0]; + t0[v2] = 0; + + t0[0] -= w[0]; + t0[1] -= w[1]; + t0[2] -= w[2]; + + // calculate distance + dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6]; + dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7]; + scalar_t dis = dis_x * dis_x + dis_y * dis_y; + + if (dis < dis_min) { + dis_min = dis; + dis_x_min = dis_x; + dis_y_min = dis_y; + t[0] = t0[0]; + t[1] = t0[1]; + t[2] = t0[2]; + } + } + dis_x = dis_x_min; + dis_y = dis_y_min; + sign = 1; + } else { + int v0 = -1; + + if (w[1] <= 0 && w[2] <= 0) { + v0 = 0; + if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2; + } else if (w[2] <= 0 && w[0] <= 0) { + v0 = 1; + if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0; + } else if (w[0] <= 0 && w[1] <= 0) { + v0 = 2; + if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1; + } else + if (w[0] <= 0) v0 = 1; + else if (w[1] <= 0) v0 = 2; + else if (w[2] <= 0) v0 = 0; + + const int v1 = (v0 + 1) % 3; + const int v2 = (v0 + 2) % 3; + + scalar_t a0[3]; + + a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; + a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; + a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; + + t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); + t[v1] = 1 - t[v0]; + t[v2] = 0; + + // clamp to [0, 1] + for (int k = 0; k < 3; k++) { + t[k] = min(max(t[k], 0.), 1.); + t[k] -= w[k]; + } + + // calculate distance + dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6]; + dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7]; + sign = -1; + } +} + + +template +__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) { + dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]); + dis = dis > 0 ? dis*dis : -dis*dis; +} + + +template +__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) { + const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0); + const scalar_t *face_inv = face_info; + for (int l = 0; l < 2; l++) { + for (int k = 0; k < 3; k++) { + scalar_t grad_kl = 0; + for (int q = 0; q < 3; q++) { + grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1)); + } + grad_v[k][l] = grad_kl * C; + grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis)); + } + } +} + + +template +__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) { + scalar_t texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = w[0] * R; + const int w_y = w[1] * R; + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + texture_k = texture[(w_y * R + w_x) * 3 + k]; + } else { + texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k]; + } + } else + if (texture_sample_type == 1) { // sample vertex color + texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k]; + } + return texture_k; +} + + +template +__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) { + scalar_t grad_texture_k; + if (texture_sample_type == 0) { // sample surface color with resolution as R + const int w_x = w[0] * R; + const int w_y = w[1] * R; + if ((w[0] + w[1]) * R - w_x - w_y <= 1) { + if (k == w_y * R + w_x) { + grad_texture_k = grad_color; + } + } else { + if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) { + grad_texture_k = grad_color; + } + } + } else + if (texture_sample_type == 1) { + grad_texture_k = w[k] * grad_color; + } + return grad_texture_k; +} + + +template +__global__ void backward_soft_rasterize_cuda_kernel( + const scalar_t* __restrict__ faces, + const scalar_t* __restrict__ textures, + const scalar_t* __restrict__ soft_colors, + const scalar_t* __restrict__ points, + const scalar_t* __restrict__ faces_info, + const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D + scalar_t* grad_faces, + scalar_t* grad_textures, + scalar_t* grad_soft_colors, + scalar_t* grad_points, + int batch_size, + int num_faces, + int image_size, + int texture_size, + int texture_res, + float near, + float far, + float eps, + float sigma_val, + int func_id_dist, + float dist_eps, + float gamma_val, + int func_id_rgb, + int func_id_alpha, + int texture_sample_type, + bool double_side) { + + //////////////////////// + //////////////////////// + + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= batch_size * image_size * image_size) { + return; + } + const int is = image_size; + const int nf = num_faces; + const int bn = i / (is * is); + const int pn = i % (is * is); + const int yi = is - 1 - (pn / is); + const int xi = pn % is; + const scalar_t yp = (2. * yi + 1 - is) / is; + const scalar_t xp = (2. * xi + 1 - is) / is; + + const scalar_t* face = &faces[bn * nf * 9] - 9; + const scalar_t* texture = &textures[bn * nf * texture_size * 3] - texture_size * 3; + const scalar_t* face_info = &faces_info[bn * nf * 27] - 27; + + const scalar_t threshold = dist_eps * sigma_val; + + const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn]; + const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn]; + + for (int fn = 0; fn < nf; fn++) { + face += 9; + texture += texture_size * 3; + face_info += 27; + + if (check_border(xp, yp, face, sqrt(threshold))) continue; + + scalar_t dis; + scalar_t dis_x; + scalar_t dis_y; + scalar_t t[3]; + scalar_t w[3]; + scalar_t w0[3]; + scalar_t sign; + scalar_t soft_fragment; + + barycentric_coordinate(w, xp, yp, face_info); + + // compute probability map based on distance functions + if (func_id_dist == 0) { // hard assign + soft_fragment = check_pixel_inside(w) ? 1. : 0.; + if (soft_fragment == 0.) continue; // ??? + } else + if (func_id_dist == 1) { // barycentric distance + forward_barycentric_p2f_distance(dis, w); + for (int k = 0; k < 3; k++) t[k] = w[k]; + if (-dis >= threshold) continue; // ignore triangle far away from the pixel + soft_fragment = 1. / (1. + exp(-dis / sigma_val)); + } else + if (func_id_dist == 2) { // euclidean distance + euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp); + dis = dis_x * dis_x + dis_y * dis_y; + if (sign < 0 && dis >= threshold) continue; // ignore triangle too far away from the pixel + soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val)); + } + + + scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9]; + scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3]; + scalar_t grad_v[3][3] = {0}; + scalar_t C_grad_xy = 0; + + ///////////////////////////////////////////////////// + + // aggragate for alpha channel + scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn]; + if (func_id_alpha == 0) { // hard assign + // hard assign alpha channels does not have gradient + } else + if (func_id_alpha == 1) { // Sum + C_grad_xy_alpha /= nf; + } else + if (func_id_alpha == 2) { // Logical-Or + C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6); + } + C_grad_xy += C_grad_xy_alpha; + + ///////////////////////////////////////////////////// + for (int k = 0; k < 3; k++) w0[k] = w[k]; + barycentric_clip(w); + const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]); + if (zp < near || zp > far) continue; // triangle out of screen, pass + + // aggregate for rgb channels + if (func_id_rgb == 0) { // Hard assign, no gradient to xyz + if (fn == softmax_max) { + for (int k = 0; k < 3; k++) { + for (int j = 0; j < texture_size; j++) { + atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type)); + } + } + } + } else + if (func_id_rgb == 1 && (check_face_frontside(face) || double_side)) { // Softmax (Z * D) + scalar_t C_grad_xyz_rgb = 0.; + + const scalar_t zp_norm = (far - zp) / (far - near); + const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum; + + for (int k = 0; k < 3; k++) { + const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn]; + + for (int j = 0; j < texture_size; j++) { + const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type); + atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t); + } + + const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type); + C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]); + } + C_grad_xyz_rgb *= zp_softmax; + C_grad_xy += C_grad_xyz_rgb / soft_fragment; + + const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp; + grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2]; + grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5]; + grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8]; + } + + ///////////////////////////////////////////////////// + + C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient + // compute probability map gradient based on distance functions + if (func_id_dist == 1) { // barycentric distance + backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy); + } else + if (func_id_dist == 2) { // euclidean distance + for (int k = 0; k < 3; k++) { + for (int l = 0; l < 2; l++) { + grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y); + } + } + } + + const scalar_t grad_px = grad_points[(bn * 2 + 0) * (is * is) + pn]; + const scalar_t grad_py = grad_points[(bn * 2 + 1) * (is * is) + pn]; + + grad_v[0][0] += grad_px*w[0] / face[2] / face[2]; + grad_v[0][1] += grad_py*w[0] / face[2] / face[2]; + grad_v[1][0] += grad_px*w[1] / face[5] / face[5]; + grad_v[1][1] += grad_py*w[1] / face[5] / face[5]; + grad_v[2][0] += grad_px*w[2] / face[8] / face[8]; + grad_v[2][1] += grad_py*w[2] / face[8] / face[8]; + + atomicAdd(&grad_face[0], grad_v[0][0]); + atomicAdd(&grad_face[1], grad_v[0][1]); + atomicAdd(&grad_face[3], grad_v[1][0]); + atomicAdd(&grad_face[4], grad_v[1][1]); + atomicAdd(&grad_face[6], grad_v[2][0]); + atomicAdd(&grad_face[7], grad_v[2][1]); + + atomicAdd(&grad_face[2], grad_v[0][2]); + atomicAdd(&grad_face[5], grad_v[1][2]); + atomicAdd(&grad_face[8], grad_v[2][2]); + } +} +} + ''', + cuda_src=f''' + @alias(faces, in0) + @alias(textures, in1) + @alias(soft_colors, in2) + @alias(points, in3) + @alias(faces_info, in4) + @alias(aggrs_info, in5) + @alias(grad_soft_colors, in6) + @alias(grad_points, in7) + @alias(grad_faces, out0) + @alias(grad_textures, out1) + + cudaMemsetAsync(out0_p, 0, out0->size); + cudaMemsetAsync(out1_p, 0, out1->size); + + const auto batch_size = faces_shape0; + const auto num_faces = faces_shape1; + const auto texture_size = textures_shape2; + const auto texture_res = int(sqrt(texture_size)); + const int threads = 512; + const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1); + + backward_soft_rasterize_cuda_kernel<<>>( + faces_p, + textures_p, + soft_colors_p, + points_p, + faces_info_p, + aggrs_info_p, + grad_faces_p, + grad_textures_p, + grad_soft_colors_p, + grad_points_p, + batch_size, + num_faces, + {image_size}, + texture_size, + texture_res, + {near}, + {far}, + {eps}, + {sigma_val}, + {func_id_dist}, + {dist_eps}, + {gamma_val}, + {func_id_rgb}, + {func_id_alpha}, + {texture_sample_type}, + {double_side}); + + cudaError_t err = cudaGetLastError(); + if (err != cudaSuccess) + printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err)); + ''') \ No newline at end of file diff --git a/jrender/renderer/dr/dr_l/rasterizer.py b/jrender/renderer/dr/dr_l/rasterizer.py new file mode 100755 index 0000000..f8456f1 --- /dev/null +++ b/jrender/renderer/dr/dr_l/rasterizer.py @@ -0,0 +1,57 @@ + +import numpy as np +import jittor as jt +from jittor import nn + +from .DrL_rasterize import * + +class DrL_Rasterizer(nn.Module): + def __init__(self, image_size=256, background_color=[0, 0, 0], near=1, far=100, + anti_aliasing=False, fill_back=False, eps=1e-3, + sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4, + gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod', + texture_type='surface', + bin_size = 0, max_elems_per_bin = 0, max_faces_per_pixel_for_grad=16): + super(DrL_Rasterizer, self).__init__() + + if dist_func not in ['hard', 'euclidean', 'barycentric']: + raise ValueError('Distance function only support hard, euclidean and barycentric') + if aggr_func_rgb not in ['hard', 'softmax']: + raise ValueError('Aggregate function(rgb) only support hard and softmax') + if aggr_func_alpha not in ['hard', 'prod', 'sum']: + raise ValueError('Aggregate function(a) only support hard, prod and sum') + if texture_type not in ['surface', 'vertex']: + raise ValueError('Texture type only support surface and vertex') + + self.image_size = image_size + self.background_color = background_color + self.near = near + self.far = far + self.anti_aliasing = anti_aliasing + self.eps = eps + self.fill_back = fill_back + self.sigma_val = sigma_val + self.dist_func = dist_func + self.dist_eps = dist_eps + self.gamma_val = gamma_val + self.aggr_func_rgb = aggr_func_rgb + self.aggr_func_alpha = aggr_func_alpha + self.texture_type = texture_type + + self.bin_size = bin_size + self.max_elems_per_bin = max_elems_per_bin + self.max_faces_per_pixel_for_grad = max_faces_per_pixel_for_grad + + def execute(self, mesh, mode=None): + image_size = self.image_size * (2 if self.anti_aliasing else 1) + images, points, msks = DrL_rasterize(mesh.face_vertices, mesh.face_textures, image_size, + self.background_color, self.near, self.far, + self.fill_back, self.eps, + self.sigma_val, self.dist_func, self.dist_eps, + self.gamma_val, self.aggr_func_rgb, self.aggr_func_alpha, + self.texture_type, self.bin_size, self.max_elems_per_bin, + self.max_faces_per_pixel_for_grad) + + if self.anti_aliasing: + images = nn.pool(images, 2, "mean", stride=2) + return images,points,msks \ No newline at end of file diff --git a/jrender/renderer/dr/softras/cuda/soft_rasterize.py b/jrender/renderer/dr/softras/cuda/soft_rasterize.py index e491b5b..e1faf47 100644 --- a/jrender/renderer/dr/softras/cuda/soft_rasterize.py +++ b/jrender/renderer/dr/softras/cuda/soft_rasterize.py @@ -520,449 +520,6 @@ def forward_soft_rasterize(face_vertices, textures, printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err)); ''') -def backward_soft_rasterize_naive(faces, textures, soft_colors, - faces_info, aggrs_info, - grad_faces, grad_textures, grad_soft_colors, - image_size, near, far, eps, - sigma_val, func_id_dist, dist_eps, - gamma_val, func_id_rgb, func_id_alpha, - texture_sample_type, double_side): - return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, - faces_info, aggrs_info, grad_soft_colors], - cuda_header=''' -#include -#include - -namespace{ - -template -__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) { - w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2]; - w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2]; - w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2]; -} - - -template -__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) { - return (x > max(max(face[0], face[3]), face[6]) + threshold || - x < min(min(face[0], face[3]), face[6]) - threshold || - y > max(max(face[1], face[4]), face[7]) + threshold || - y < min(min(face[1], face[4]), face[7]) - threshold); -} - - -template -__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) { - return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]); -} - - -template -__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) { - return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0; -} - - -template -__device__ __forceinline__ void barycentric_clip(scalar_t *w) { - for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.); - const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5); - for (int k = 0; k < 3; k++) w[k] /= w_sum; -} - - -template -__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y, - scalar_t *w, scalar_t *t, - const scalar_t* face, const scalar_t *face_info, - const scalar_t xp, const scalar_t yp) { - const scalar_t *face_sym = face_info + 9; - const scalar_t *face_obt = face_info + 18; - - if (w[0] > 0 && w[1] > 0 && w[2] > 0 && - w[0] < 1 && w[1] < 1 && w[2] < 1) { - // inside the triangle, w[0] + w[1] + w[2] = 0 - scalar_t dis_min = 100000000; - scalar_t dis_x_min = 0; - scalar_t dis_y_min = 0; - scalar_t a0[3]; - scalar_t t0[3]; - for (int k = 0; k < 3; k++) { - int v0 = k; - int v1 = (k + 1) % 3; - int v2 = (k + 2) % 3; - a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; - a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; - a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; - - t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); - t0[v1] = 1 - t0[v0]; - t0[v2] = 0; - - t0[0] -= w[0]; - t0[1] -= w[1]; - t0[2] -= w[2]; - - // calculate distance - dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6]; - dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7]; - scalar_t dis = dis_x * dis_x + dis_y * dis_y; - - if (dis < dis_min) { - dis_min = dis; - dis_x_min = dis_x; - dis_y_min = dis_y; - t[0] = t0[0]; - t[1] = t0[1]; - t[2] = t0[2]; - } - } - dis_x = dis_x_min; - dis_y = dis_y_min; - sign = 1; - } else { - int v0 = -1; - - if (w[1] <= 0 && w[2] <= 0) { - v0 = 0; - if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2; - } else if (w[2] <= 0 && w[0] <= 0) { - v0 = 1; - if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0; - } else if (w[0] <= 0 && w[1] <= 0) { - v0 = 2; - if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1; - } else - if (w[0] <= 0) v0 = 1; - else if (w[1] <= 0) v0 = 2; - else if (w[2] <= 0) v0 = 0; - - const int v1 = (v0 + 1) % 3; - const int v2 = (v0 + 2) % 3; - - scalar_t a0[3]; - - a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0]; - a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1]; - a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2]; - - t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]); - t[v1] = 1 - t[v0]; - t[v2] = 0; - - // clamp to [0, 1] - for (int k = 0; k < 3; k++) { - t[k] = min(max(t[k], 0.), 1.); - t[k] -= w[k]; - } - - // calculate distance - dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6]; - dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7]; - sign = -1; - } -} - - -template -__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) { - dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]); - dis = dis > 0 ? dis*dis : -dis*dis; -} - - -template -__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) { - const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0); - const scalar_t *face_inv = face_info; - for (int l = 0; l < 2; l++) { - for (int k = 0; k < 3; k++) { - scalar_t grad_kl = 0; - for (int q = 0; q < 3; q++) { - grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1)); - } - grad_v[k][l] = grad_kl * C; - grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis)); - } - } -} - - -template -__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) { - scalar_t texture_k; - if (texture_sample_type == 0) { // sample surface color with resolution as R - const int w_x = min(w[0] * R, float(R-1)); - const int w_y = min(w[1] * R, float(R-1)); - if ((w[0] + w[1]) * R - w_x - w_y <= 1) { - texture_k = texture[(w_y * R + w_x) * 3 + k]; - } else { - texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k]; - } - } else - if (texture_sample_type == 1) { // sample vertex color - texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k]; - } - return texture_k; -} - - -template -__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) { - scalar_t grad_texture_k; - if (texture_sample_type == 0) { // sample surface color with resolution as R - const int w_x = min(w[0] * R, float(R-1)); - const int w_y = min(w[1] * R, float(R-1)); - if ((w[0] + w[1]) * R - w_x - w_y <= 1) { - if (k == w_y * R + w_x) { - grad_texture_k = grad_color; - } - } else { - if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) { - grad_texture_k = grad_color; - } - } - } else - if (texture_sample_type == 1) { - grad_texture_k = w[k] * grad_color; - } - return grad_texture_k; -} - - -template -__global__ void backward_soft_rasterize_cuda_kernel( - const scalar_t* __restrict__ faces, - const scalar_t* __restrict__ textures, - const scalar_t* __restrict__ soft_colors, - const scalar_t* __restrict__ faces_info, - const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D - scalar_t* grad_faces, - scalar_t* grad_textures, - scalar_t* grad_soft_colors, - int batch_size, - int num_faces, - int image_size, - int texture_size, - int texture_res, - float near, - float far, - float eps, - float sigma_val, - int func_id_dist, - float dist_eps, - float gamma_val, - int func_id_rgb, - int func_id_alpha, - int texture_sample_type, - bool double_side) { - - //////////////////////// - //////////////////////// - - const int i = blockIdx.x * blockDim.x + threadIdx.x; - if (i >= batch_size * image_size * image_size) { - return; - } - const int is = image_size; - const int nf = num_faces; - const int bn = i / (is * is); - const int pn = i % (is * is); - const int yi = is - 1 - (pn / is); - const int xi = pn % is; - const scalar_t yp = (2. * yi + 1 - is) / is; - const scalar_t xp = (2. * xi + 1 - is) / is; - - const scalar_t* face = &faces[bn * nf * 9] - 9; - const scalar_t* texture = &textures[bn * nf * texture_size * 3] - texture_size * 3; - const scalar_t* face_info = &faces_info[bn * nf * 27] - 27; - - const scalar_t threshold = dist_eps * sigma_val; - - const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn]; - const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn]; - - for (int fn = 0; fn < nf; fn++) { - face += 9; - texture += texture_size * 3; - face_info += 27; - - if (check_border(xp, yp, face, sqrt(threshold))) continue; - - scalar_t dis; - scalar_t dis_x; - scalar_t dis_y; - scalar_t t[3]; - scalar_t w[3]; - scalar_t w0[3]; - scalar_t sign; - scalar_t soft_fragment; - - barycentric_coordinate(w, xp, yp, face_info); - - // compute probability map based on distance functions - if (func_id_dist == 0) { // hard assign - soft_fragment = check_pixel_inside(w) ? 1. : 0.; - if (soft_fragment == 0.) continue; // ??? - } else - if (func_id_dist == 1) { // barycentric distance - forward_barycentric_p2f_distance(dis, w); - for (int k = 0; k < 3; k++) t[k] = w[k]; - if (-dis >= threshold) continue; // ignore triangle far away from the pixel - soft_fragment = 1. / (1. + exp(-dis / sigma_val)); - } else - if (func_id_dist == 2) { // euclidean distance - euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp); - dis = dis_x * dis_x + dis_y * dis_y; - if (sign < 0 && dis >= threshold) continue; // ignore triangle too far away from the pixel - soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val)); - } - - - scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9]; - scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3]; - scalar_t grad_v[3][3] = {0}; - scalar_t C_grad_xy = 0; - - ///////////////////////////////////////////////////// - - // aggragate for alpha channel - scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn]; - if (func_id_alpha == 0) { // hard assign - // hard assign alpha channels does not have gradient - } else - if (func_id_alpha == 1) { // Sum - C_grad_xy_alpha /= nf; - } else - if (func_id_alpha == 2) { // Logical-Or - C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6); - } - C_grad_xy += C_grad_xy_alpha; - - ///////////////////////////////////////////////////// - for (int k = 0; k < 3; k++) w0[k] = w[k]; - barycentric_clip(w); - const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]); - if (zp < near || zp > far) continue; // triangle out of screen, pass - - // aggregate for rgb channels - if (func_id_rgb == 0) { // Hard assign, no gradient to xyz - if (fn == softmax_max) { - for (int k = 0; k < 3; k++) { - for (int j = 0; j < texture_size; j++) { - atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type)); - } - } - } - } else - if (func_id_rgb == 1 && (check_face_frontside(face) || double_side)) { // Softmax (Z * D) - scalar_t C_grad_xyz_rgb = 0.; - - const scalar_t zp_norm = (far - zp) / (far - near); - const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum; - - for (int k = 0; k < 3; k++) { - const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn]; - - for (int j = 0; j < texture_size; j++) { - const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type); - atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t); - } - - const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type); - C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]); - } - C_grad_xyz_rgb *= zp_softmax; - C_grad_xy += C_grad_xyz_rgb / soft_fragment; - - const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp; - grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2]; - grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5]; - grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8]; - } - - ///////////////////////////////////////////////////// - - C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient - // compute probability map gradient based on distance functions - if (func_id_dist == 1) { // barycentric distance - backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy); - } else - if (func_id_dist == 2) { // euclidean distance - for (int k = 0; k < 3; k++) { - for (int l = 0; l < 2; l++) { - grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y); - } - } - } - - atomicAdd(&grad_face[0], grad_v[0][0]); - atomicAdd(&grad_face[1], grad_v[0][1]); - atomicAdd(&grad_face[3], grad_v[1][0]); - atomicAdd(&grad_face[4], grad_v[1][1]); - atomicAdd(&grad_face[6], grad_v[2][0]); - atomicAdd(&grad_face[7], grad_v[2][1]); - - atomicAdd(&grad_face[2], grad_v[0][2]); - atomicAdd(&grad_face[5], grad_v[1][2]); - atomicAdd(&grad_face[8], grad_v[2][2]); - } -} -} - ''', - cuda_src=f''' - @alias(faces, in0) - @alias(textures, in1) - @alias(soft_colors, in2) - @alias(faces_info, in3) - @alias(aggrs_info, in4) - @alias(grad_soft_colors, in5) - @alias(grad_faces, out0) - @alias(grad_textures, out1) - - cudaMemsetAsync(out0_p, 0, out0->size); - cudaMemsetAsync(out1_p, 0, out1->size); - - const auto batch_size = faces_shape0; - const auto num_faces = faces_shape1; - const auto texture_size = textures_shape2; - const auto texture_res = int(sqrt(texture_size)); - const int threads = 512; - const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1); - - backward_soft_rasterize_cuda_kernel<<>>( - faces_p, - textures_p, - soft_colors_p, - faces_info_p, - aggrs_info_p, - grad_faces_p, - grad_textures_p, - grad_soft_colors_p, - batch_size, - num_faces, - {image_size}, - texture_size, - texture_res, - {near}, - {far}, - {eps}, - {sigma_val}, - {func_id_dist}, - {dist_eps}, - {gamma_val}, - {func_id_rgb}, - {func_id_alpha}, - {texture_sample_type}, - {double_side}); - - cudaError_t err = cudaGetLastError(); - if (err != cudaSuccess) - printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err)); - ''') - - def backward_soft_rasterize(faces, textures, soft_colors, faces_info, aggrs_info, faces_id_buffer, grad_faces, grad_textures, grad_soft_colors, diff --git a/jrender/renderer/renderer.py b/jrender/renderer/renderer.py index 261169e..3c0852f 100644 --- a/jrender/renderer/renderer.py +++ b/jrender/renderer/renderer.py @@ -44,8 +44,15 @@ def __init__(self, image_size=256, background_color=[0,0,0], near=1, far=100, max_faces_per_pixel_for_grad) elif dr_type == 'n3mr': self.rasterizer = N3mrRasterizer(image_size, anti_aliasing, background_color, fill_back) + elif dr_type=="DrL": + self.rasterizer = DrL_Rasterizer(image_size, background_color, near, far, + anti_aliasing, fill_back, eps, + sigma_val, dist_func, dist_eps, + gamma_val, aggr_func_rgb, aggr_func_alpha, + texture_type, bin_size, max_elems_per_bin, + max_faces_per_pixel_for_grad) else: - raise ValueError("dr_type should be one of None, 'softras' or 'n3mr'") + raise ValueError("dr_type should be one of None, 'softras' , 'n3mr'or 'DrL'") def set_sigma(self, sigma): self.rasterizer.sigma_val = sigma From 0d237d0d8d7e4177d2d6d6617dadae783ea46edb Mon Sep 17 00:00:00 2001 From: xjk Date: Thu, 1 Dec 2022 14:48:09 +0800 Subject: [PATCH 2/5] add drot demo --- data/furniture/gt/0.mtl | 13 +++ data/furniture/gt/0.mtl.png | Bin 0 -> 492111 bytes data/furniture/gt/0_bg.png | Bin 0 -> 356490 bytes data/furniture/gt/0_gt.png | Bin 0 -> 354414 bytes data/furniture/gt/1.mtl | 13 +++ data/furniture/gt/1.mtl.png | Bin 0 -> 1001464 bytes data/furniture/gt/2.mtl | 13 +++ data/furniture/gt/2.mtl.png | Bin 0 -> 779904 bytes data/furniture/gt/3.mtl | 13 +++ data/furniture/gt/3.mtl.png | Bin 0 -> 1017000 bytes data/furniture/gt/4.mtl | 13 +++ data/furniture/gt/4.mtl.png | Bin 0 -> 1028579 bytes data/furniture/gt/camera.txt | 2 + data/furniture/init/0.mtl | 13 +++ data/furniture/init/0.mtl.png | Bin 0 -> 492111 bytes data/furniture/init/0_bg.png | Bin 0 -> 356542 bytes data/furniture/init/0_gt.png | Bin 0 -> 362802 bytes data/furniture/init/1.mtl | 13 +++ data/furniture/init/1.mtl.png | Bin 0 -> 1001464 bytes data/furniture/init/2.mtl | 13 +++ data/furniture/init/2.mtl.png | Bin 0 -> 779904 bytes data/furniture/init/3.mtl | 13 +++ data/furniture/init/3.mtl.png | Bin 0 -> 1017000 bytes data/furniture/init/4.mtl | 13 +++ data/furniture/init/4.mtl.png | Bin 0 -> 1028579 bytes data/furniture/init/camera.txt | 2 + demo-drl.py | 165 ++++++++++++++++++++++++--------- jrender/renderer/renderer.py | 82 +--------------- 28 files changed, 261 insertions(+), 120 deletions(-) create mode 100755 data/furniture/gt/0.mtl create mode 100755 data/furniture/gt/0.mtl.png create mode 100755 data/furniture/gt/0_bg.png create mode 100755 data/furniture/gt/0_gt.png create mode 100755 data/furniture/gt/1.mtl create mode 100755 data/furniture/gt/1.mtl.png create mode 100755 data/furniture/gt/2.mtl create mode 100755 data/furniture/gt/2.mtl.png create mode 100755 data/furniture/gt/3.mtl create mode 100755 data/furniture/gt/3.mtl.png create mode 100755 data/furniture/gt/4.mtl create mode 100755 data/furniture/gt/4.mtl.png create mode 100755 data/furniture/gt/camera.txt create mode 100755 data/furniture/init/0.mtl create mode 100755 data/furniture/init/0.mtl.png create mode 100755 data/furniture/init/0_bg.png create mode 100755 data/furniture/init/0_gt.png create mode 100755 data/furniture/init/1.mtl create mode 100755 data/furniture/init/1.mtl.png create mode 100755 data/furniture/init/2.mtl create mode 100755 data/furniture/init/2.mtl.png create mode 100755 data/furniture/init/3.mtl create mode 100755 data/furniture/init/3.mtl.png create mode 100755 data/furniture/init/4.mtl create mode 100755 data/furniture/init/4.mtl.png create mode 100755 data/furniture/init/camera.txt mode change 100644 => 100755 jrender/renderer/renderer.py diff --git a/data/furniture/gt/0.mtl b/data/furniture/gt/0.mtl new file mode 100755 index 0000000..5858f9a --- /dev/null +++ b/data/furniture/gt/0.mtl @@ -0,0 +1,13 @@ +# Blender MTL File: 'd.blend' +# Material Count: 1 + +newmtl solid_001_wire.010 +Ns 1000.000000 +Ka 1.000000 1.000000 1.000000 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