Transformation_MiniLibrary.py

import numpy as np
from stl import mesh
import time


#-----------------------------------------------------------------------------------------
# Transformation Settings
#-----------------------------------------------------------------------------------------

FILE_NAME = 'Untitled'                       # Filename without extension
FOLDER_NAME_UNTRANSFORMED = '1/'
FOLDER_NAME_TRANSFORMED = '2/'    # Make sure this folder exists
CONE_ANGLE = 16                                 # Transformation angle
REFINEMENT_ITERATIONS = 1                       # refinement iterations of the stl. 2-3 is a good start for regular stls. If its already uniformaly fine, use 0 or 1. High number cause huge models and long script runtimes
TRANSFORMATION_TYPE = 'outward'                 # type of the cone: 'inward' & 'outward'

def test_t(one, two, three):
    print('t'+one+two+three)

def transformation_kegel(points, cone_angle_rad, cone_type):
    """
    Computes the cone-transformation (x', y', z') = (x / cos(angle), y / cos(angle), z + \sqrt{x^{2} + y^{2}} * tan(angle))
    for a list of points
    :param points: array
        array of points of shape ( , 3)
    :param cone_type: string
        String, either 'outward' or 'inward', defines which transformation should be used
    :return: array
        array of transformed points, of same shape as input array
    """
    if cone_type == 'outward':
        c = 1
    elif cone_type == 'inward':
        c = -1
    else:
        raise ValueError('{} is not a admissible type for the transformation'.format(cone_type))
    f = (lambda x, y, z: np.array([x/np.cos(cone_angle_rad), y/np.cos(cone_angle_rad), z + c * np.sqrt(x**2 + y**2)*np.tan(cone_angle_rad)]))
    points_transformed = list(map(f, points[:, 0], points[:, 1], points[:, 2]))
    return np.array(points_transformed)


def refinement_four_triangles(triangle):
    """
    Compute a refinement of a triangle. On every side, the midpoint is added. The three corner points and three
    midpoints result in four smaller triangles.
    :param triangle: array
        array of three points of shape (3, 3) (one triangle)
    :return: array
        array of shape (4, 3, 3) of four triangles
    """
    point1 = triangle[0]
    point2 = triangle[1]
    point3 = triangle[2]
    midpoint12 = (point1 + point2) / 2
    midpoint23 = (point2 + point3) / 2
    midpoint31 = (point3 + point1) / 2
    triangle1 = np.array([point1, midpoint12, midpoint31])
    triangle2 = np.array([point2, midpoint23, midpoint12])
    triangle3 = np.array([point3, midpoint31, midpoint23])
    triangle4 = np.array([midpoint12, midpoint23, midpoint31])
    return np.array([triangle1, triangle2, triangle3, triangle4])


def refinement_triangulation(triangle_array, num_iterations):
    """
    Compute a refinement of a triangulation using the refinement_four_triangles function.
    The number of iteration defines, how often the triangulation has to be refined; n iterations lead to
    4^n times many triangles.
    :param triangle_array: array
        array of shape (num_triangles, 3, 3) of triangles
    :param num_iterations: int
    :return: array
        array of shape (num_triangles*4^num_iterations, 3, 3) of triangles
    """
    refined_array = triangle_array
    for i in range(0, num_iterations):
        n_triangles = refined_array.shape[0]*4
        refined_array = np.array(list(map(refinement_four_triangles, refined_array)))
        refined_array = np.reshape(refined_array, (n_triangles, 3, 3))
    return refined_array


def transformation_STL_file(path, cone_type, cone_angle_deg, nb_iterations):
    """
    Read a stl-file, refine the triangulation and transform it according to the cone-transformation
    :param path: string
        path to the stl file
    :param cone_type: string
        String, either 'outward' or 'inward', defines which transformation should be used
    :param cone_angle: int
        angle to transform the part
    :param nb_iterations: int
        number of iterations, the triangulation should be refined before the transformation
    :return: mesh object
        transformed triangulation as mesh object which can be stored as stl file
    """
    cone_angle_rad = cone_angle_deg / 180 * np.pi
    my_mesh = mesh.Mesh.from_file(path)
    vectors = my_mesh.vectors
    vectors_refined = refinement_triangulation(vectors, nb_iterations)
    vectors_refined = np.reshape(vectors_refined, (-1, 3))
    vectors_transformed = transformation_kegel(vectors_refined, cone_angle_rad, cone_type)
    vectors_transformed = np.reshape(vectors_transformed, (-1, 3, 3))
    my_mesh_transformed = np.zeros(vectors_transformed.shape[0], dtype=mesh.Mesh.dtype)
    my_mesh_transformed['vectors'] = vectors_transformed
    my_mesh_transformed = mesh.Mesh(my_mesh_transformed)
    return my_mesh_transformed
def transform1(FILE_NAME, FOLDER_NAME_UNTRANSFORMED, FOLDER_NAME_TRANSFORMED, CONE_ANGLE, REFINEMENT_ITERATIONS, TRANSFORMATION_TYPE):
    startzeit = time.time()
    transformed_STL = transformation_STL_file(path=FOLDER_NAME_UNTRANSFORMED + FILE_NAME + '.stl', cone_type=TRANSFORMATION_TYPE, cone_angle_deg=CONE_ANGLE, nb_iterations=REFINEMENT_ITERATIONS)
    transformed_STL.save(FOLDER_NAME_TRANSFORMED + FILE_NAME + '_' + TRANSFORMATION_TYPE + '_' + str(CONE_ANGLE) + 'deg_transformed.stl')
    endzeit = time.time()
    print('Transformation time:', endzeit - startzeit)