From 757168ff49a4de53f9a9fc391388bec2deb2a7ed Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Mon, 11 May 2026 14:43:04 -0700 Subject: [PATCH 01/10] Add KHR_materials_scatter for discussion --- .../Khronos/KHR_materials_scatter/README.md | 359 +++++++++++++ .../figures/diffuse-sss.png | Bin 0 -> 713284 bytes .../figures/sss_anisotropy_-0.95.png | Bin 0 -> 255858 bytes .../figures/sss_anisotropy_0.0.png | Bin 0 -> 305380 bytes .../figures/sss_anisotropy_0.95.png | Bin 0 -> 419925 bytes .../figures/transmission-translucency.png | Bin 0 -> 936268 bytes .../KHR_materials_scatter/figures/volume.svg | 470 ++++++++++++++++++ ...material.KHR_materials_scatter.schema.json | 37 ++ 8 files changed, 866 insertions(+) create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/README.md create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/diffuse-sss.png create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/sss_anisotropy_-0.95.png create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/sss_anisotropy_0.0.png create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/sss_anisotropy_0.95.png create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/transmission-translucency.png create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/volume.svg create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md new file mode 100644 index 0000000000..1ff3ec3e5c --- /dev/null +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -0,0 +1,359 @@ +# KHR\_materials\_scatter + +## Contributors + +- Mike Bond, Adobe [@miibond](https://github.com/MiiBond) +- Tobias Haeussler, Dassault Systèmes [@proog128](https://github.com/proog128) +- Bastian Sdorra, Dassault Systèmes [@bsdorra](https://github.com/bsdorra) + +Copyright 2025 The Khronos Group Inc. All Rights Reserved. glTF is a trademark of The Khronos Group Inc. +See [Appendix](#appendix-full-khronos-copyright-statement) for full Khronos Copyright Statement. + +## Status + +Draft + +## Dependencies + +Written against the glTF 2.0 spec. This extension has no effect unless combined with `KHR_materials_transmission`. Optionally combined with `KHR_materials_volume` to activate volumetric scattering mode. + +## Exclusions + +- This extension must not be used on a material that also uses `KHR_materials_pbrSpecularGlossiness`. +- This extension must not be used on a material that also uses `KHR_materials_unlit`. +- This extension must not be used on a material that also uses `KHR_materials_diffuse_transmission`. +- This extension must not be used on a material that also uses `KHR_materials_volume_scatter`. + +## Table of Contents + +- [Overview](#overview) +- [Extending Materials](#extending-materials) +- [Properties](#properties) +- [Modes of Operation](#modes-of-operation) + - [Thin-Walled Mode](#thin-walled-mode) + - [Volumetric Mode](#volumetric-mode) +- [Scattering Parameters](#scattering-parameters) + - [Multi-Scatter Color](#multi-scatter-color) + - [Scatter Anisotropy](#scatter-anisotropy) +- [Material Structure Updates](#material-structure-updates) + - [Thin-Walled Mode](#material-structure-thin-walled-mode) + - [Volumetric Mode](#material-structure-volumetric-mode) +- [Interaction with Other Extensions](#interaction-with-other-extensions) + - [KHR\_materials\_transmission](#khr_materials_transmission-1) + - [KHR\_materials\_volume](#khr_materials_volume-1) + - [KHR\_materials\_ior](#khr_materials_ior) +- [Schema](#schema) +- [References](#references) +- [Appendix: Full Khronos Copyright Statement](#appendix-full-khronos-copyright-statement) + +## Overview + +Light that enters a material can be scattered before it exits, producing effects from the bright subsurface glow of skin and wax to the hazy translucency of frosted glass. The character of this scattering depends on whether the object is modeled as a thin surface or as a solid volume. + +`KHR_materials_scatter` is a unified scattering extension that works in both contexts. When applied to a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a diffuse scattered transmission lobe. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`. + +This unified approach is consistent with modern PBR material systems such as [OpenPBR](https://academysoftwarefoundation.github.io/OpenPBR/) and consolidates functionality previously split across `KHR_materials_diffuse_transmission` and `KHR_materials_volume_scatter`. + +
+ +
Left: thin-walled mode — scatter converts the specular BTDF into a diffuse BTDF at the surface. Right: volumetric mode — scatter adds a scattering coefficient to the interior of the volume.
+
+ +## Extending Materials + +The scattering properties are defined by adding the `KHR_materials_scatter` extension to any glTF material that also uses `KHR_materials_transmission`. + +**Thin-walled example** — a leaf or sheet of paper: + +```json +{ + "materials": [ + { + "extensions": { + "KHR_materials_scatter": { + "multiscatterColorFactor": [0.8, 0.9, 0.7], + "scatterAnisotropy": 0.3 + }, + "KHR_materials_transmission": { + "transmissionFactor": 1.0 + } + } + } + ] +} +``` + +**Volumetric example** — a candle or translucent wax figure: + +```json +{ + "materials": [ + { + "extensions": { + "KHR_materials_scatter": { + "multiscatterColorFactor": [0.8, 0.6, 0.5], + "scatterAnisotropy": 0.2 + }, + "KHR_materials_transmission": { + "transmissionFactor": 1.0 + }, + "KHR_materials_volume": { + "thicknessFactor": 1.0, + "attenuationDistance": 0.01, + "attenuationColor": [0.95, 0.85, 0.75] + } + } + } + ] +} +``` + +## Properties + +| | Type | Description | Required | +|------------------------------|------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------|----------------------------| +| **multiscatterColorFactor** | `number[3]` | The multi-scatter color. In volumetric mode, this is the multi-scatter albedo. In thin-walled mode, this is a surface tint applied to transmitted light. | No, default: `[1, 1, 1]` | +| **multiscatterColorTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the multi-scatter color, stored in the RGB channels and encoded in sRGB. This will be multiplied by the `multiscatterColorFactor`. | No | +| **scatterAnisotropy** | `number` | The anisotropy of scatter events. Range is (-1, 1). Positive values represent forward scattering; negative values represent backward scattering. | No, default: `0` | + +## Modes of Operation + +The mode is determined by the presence and configuration of `KHR_materials_volume`. + +### Thin-Walled Mode + +A material is in thin-walled mode when `KHR_materials_volume` is absent, or when `KHR_materials_volume` is present with `thicknessFactor = 0`. In this mode, `KHR_materials_scatter` modifies the surface BSDF: + +- The specular microfacet BTDF defined by `KHR_materials_transmission` is replaced with a diffuse BTDF, making the transmitted lobe scattered rather than refractive. +- `multiscatterColor` acts as a tint on the transmitted light, analogous to `diffuseTransmissionColorFactor` in `KHR_materials_diffuse_transmission`. +- `scatterAnisotropy` controls the forward/backward bias of the diffuse BTDF. A value of `0` produces a Lambertian (cosine-weighted) distribution. Positive values bias transmission in the forward direction; negative values bias it backward. + +This mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. + +### Volumetric Mode + +A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: + +- The behavior is equivalent to `KHR_materials_volume_scatter`. +- `multiscatterColor` defines the multi-scatter albedo $\rho_{ms}$, representing the perceived color of the scattering medium after many internal bounces. +- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. + +This mode is appropriate for optically thick objects with participating media, such as candles, skin, milk, or colored glass with subsurface color. + +## Scattering Parameters + +### Multi-Scatter Color + +The behavior of `multiscatterColor` differs between the two modes. + +**Thin-walled mode:** `multiscatterColor` is a multiplicative tint on the transmitted light. A value of `[1, 1, 1]` (the default) applies no tint — all wavelengths are transmitted equally. Lower values attenuate specific color channels, making the surface absorb those frequencies. + +``` +multiscatterColor = multiscatterColorFactor * sampleLinear(multiscatterColorTexture).rgb +``` + +**Volumetric mode:** `multiscatterColor` is the multi-scatter albedo $\rho_{ms}$ as defined by [Kulla and Conty (2017)](#KullaConty2017). It is a more intuitive parameterization of the scattering albedo because it corresponds to the perceived color of the medium after many bounces, rather than the single-scatter albedo that directly parameterizes the scattering coefficient. + +The single-scatter albedo $\rho_{ss}$ is derived from the multi-scatter albedo $\rho_{ms}$ as: + +$$ +\rho_{ss} = 1 - \left(4.09712 + 4.20863\,\rho_{ms} - \sqrt{9.59217 + 41.6808\,\rho_{ms} + 17.7126\,\rho_{ms}^2}\right)^2 +$$ + +Given the attenuation coefficient $\sigma_t = -\log(c)/d$ from `KHR_materials_volume`, the scattering and absorption coefficients are: + +$$ +\sigma_s = \sigma_t\,\rho_{ss}, \qquad \sigma_a = \sigma_t\,(1 - \rho_{ss}) +$$ + +> [!NOTE] +> In volumetric mode, `multiscatterColor` is a volume property. When textured, each texel in the 2D surface map competes to define the volume's multi-scatter albedo. This violates reciprocity in path tracing, causing the integration result to vary with view and light direction. Use with care. + +
+ +
A diffuse-only material (left) and a material with dense volumetric scattering (right), both set to the same apparent color. The multi-scatter albedo mapping ensures a consistent perceived color despite the different rendering modes.
+
+ +### Scatter Anisotropy + +**Thin-walled mode:** `scatterAnisotropy` biases the diffuse BTDF toward forward or backward scattering. A value of `0` gives a standard Lambertian BTDF. This can model materials that preferentially scatter light straight through (positive anisotropy, e.g. tissue paper) or materials that redirect light more toward the back-facing hemisphere (negative anisotropy). + +**Volumetric mode:** `scatterAnisotropy` controls the Henyey-Greenstein phase function $p(\mathbf{v}, \mathbf{l}; g)$, which determines the probability density of outgoing directions $\mathbf{l}$ given an incident direction $\mathbf{v}$ at each volumetric scattering event: + +$$ +p(\mathbf{v},\mathbf{l}; g) = \frac{1}{4\pi} \frac{1-g^2}{\left(1 + g^2 + 2g(\mathbf{v} \cdot \mathbf{l})\right)^{3/2}} +$$ + +The parameter $g$ maps directly to `scatterAnisotropy`. $g = 0$ gives isotropic scattering; $g > 0$ gives forward scattering (light continues in roughly the same direction); $g < 0$ gives backward scattering. + + + + + + + + + + + + + + + +
g = -0.95g = 0.0g = 0.95
+ Top-lit, dense scattering medium in volumetric mode for different scatter anisotropy values. +
+ +## Material Structure Updates + +*This section is normative.* + +### Thin-Walled Mode + +In thin-walled mode, `KHR_materials_scatter` modifies the `dielectric_brdf` defined in [Appendix B](https://registry.khronos.org/glTF/specs/2.0/glTF-2.0.html#material-structure) as extended by `KHR_materials_transmission`: + +``` +dielectric_brdf = + fresnel_mix( + ior = 1.5, + base = mix( + diffuse_brdf(color = baseColor), + specular_btdf(α = roughness^2) * baseColor, + transmission), + layer = specular_brdf(α = roughness^2) + ) +``` + +to the following: + +``` +dielectric_brdf = + fresnel_mix( + ior = 1.5, + base = mix( + diffuse_brdf(color = baseColor), + scatter_btdf(color = multiscatterColor, g = scatterAnisotropy), + transmission), + layer = specular_brdf(α = roughness^2) + ) +``` + +where `scatter_btdf` is a diffuse transmission function weighted by the Henyey-Greenstein phase function. When `scatterAnisotropy = 0`, this reduces to a standard Lambertian BTDF: + +``` +function scatter_btdf(color, g) { + if (view and light on opposite hemispheres) { + return (1/pi) * hg_weight(dot(view, light), g) * color + } else { + return 0 + } +} +``` + +where `hg_weight(cosTheta, g)` is the normalized Henyey-Greenstein weight projected onto the hemisphere. For `g = 0`, `hg_weight = 1` and the function reduces to a Lambertian BTDF. + +The amount of diffuse transmission is controlled by `transmissionFactor` from `KHR_materials_transmission`, which remains the sole control over how much of the base layer is transmitted rather than diffusely reflected. + +### Volumetric Mode + +In volumetric mode, `KHR_materials_scatter` does not modify the surface BSDF. The surface BSDF remains as defined by `KHR_materials_transmission` and `KHR_materials_volume`. Instead, this extension augments the volume transport by introducing a non-zero scattering coefficient $\sigma_s$, which was assumed to be zero in `KHR_materials_volume`. + +With `KHR_materials_volume` alone: + +$$ +\sigma_t = \sigma_a, \qquad \sigma_s = 0 +$$ + +With `KHR_materials_scatter` added: + +$$ +\sigma_t = \sigma_a + \sigma_s, \qquad \sigma_s = \sigma_t\,\rho_{ss}(\rho_{ms}) +$$ + +where $\sigma_t$ is derived from the `attenuationColor` and `attenuationDistance` of `KHR_materials_volume`, and $\rho_{ss}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above. $\sigma_t$ now accounts for both absorption and scattering, not absorption alone. + +## Interaction with Other Extensions + +### KHR\_materials\_transmission + +`KHR_materials_transmission` is required for `KHR_materials_scatter` to have any visible effect: + +- In thin-walled mode, `transmissionFactor` controls the fraction of the base layer that is scattered through the surface. Setting `transmissionFactor = 1.0` and using `KHR_materials_scatter` fully replaces the specular BTDF with a diffuse one. +- In volumetric mode, `transmissionFactor` controls the fraction of light allowed to enter the volume. Without any transmission, the volume interior is unreachable. + +### KHR\_materials\_volume + +`KHR_materials_volume` determines which mode `KHR_materials_scatter` operates in: + +- When absent (or `thicknessFactor = 0`): thin-walled mode. +- When present with `thicknessFactor > 0`: volumetric mode. + +For renderers that do not support full volumetric path tracing, it is acceptable to approximate volumetric mode using thin-walled mode behavior. In particular, for materials with very short scattering distances relative to their size (dense subsurface), the visual difference is small and the thin-walled diffuse approximation is efficient and widely applicable. Ray-tracers should use the actual geometry to compute path lengths through the volume rather than relying on `thicknessFactor`. + +### KHR\_materials\_ior + +When `KHR_materials_ior` is present, it sets the IOR for Fresnel calculations at the surface boundary. This applies regardless of scatter mode. In volumetric mode, the IOR also governs refraction of transmitted rays per the definitions in `KHR_materials_volume`. + +## Schema + +- [material.KHR_materials_scatter.schema.json](schema/material.KHR_materials_scatter.schema.json) + +## References + +- [Christensen, P. and B. Burley (2015): Approximate Reflectance Profiles for Efficient Subsurface Scattering](https://graphics.pixar.com/library/ApproxBSSRDF/paper.pdf) +- [Henyey, L. G. and J. L. Greenstein (1941): Diffuse radiation in the galaxy. Astrophysical Journal 93, 70–83](https://ui.adsabs.harvard.edu/abs/1941ApJ....93...70H/abstract) +- [Kulla C., Conty A. (2017): Revisiting Physically Based Shading at Imageworks](https://blog.selfshadow.com/publications/s2017-shading-course/imageworks/s2017_pbs_imageworks_slides_v2.pdf) +- [Academy Software Foundation: OpenPBR Surface Specification](https://academysoftwarefoundation.github.io/OpenPBR/) + +## Appendix: Full Khronos Copyright Statement + +Copyright 2025 The Khronos Group Inc. + +Some parts of this Specification are purely informative and do not define requirements +necessary for compliance and so are outside the Scope of this Specification. These +parts of the Specification are marked as being non-normative, or identified as +**Implementation Notes**. + +Where this Specification includes normative references to external documents, only the +specifically identified sections and functionality of those external documents are in +Scope. Requirements defined by external documents not created by Khronos may contain +contributions from non-members of Khronos not covered by the Khronos Intellectual +Property Rights Policy. + +This specification is protected by copyright laws and contains material proprietary +to Khronos. Except as described by these terms, it or any components +may not be reproduced, republished, distributed, transmitted, displayed, broadcast +or otherwise exploited in any manner without the express prior written permission +of Khronos. + +This specification has been created under the Khronos Intellectual Property Rights +Policy, which is Attachment A of the Khronos Group Membership Agreement available at +www.khronos.org/files/member_agreement.pdf. Khronos grants a conditional +copyright license to use and reproduce the unmodified specification for any purpose, +without fee or royalty, EXCEPT no licenses to any patent, trademark or other +intellectual property rights are granted under these terms. 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Under no circumstances will Khronos, or any of its Promoters, +Contributors or Members, or their respective partners, officers, directors, +employees, agents or representatives be liable for any damages, whether direct, +indirect, special or consequential damages for lost revenues, lost profits, or +otherwise, arising from or in connection with these materials. + +Vulkan is a registered trademark and Khronos, OpenXR, SPIR, SPIR-V, SYCL, WebGL, +WebCL, OpenVX, OpenVG, EGL, COLLADA, glTF, NNEF, OpenKODE, OpenKCAM, StreamInput, +OpenWF, OpenSL ES, OpenMAX, OpenMAX AL, OpenMAX IL, OpenMAX DL, OpenML and DevU are +trademarks of The Khronos Group Inc. ASTC is a trademark of ARM Holdings PLC, +OpenCL is a trademark of Apple Inc. and OpenGL and OpenML are registered trademarks +and the OpenGL ES and OpenGL SC logos are trademarks of Silicon Graphics +International used under license by Khronos. 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+ + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + IOR=1.5 + IOR=1.0 + + diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json b/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json new file mode 100644 index 0000000000..def827ac57 --- /dev/null +++ b/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json @@ -0,0 +1,37 @@ +{ + "$schema": "http://json-schema.org/draft-04/schema", + "title": "KHR_materials_scatter glTF Material Extension", + "type": "object", + "description": "glTF extension that defines scattering properties for both thin-walled and volumetric materials.", + "allOf": [ { "$ref": "glTFProperty.schema.json" } ], + "properties": { + "multiscatterColorFactor": { + "type": "array", + "items": { + "type": "number", + "minimum": 0.0, + "maximum": 1.0 + }, + "description": "The multi-scatter color.", + "default": [ 1.0, 1.0, 1.0 ], + "minItems": 3, + "maxItems": 3, + "gltf_detailedDescription": "In volumetric mode (KHR_materials_volume present with thicknessFactor > 0), this is the multi-scatter albedo: the perceived color of the scattering medium after many internal bounces. In thin-walled mode, this is a multiplicative tint on the transmitted light. A value of [1, 1, 1] applies no tint." + }, + "multiscatterColorTexture": { + "allOf": [ { "$ref": "textureInfo.schema.json" } ], + "description": "A texture that defines the multi-scatter color, stored in the RGB channels and encoded in sRGB.", + "gltf_detailedDescription": "A texture that defines the multi-scatter color, stored in the RGB channels and encoded in sRGB. This texture will be multiplied by the multiscatterColorFactor value." + }, + "scatterAnisotropy": { + "type": "number", + "description": "The anisotropy of scatter events. Range is (-1, 1).", + "default": 0.0, + "exclusiveMinimum": -1.0, + "exclusiveMaximum": 1.0, + "gltf_detailedDescription": "Controls the directionality of scattered light. In volumetric mode, this is the g parameter of the Henyey-Greenstein phase function. In thin-walled mode, this biases the diffuse BTDF toward forward (positive) or backward (negative) scattering. A value of 0 gives isotropic (Lambertian) diffuse transmission." + }, + "extensions": { }, + "extras": { } + } +} From 6272780f1b205845671525f8737cf4f7fb739e9f Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Mon, 1 Jun 2026 08:40:20 -0700 Subject: [PATCH 02/10] KHR_materials_scatter: add scatterFactor/scatterTexture, fix scatterAnisotropy semantics - Add scatterFactor (default 0) and scatterTexture (alpha channel) properties to control scattering weight; default-off follows glTF extension convention - scatterTexture uses the alpha channel so it can share a texture with multiscatterColorTexture - In thin-walled mode, scatterFactor lerps between specular BTDF and scatter BSDF, and lerps the scattered color between baseColor and multiscatterColor - In volumetric mode, scatterFactor scales the effective multi-scatter albedo - Correct scatterAnisotropy thin-walled semantics: the parameter controls the hemisphere split (forward fraction = (1+g)/2, backward = (1-g)/2), not a bias on a pure BTDF; rename scatter_btdf -> scatter_bsdf throughout Co-Authored-By: Claude Sonnet 4.6 --- .../Khronos/KHR_materials_scatter/README.md | 101 ++++++++++++------ ...material.KHR_materials_scatter.schema.json | 15 ++- 2 files changed, 81 insertions(+), 35 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 1ff3ec3e5c..d110db6839 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -26,25 +26,32 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined ## Table of Contents -- [Overview](#overview) -- [Extending Materials](#extending-materials) -- [Properties](#properties) -- [Modes of Operation](#modes-of-operation) - - [Thin-Walled Mode](#thin-walled-mode) - - [Volumetric Mode](#volumetric-mode) -- [Scattering Parameters](#scattering-parameters) - - [Multi-Scatter Color](#multi-scatter-color) - - [Scatter Anisotropy](#scatter-anisotropy) -- [Material Structure Updates](#material-structure-updates) - - [Thin-Walled Mode](#material-structure-thin-walled-mode) - - [Volumetric Mode](#material-structure-volumetric-mode) -- [Interaction with Other Extensions](#interaction-with-other-extensions) - - [KHR\_materials\_transmission](#khr_materials_transmission-1) - - [KHR\_materials\_volume](#khr_materials_volume-1) - - [KHR\_materials\_ior](#khr_materials_ior) -- [Schema](#schema) -- [References](#references) -- [Appendix: Full Khronos Copyright Statement](#appendix-full-khronos-copyright-statement) +- [KHR\_materials\_scatter](#khr_materials_scatter) + - [Contributors](#contributors) + - [Status](#status) + - [Dependencies](#dependencies) + - [Exclusions](#exclusions) + - [Table of Contents](#table-of-contents) + - [Overview](#overview) + - [Extending Materials](#extending-materials) + - [Properties](#properties) + - [Modes of Operation](#modes-of-operation) + - [Thin-Walled Mode](#thin-walled-mode) + - [Volumetric Mode](#volumetric-mode) + - [Scattering Parameters](#scattering-parameters) + - [Scatter Factor](#scatter-factor) + - [Multi-Scatter Color](#multi-scatter-color) + - [Scatter Anisotropy](#scatter-anisotropy) + - [Material Structure Updates](#material-structure-updates) + - [Thin-Walled Mode](#thin-walled-mode-1) + - [Volumetric Mode](#volumetric-mode-1) + - [Interaction with Other Extensions](#interaction-with-other-extensions) + - [KHR\_materials\_transmission](#khr_materials_transmission) + - [KHR\_materials\_volume](#khr_materials_volume) + - [KHR\_materials\_ior](#khr_materials_ior) + - [Schema](#schema) + - [References](#references) + - [Appendix: Full Khronos Copyright Statement](#appendix-full-khronos-copyright-statement) ## Overview @@ -112,6 +119,8 @@ The scattering properties are defined by adding the `KHR_materials_scatter` exte | | Type | Description | Required | |------------------------------|------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------|----------------------------| +| **scatterFactor** | `number` | The weight of the scattering effect. Range is [0, 1]. At 0, scattering is disabled; at 1, scattering is fully applied. | No, default: `0` | +| **scatterTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the per-texel scatter weight, stored in the alpha (A) channel. Will be multiplied by `scatterFactor`. | No | | **multiscatterColorFactor** | `number[3]` | The multi-scatter color. In volumetric mode, this is the multi-scatter albedo. In thin-walled mode, this is a surface tint applied to transmitted light. | No, default: `[1, 1, 1]` | | **multiscatterColorTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the multi-scatter color, stored in the RGB channels and encoded in sRGB. This will be multiplied by the `multiscatterColorFactor`. | No | | **scatterAnisotropy** | `number` | The anisotropy of scatter events. Range is (-1, 1). Positive values represent forward scattering; negative values represent backward scattering. | No, default: `0` | @@ -124,9 +133,9 @@ The mode is determined by the presence and configuration of `KHR_materials_volum A material is in thin-walled mode when `KHR_materials_volume` is absent, or when `KHR_materials_volume` is present with `thicknessFactor = 0`. In this mode, `KHR_materials_scatter` modifies the surface BSDF: -- The specular microfacet BTDF defined by `KHR_materials_transmission` is replaced with a diffuse BTDF, making the transmitted lobe scattered rather than refractive. -- `multiscatterColor` acts as a tint on the transmitted light, analogous to `diffuseTransmissionColorFactor` in `KHR_materials_diffuse_transmission`. -- `scatterAnisotropy` controls the forward/backward bias of the diffuse BTDF. A value of `0` produces a Lambertian (cosine-weighted) distribution. Positive values bias transmission in the forward direction; negative values bias it backward. +- `scatterFactor` lerps between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1), and simultaneously lerps the scattered color between `baseColor` and `multiscatterColor`. +- `multiscatterColor` is the color of the fully-scattered lobe, analogous to `diffuseTransmissionColorFactor` in `KHR_materials_diffuse_transmission`. +- `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. This mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. @@ -134,14 +143,24 @@ This mode is appropriate for thin objects with dense internal structure, such as A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: -- The behavior is equivalent to `KHR_materials_volume_scatter`. +- `scatterFactor` scales the effective multi-scatter albedo. At 0, there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is applied. - `multiscatterColor` defines the multi-scatter albedo $\rho_{ms}$, representing the perceived color of the scattering medium after many internal bounces. - `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. -This mode is appropriate for optically thick objects with participating media, such as candles, skin, milk, or colored glass with subsurface color. +This mode is appropriate for optically thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. ## Scattering Parameters +### Scatter Factor + +`scatterFactor` is the primary on/off and blending control for the extension. Its evaluation is the same in both modes: + +``` +scatter = scatterFactor * scatterTexture.a +``` + +When no `scatterTexture` is provided, `scatter = scatterFactor`. The alpha channel is used so that `scatterTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter weight into the unused alpha channel of the RGB scatter color. The resulting `scatter` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatter = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatter = 1` the full scattering effect is applied. + ### Multi-Scatter Color The behavior of `multiscatterColor` differs between the two modes. @@ -176,7 +195,7 @@ $$ ### Scatter Anisotropy -**Thin-walled mode:** `scatterAnisotropy` biases the diffuse BTDF toward forward or backward scattering. A value of `0` gives a standard Lambertian BTDF. This can model materials that preferentially scatter light straight through (positive anisotropy, e.g. tissue paper) or materials that redirect light more toward the back-facing hemisphere (negative anisotropy). +**Thin-walled mode:** `scatterAnisotropy` controls how scattered light is split between the reflected and transmitted hemispheres. At `+1`, all scattered energy exits through the transmission hemisphere (pure diffuse BTDF — tissue paper, thin wax). At `-1`, all scattered energy exits through the reflection hemisphere (pure diffuse BRDF — the surface appears opaque and Lambertian with `multiscatterColor`). At `0`, energy is split equally between the two hemispheres. **Volumetric mode:** `scatterAnisotropy` controls the Henyey-Greenstein phase function $p(\mathbf{v}, \mathbf{l}; g)$, which determines the probability density of outgoing directions $\mathbf{l}$ given an incident direction $\mathbf{v}$ at each volumetric scattering event: @@ -227,32 +246,40 @@ dielectric_brdf = to the following: ``` +scatter = scatterFactor * scatterTexture.a +scatterColor = mix(baseColor, multiscatterColor, scatter) + dielectric_brdf = fresnel_mix( ior = 1.5, base = mix( diffuse_brdf(color = baseColor), - scatter_btdf(color = multiscatterColor, g = scatterAnisotropy), + mix( + specular_btdf(α = roughness^2) * baseColor, + scatter_bsdf(color = scatterColor, g = scatterAnisotropy), + scatter), transmission), layer = specular_brdf(α = roughness^2) ) ``` -where `scatter_btdf` is a diffuse transmission function weighted by the Henyey-Greenstein phase function. When `scatterAnisotropy = 0`, this reduces to a standard Lambertian BTDF: +where `scatter_bsdf` is a full diffuse BSDF that distributes scattered energy across both hemispheres according to `scatterAnisotropy`. The forward fraction `(1 + g) / 2` exits through the transmission hemisphere; the backward fraction `(1 - g) / 2` exits through the reflection hemisphere: ``` -function scatter_btdf(color, g) { +function scatter_bsdf(color, g) { + forwardFraction = (1 + g) / 2 + backwardFraction = (1 - g) / 2 if (view and light on opposite hemispheres) { - return (1/pi) * hg_weight(dot(view, light), g) * color + return (1/pi) * forwardFraction * color } else { - return 0 + return (1/pi) * backwardFraction * color } } ``` -where `hg_weight(cosTheta, g)` is the normalized Henyey-Greenstein weight projected onto the hemisphere. For `g = 0`, `hg_weight = 1` and the function reduces to a Lambertian BTDF. +At `g = +1`, `scatter_bsdf` is a pure Lambertian BTDF. At `g = -1`, it is a pure Lambertian BRDF, making the surface opaque with diffuse color `scatterColor`. At `g = 0`, energy is split equally between the two hemispheres. -The amount of diffuse transmission is controlled by `transmissionFactor` from `KHR_materials_transmission`, which remains the sole control over how much of the base layer is transmitted rather than diffusely reflected. +At `scatter = 0`, the inner `mix` collapses to `specular_btdf * baseColor` and `scatterColor = baseColor`, recovering plain `KHR_materials_transmission` behaviour. At `scatter = 1`, only `scatter_bsdf(multiscatterColor, g)` remains. The amount of transmission is still gated by `transmissionFactor` from `KHR_materials_transmission`. ### Volumetric Mode @@ -267,10 +294,16 @@ $$ With `KHR_materials_scatter` added: $$ -\sigma_t = \sigma_a + \sigma_s, \qquad \sigma_s = \sigma_t\,\rho_{ss}(\rho_{ms}) +\sigma_t = \sigma_a + \sigma_s, \qquad \sigma_s = \sigma_t\,\rho_{ss}(\rho_{ms}^*) +$$ + +where the effective multi-scatter albedo $\rho_{ms}^*$ is scaled by `scatter`: + +$$ +\rho_{ms}^* = \mathtt{scatter} \times \rho_{ms}, \qquad \mathtt{scatter} = \mathtt{scatterFactor} \times \mathtt{scatterTexture.a} $$ -where $\sigma_t$ is derived from the `attenuationColor` and `attenuationDistance` of `KHR_materials_volume`, and $\rho_{ss}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above. $\sigma_t$ now accounts for both absorption and scattering, not absorption alone. +$\rho_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho_{ss}$ is derived from $\rho_{ms}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho_{ms}^* = 0$ and therefore $\rho_{ss} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_t$ now accounts for both absorption and scattering, not absorption alone. ## Interaction with Other Extensions diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json b/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json index def827ac57..ef0e3261ce 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json +++ b/extensions/2.0/Khronos/KHR_materials_scatter/schema/material.KHR_materials_scatter.schema.json @@ -5,6 +5,19 @@ "description": "glTF extension that defines scattering properties for both thin-walled and volumetric materials.", "allOf": [ { "$ref": "glTFProperty.schema.json" } ], "properties": { + "scatterFactor": { + "type": "number", + "description": "The weight of the scattering effect. Range is [0, 1].", + "default": 0.0, + "minimum": 0.0, + "maximum": 1.0, + "gltf_detailedDescription": "Controls the overall strength of scattering. At 0, scattering is fully disabled and the material behaves as if KHR_materials_scatter were absent. At 1, the full scattering effect defined by multiscatterColorFactor and scatterAnisotropy is applied. In thin-walled mode, this lerps the transmission lobe between specular and diffuse and the transmitted color between baseColor and multiscatterColor. In volumetric mode, this scales the effective multi-scatter albedo." + }, + "scatterTexture": { + "allOf": [ { "$ref": "textureInfo.schema.json" } ], + "description": "A texture that defines the per-texel scatter weight, stored in the alpha (A) channel.", + "gltf_detailedDescription": "A texture that defines the per-texel scatter weight, stored in the alpha (A) channel. This texture will be multiplied by the scatterFactor value. The alpha channel is used so that this texture can be shared with multiscatterColorTexture, packing the scatter weight alongside the RGB scatter color." + }, "multiscatterColorFactor": { "type": "array", "items": { @@ -29,7 +42,7 @@ "default": 0.0, "exclusiveMinimum": -1.0, "exclusiveMaximum": 1.0, - "gltf_detailedDescription": "Controls the directionality of scattered light. In volumetric mode, this is the g parameter of the Henyey-Greenstein phase function. In thin-walled mode, this biases the diffuse BTDF toward forward (positive) or backward (negative) scattering. A value of 0 gives isotropic (Lambertian) diffuse transmission." + "gltf_detailedDescription": "Controls the directionality of scattered light. In volumetric mode, this is the g parameter of the Henyey-Greenstein phase function. In thin-walled mode, this controls the split of scattered energy between the two hemispheres: at +1, all light is transmitted forward (pure diffuse BTDF); at -1, all light is reflected back (pure diffuse BRDF, opaque Lambertian with multiscatterColor); at 0, energy is split equally between reflection and transmission." }, "extensions": { }, "extras": { } From 548c3bdb2a79a5e1653195b1de707d4680b7b238 Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Mon, 1 Jun 2026 09:10:48 -0700 Subject: [PATCH 03/10] Rename scatter to scatterWeight --- .../Khronos/KHR_materials_scatter/README.md | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index d110db6839..0a44be30af 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -119,8 +119,8 @@ The scattering properties are defined by adding the `KHR_materials_scatter` exte | | Type | Description | Required | |------------------------------|------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------|----------------------------| -| **scatterFactor** | `number` | The weight of the scattering effect. Range is [0, 1]. At 0, scattering is disabled; at 1, scattering is fully applied. | No, default: `0` | -| **scatterTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the per-texel scatter weight, stored in the alpha (A) channel. Will be multiplied by `scatterFactor`. | No | +| **scatterStrengthFactor** | `number` | The strength of the scattering effect. Range is [0, 1]. At 0, scattering is disabled; at 1, scattering is fully applied. | No, default: `0` | +| **scatterStrengthTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the per-texel scatter strength, stored in the alpha (A) channel. Will be multiplied by `scatterStrengthFactor`. | No | | **multiscatterColorFactor** | `number[3]` | The multi-scatter color. In volumetric mode, this is the multi-scatter albedo. In thin-walled mode, this is a surface tint applied to transmitted light. | No, default: `[1, 1, 1]` | | **multiscatterColorTexture** | [`textureInfo`](https://www.khronos.org/registry/glTF/specs/2.0/glTF-2.0.html#reference-textureinfo) | A texture that defines the multi-scatter color, stored in the RGB channels and encoded in sRGB. This will be multiplied by the `multiscatterColorFactor`. | No | | **scatterAnisotropy** | `number` | The anisotropy of scatter events. Range is (-1, 1). Positive values represent forward scattering; negative values represent backward scattering. | No, default: `0` | @@ -133,7 +133,7 @@ The mode is determined by the presence and configuration of `KHR_materials_volum A material is in thin-walled mode when `KHR_materials_volume` is absent, or when `KHR_materials_volume` is present with `thicknessFactor = 0`. In this mode, `KHR_materials_scatter` modifies the surface BSDF: -- `scatterFactor` lerps between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1), and simultaneously lerps the scattered color between `baseColor` and `multiscatterColor`. +- `scatterStrengthFactor` lerps between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1), and simultaneously lerps the scattered color between `baseColor` and `multiscatterColor`. - `multiscatterColor` is the color of the fully-scattered lobe, analogous to `diffuseTransmissionColorFactor` in `KHR_materials_diffuse_transmission`. - `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. @@ -143,7 +143,7 @@ This mode is appropriate for thin objects with dense internal structure, such as A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: -- `scatterFactor` scales the effective multi-scatter albedo. At 0, there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is applied. +- `scatterStrengthFactor` scales the effective multi-scatter albedo. At 0, there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is applied. - `multiscatterColor` defines the multi-scatter albedo $\rho_{ms}$, representing the perceived color of the scattering medium after many internal bounces. - `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. @@ -153,13 +153,13 @@ This mode is appropriate for optically thick objects with participating media, s ### Scatter Factor -`scatterFactor` is the primary on/off and blending control for the extension. Its evaluation is the same in both modes: +`scatterStrengthFactor` is the primary on/off and blending control for the extension. Its evaluation is the same in both modes: ``` -scatter = scatterFactor * scatterTexture.a +scatter = scatterStrengthFactor * scatterStrengthTexture.a ``` -When no `scatterTexture` is provided, `scatter = scatterFactor`. The alpha channel is used so that `scatterTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter weight into the unused alpha channel of the RGB scatter color. The resulting `scatter` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatter = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatter = 1` the full scattering effect is applied. +When no `scatterStrengthTexture` is provided, `scatter = scatterStrengthFactor`. The alpha channel is used so that `scatterStrengthTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter strength into the unused alpha channel of the RGB scatter color. The resulting `scatter` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatter = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatter = 1` the full scattering effect is applied. ### Multi-Scatter Color @@ -246,7 +246,7 @@ dielectric_brdf = to the following: ``` -scatter = scatterFactor * scatterTexture.a +scatter = scatterStrengthFactor * scatterStrengthTexture.a scatterColor = mix(baseColor, multiscatterColor, scatter) dielectric_brdf = @@ -300,7 +300,7 @@ $$ where the effective multi-scatter albedo $\rho_{ms}^*$ is scaled by `scatter`: $$ -\rho_{ms}^* = \mathtt{scatter} \times \rho_{ms}, \qquad \mathtt{scatter} = \mathtt{scatterFactor} \times \mathtt{scatterTexture.a} +\rho_{ms}^* = \mathtt{scatter} \times \rho_{ms}, \qquad \mathtt{scatter} = \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} $$ $\rho_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho_{ss}$ is derived from $\rho_{ms}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho_{ms}^* = 0$ and therefore $\rho_{ss} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_t$ now accounts for both absorption and scattering, not absorption alone. From 0e7f254b1fcd734f5e69754698fdb20f9dfe1dc3 Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Fri, 26 Jun 2026 16:30:17 -0700 Subject: [PATCH 04/10] Minor updates --- .../Khronos/KHR_materials_scatter/README.md | 43 ++++++++---------- .../figures/thin-walled-volume.png | Bin 0 -> 3554534 bytes 2 files changed, 20 insertions(+), 23 deletions(-) create mode 100644 extensions/2.0/Khronos/KHR_materials_scatter/figures/thin-walled-volume.png diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 0a44be30af..360d4c3d69 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -22,7 +22,6 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined - This extension must not be used on a material that also uses `KHR_materials_pbrSpecularGlossiness`. - This extension must not be used on a material that also uses `KHR_materials_unlit`. - This extension must not be used on a material that also uses `KHR_materials_diffuse_transmission`. -- This extension must not be used on a material that also uses `KHR_materials_volume_scatter`. ## Table of Contents @@ -55,14 +54,12 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined ## Overview -Light that enters a material can be scattered before it exits, producing effects from the bright subsurface glow of skin and wax to the hazy translucency of frosted glass. The character of this scattering depends on whether the object is modeled as a thin surface or as a solid volume. +Light that enters a material can be scattered before it exits, producing effects from the bright subsurface glow of skin and wax to the hazy translucency of frosted glass. The character of this scattering depends on whether the object is modeled as a thin surface or as a solid volume. `KHR_materials_scatter` is a unified scattering extension that works in both contexts. -`KHR_materials_scatter` is a unified scattering extension that works in both contexts. When applied to a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a diffuse scattered transmission lobe. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`. - -This unified approach is consistent with modern PBR material systems such as [OpenPBR](https://academysoftwarefoundation.github.io/OpenPBR/) and consolidates functionality previously split across `KHR_materials_diffuse_transmission` and `KHR_materials_volume_scatter`. +When applied to a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a linear interpolation between a diffuse transmission lobe and diffuse reflection lobe based on scatter anisotropy. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`.

    - +
    Left: thin-walled mode — scatter converts the specular BTDF into a diffuse BTDF at the surface. Right: volumetric mode — scatter adds a scattering coefficient to the interior of the volume.
    @@ -133,9 +130,9 @@ The mode is determined by the presence and configuration of `KHR_materials_volum A material is in thin-walled mode when `KHR_materials_volume` is absent, or when `KHR_materials_volume` is present with `thicknessFactor = 0`. In this mode, `KHR_materials_scatter` modifies the surface BSDF: -- `scatterStrengthFactor` lerps between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1), and simultaneously lerps the scattered color between `baseColor` and `multiscatterColor`. -- `multiscatterColor` is the color of the fully-scattered lobe, analogous to `diffuseTransmissionColorFactor` in `KHR_materials_diffuse_transmission`. -- `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. +- `scatterStrength` linearly interpolates between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1). The BTDF uses the `baseColor` as the multiplier and the BSDF uses `multiscatterColor`. +- `multiscatterColor` is the color of the fully-scattered lobe, analogous to `diffuseTransmissionColor` in `KHR_materials_diffuse_transmission`. +- `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with albedo defined by `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. This mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. @@ -143,9 +140,9 @@ This mode is appropriate for thin objects with dense internal structure, such as A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: -- `scatterStrengthFactor` scales the effective multi-scatter albedo. At 0, there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is applied. -- `multiscatterColor` defines the multi-scatter albedo $\rho_{ms}$, representing the perceived color of the scattering medium after many internal bounces. -- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. +- `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black and there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. +- `multiscatterColor` defines the multi-scatter albedo, representing the perceived color of the scattering medium after many internal bounces. +- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. The Henyey-Greenstein phase function is the standard model for anisotropic volumetric scattering in production renderers, parameterized by a single asymmetry parameter. This mode is appropriate for optically thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. @@ -159,18 +156,19 @@ This mode is appropriate for optically thick objects with participating media, s scatter = scatterStrengthFactor * scatterStrengthTexture.a ``` -When no `scatterStrengthTexture` is provided, `scatter = scatterStrengthFactor`. The alpha channel is used so that `scatterStrengthTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter strength into the unused alpha channel of the RGB scatter color. The resulting `scatter` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatter = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatter = 1` the full scattering effect is applied. +When no `scatterStrengthTexture` is provided, `scatterStrength = scatterStrengthFactor`. The alpha channel is used so that `scatterStrengthTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter strength into the unused alpha channel of the RGB scatter color. The resulting `scatterStrength` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatterStrength = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatterStrength = 1` the full scattering effect is applied. ### Multi-Scatter Color -The behavior of `multiscatterColor` differs between the two modes. - -**Thin-walled mode:** `multiscatterColor` is a multiplicative tint on the transmitted light. A value of `[1, 1, 1]` (the default) applies no tint — all wavelengths are transmitted equally. Lower values attenuate specific color channels, making the surface absorb those frequencies. - +The evaluation of `multiscatterColor` is: ``` multiscatterColor = multiscatterColorFactor * sampleLinear(multiscatterColorTexture).rgb ``` +However, the behaviour differs between the two modes: + +**Thin-walled mode:** `multiscatterColor` is a multiplicative tint on the transmitted light. A value of `[1, 1, 1]` (the default) applies no tint — all wavelengths are transmitted equally. Lower values attenuate specific color channels, making the surface absorb those frequencies. + **Volumetric mode:** `multiscatterColor` is the multi-scatter albedo $\rho_{ms}$ as defined by [Kulla and Conty (2017)](#KullaConty2017). It is a more intuitive parameterization of the scattering albedo because it corresponds to the perceived color of the medium after many bounces, rather than the single-scatter albedo that directly parameterizes the scattering coefficient. The single-scatter albedo $\rho_{ss}$ is derived from the multi-scatter albedo $\rho_{ms}$ as: @@ -186,7 +184,7 @@ $$ $$ > [!NOTE] -> In volumetric mode, `multiscatterColor` is a volume property. When textured, each texel in the 2D surface map competes to define the volume's multi-scatter albedo. This violates reciprocity in path tracing, causing the integration result to vary with view and light direction. Use with care. +> In volumetric mode, `multiscatterColor` is a volume property. When textured, each texel in the 2D surface map competes to define the volume's multi-scatter albedo. This violates reciprocity in path tracing, causing the integration result to vary with view and light direction. Because of this, textured `multiscatterColor` is most appropriate for densely-scattering media. Use with care.
    @@ -246,8 +244,7 @@ dielectric_brdf = to the following: ``` -scatter = scatterStrengthFactor * scatterStrengthTexture.a -scatterColor = mix(baseColor, multiscatterColor, scatter) +scatterStrength = scatterStrengthFactor * scatterStrengthTexture.a dielectric_brdf = fresnel_mix( @@ -256,8 +253,8 @@ dielectric_brdf = diffuse_brdf(color = baseColor), mix( specular_btdf(α = roughness^2) * baseColor, - scatter_bsdf(color = scatterColor, g = scatterAnisotropy), - scatter), + scatter_bsdf(color = multiscatterColor, g = scatterAnisotropy), + scatterStrength), transmission), layer = specular_brdf(α = roughness^2) ) @@ -279,7 +276,7 @@ function scatter_bsdf(color, g) { At `g = +1`, `scatter_bsdf` is a pure Lambertian BTDF. At `g = -1`, it is a pure Lambertian BRDF, making the surface opaque with diffuse color `scatterColor`. At `g = 0`, energy is split equally between the two hemispheres. -At `scatter = 0`, the inner `mix` collapses to `specular_btdf * baseColor` and `scatterColor = baseColor`, recovering plain `KHR_materials_transmission` behaviour. At `scatter = 1`, only `scatter_bsdf(multiscatterColor, g)` remains. The amount of transmission is still gated by `transmissionFactor` from `KHR_materials_transmission`. +At `scatterStrength = 0`, the inner `mix` collapses to `specular_btdf * baseColor`, recovering plain `KHR_materials_transmission` behaviour. At `scatterStrength = 1`, only `scatter_bsdf(multiscatterColor, g)` remains. The amount of transmission is still gated by `transmissionFactor` from `KHR_materials_transmission`. ### Volumetric Mode diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/figures/thin-walled-volume.png b/extensions/2.0/Khronos/KHR_materials_scatter/figures/thin-walled-volume.png new file mode 100644 index 0000000000000000000000000000000000000000..28c4c115502fa96fb155ce2d432c50e0f9b197b3 GIT binary patch literal 3554534 zcmV)+K#0GIP)cH+00009a7bBm000&x z000&x0ZCFM@Bk1107*naRCt`s{YjH#S(fLA{qFqUQ&lr}kBE%OjGSsB*wu|{3JMf( z5^_g^A|yeA(iDCWF6!HG!3{qE7vz>Ai!o zSZhf84#4@kLXKQwVqZ6)lWL`2ucQ>I#*ns%0rpy{XksorJiOvNhlMsx%wghszG8Y| zo*Yv+f@(a(#D~xBD9X}Md~let!Lz4~vj#UWEZ(vlPQ-nsg@X>{#aXV6A|?p)xy7w!%kr8K>RQgC}$I`Zq>z`gUvwDA{P zYW#oy-~S&T9v?W}ozO}Vyr;BI%o*<-m-Wi=a3olZb&i)WUt+97b(kiH(i-P1r8dsj zmG__B^XBnF%9++W$HRnDiq;^NMDJi#XZ91uSRStzj8;tZ%yr$EripdiQL1xyJo4~( zVV(j;D{8H5G1FSZDA;0RU9VWJQFL;xP%^bN_EJDYD~(hu=f?|E2+%t*?a&%im_Sux z?gVE@xlmi9wT?HIX$~k2r@QCql6ly7tTEJ5>9r7+g_sLRXXyaWb9Y?W_ni_GfAS}P 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ztA?75!T89_HSqcC8>1drJJE({on6tYiQ!NZqxUSc!+Vc)YS6BAV1uV`JCF6y@I@EK zsEjeV-xg|9ik)|clq-2uj1hXt7z{qn^f8oRu*^yVX`L7*f-&S$d3(HJym9$jUq~W6pAQ7fyj(B>r4&711+7gt0<=o1`k0n^BBjh|gD`o> ziIxXNs?O;l&=4em5jCeDN8;nli_Sd^K7IVa+vCCi`G5V>+y4vRc#*)0(|D`^0000< KMNUMnLSTYlO7XA& literal 0 HcmV?d00001 From 71fd9deb5e975aca26c0501d79a3f2586a30340a Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Fri, 26 Jun 2026 16:43:58 -0700 Subject: [PATCH 05/10] Minor updates to address PR comments --- .../2.0/Khronos/KHR_materials_scatter/README.md | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 360d4c3d69..dc62804178 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -38,7 +38,7 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined - [Thin-Walled Mode](#thin-walled-mode) - [Volumetric Mode](#volumetric-mode) - [Scattering Parameters](#scattering-parameters) - - [Scatter Factor](#scatter-factor) + - [Scatter Strength](#scatter-strength) - [Multi-Scatter Color](#multi-scatter-color) - [Scatter Anisotropy](#scatter-anisotropy) - [Material Structure Updates](#material-structure-updates) @@ -131,7 +131,7 @@ The mode is determined by the presence and configuration of `KHR_materials_volum A material is in thin-walled mode when `KHR_materials_volume` is absent, or when `KHR_materials_volume` is present with `thicknessFactor = 0`. In this mode, `KHR_materials_scatter` modifies the surface BSDF: - `scatterStrength` linearly interpolates between the specular BTDF (at 0) and a diffuse scatter BSDF (at 1). The BTDF uses the `baseColor` as the multiplier and the BSDF uses `multiscatterColor`. -- `multiscatterColor` is the color of the fully-scattered lobe, analogous to `diffuseTransmissionColor` in `KHR_materials_diffuse_transmission`. +- `multiscatterColor` is the color of the fully-scattered lobe. - `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with albedo defined by `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. This mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. @@ -140,20 +140,20 @@ This mode is appropriate for thin objects with dense internal structure, such as A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: -- `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black and there is no scattering (the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. +- `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black so there is no scattering (i.e. the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. - `multiscatterColor` defines the multi-scatter albedo, representing the perceived color of the scattering medium after many internal bounces. -- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. The Henyey-Greenstein phase function is the standard model for anisotropic volumetric scattering in production renderers, parameterized by a single asymmetry parameter. +- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. The Henyey-Greenstein phase function is the standard model for anisotropic volumetric scattering in production renderers, parameterized by a single asymmetry parameter between -1 and 1. -This mode is appropriate for optically thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. +This mode is appropriate for thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. ## Scattering Parameters -### Scatter Factor +### Scatter Strength -`scatterStrengthFactor` is the primary on/off and blending control for the extension. Its evaluation is the same in both modes: +`scatterStrength` is the primary on/off and blending control for the extension. Its evaluation is the same in both modes: ``` -scatter = scatterStrengthFactor * scatterStrengthTexture.a +scatterStrength = scatterStrengthFactor * scatterStrengthTexture.a ``` When no `scatterStrengthTexture` is provided, `scatterStrength = scatterStrengthFactor`. The alpha channel is used so that `scatterStrengthTexture` can share a texture object with `multiscatterColorTexture`, packing the scatter strength into the unused alpha channel of the RGB scatter color. The resulting `scatterStrength` value drives the interpolation described in each mode's [Material Structure Updates](#material-structure-updates) section below. At `scatterStrength = 0` the material behaves exactly as if `KHR_materials_scatter` were not present. At `scatterStrength = 1` the full scattering effect is applied. From 698f5e86d059bbabe203ed7e3a1ba3c1e971591b Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Mon, 29 Jun 2026 10:58:06 -0700 Subject: [PATCH 06/10] WIP changes --- extensions/2.0/Khronos/KHR_materials_scatter/README.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index dc62804178..6721f80d8a 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -56,7 +56,7 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined Light that enters a material can be scattered before it exits, producing effects from the bright subsurface glow of skin and wax to the hazy translucency of frosted glass. The character of this scattering depends on whether the object is modeled as a thin surface or as a solid volume. `KHR_materials_scatter` is a unified scattering extension that works in both contexts. -When applied to a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a linear interpolation between a diffuse transmission lobe and diffuse reflection lobe based on scatter anisotropy. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`. +When used with a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a linear interpolation between a diffuse transmission lobe and diffuse reflection lobe based on scatter anisotropy. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`.

      @@ -134,7 +134,7 @@ A material is in thin-walled mode when `KHR_materials_volume` is absent, or when - `multiscatterColor` is the color of the fully-scattered lobe. - `scatterAnisotropy` controls the directional split of scattered light between the two hemispheres. At `+1`, all scattered light is transmitted forward (pure diffuse BTDF). At `-1`, all scattered light is reflected back (pure diffuse BRDF), making the surface appear opaque and Lambertian with albedo defined by `multiscatterColor`. At `0`, scattered light is split equally between reflection and transmission. -This mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. +The thin-walled mode is appropriate for thin objects with dense internal structure, such as leaves, fabric, paper, wax sheets, or frosted glass panels. ### Volumetric Mode @@ -142,9 +142,9 @@ A material is in volumetric mode when `KHR_materials_volume` is present with `th - `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black so there is no scattering (i.e. the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. - `multiscatterColor` defines the multi-scatter albedo, representing the perceived color of the scattering medium after many internal bounces. -- `scatterAnisotropy` controls the Henyey-Greenstein phase function for individual scattering events. The Henyey-Greenstein phase function is the standard model for anisotropic volumetric scattering in production renderers, parameterized by a single asymmetry parameter between -1 and 1. +- `scatterAnisotropy` controls the single-parameter phase function for individual scattering events. At `-1`, all scattering events are backscattering and, at `+1`, all events are forward scattering. -This mode is appropriate for thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. +The volumetric mode is appropriate for thick objects with participating media, such as wax candles, skin, milk, or colored glass with subsurface color. ## Scattering Parameters @@ -274,7 +274,7 @@ function scatter_bsdf(color, g) { } ``` -At `g = +1`, `scatter_bsdf` is a pure Lambertian BTDF. At `g = -1`, it is a pure Lambertian BRDF, making the surface opaque with diffuse color `scatterColor`. At `g = 0`, energy is split equally between the two hemispheres. +At `g = +1`, `scatter_bsdf` is a pure Lambertian BTDF. At `g = -1`, it is a pure Lambertian BRDF, making the surface opaque with diffuse color `multiscatterColor`. At `g = 0`, energy is split equally between the two hemispheres. At `scatterStrength = 0`, the inner `mix` collapses to `specular_btdf * baseColor`, recovering plain `KHR_materials_transmission` behaviour. At `scatterStrength = 1`, only `scatter_bsdf(multiscatterColor, g)` remains. The amount of transmission is still gated by `transmissionFactor` from `KHR_materials_transmission`. From 620c5164f1ba87b894362b280cd89c27ab85fcd1 Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Thu, 2 Jul 2026 20:15:57 -0400 Subject: [PATCH 07/10] Updates --- .../Khronos/KHR_materials_scatter/README.md | 33 ++++++++++++------- 1 file changed, 22 insertions(+), 11 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 6721f80d8a..037212b23a 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -56,7 +56,7 @@ Written against the glTF 2.0 spec. This extension has no effect unless combined Light that enters a material can be scattered before it exits, producing effects from the bright subsurface glow of skin and wax to the hazy translucency of frosted glass. The character of this scattering depends on whether the object is modeled as a thin surface or as a solid volume. `KHR_materials_scatter` is a unified scattering extension that works in both contexts. -When used with a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a linear interpolation between a diffuse transmission lobe and diffuse reflection lobe based on scatter anisotropy. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`. +When used with a thin-walled material (no `KHR_materials_volume`, or `thicknessFactor = 0`), it converts the specular transmission lobe defined by `KHR_materials_transmission` into a linear interpolation between a diffuse transmission lobe and diffuse reflection lobe based on scatter anisotropy. When applied to a volumetric material (`KHR_materials_volume` with `thicknessFactor > 0`), it adds volumetric scattering to the medium, augmenting the pure-absorption model of `KHR_materials_volume`. This scattering can be adjusted to be more forward or backward scattering using the anisotropy parameter. In all contexts, the `scatterStrength` parameter controls the amount of scattering.
      @@ -140,7 +140,7 @@ The thin-walled mode is appropriate for thin objects with dense internal structu A material is in volumetric mode when `KHR_materials_volume` is present with `thicknessFactor > 0`. In this mode, `KHR_materials_scatter` adds volumetric scattering to the interior of the medium: -- `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black so there is no scattering (i.e. the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. +- `scatterStrength` effectively scales the multi-scatter albedo. At 0, the multi-scatter albedo becomes black so there is no scattering (i.e. the medium is purely absorbing, as in `KHR_materials_volume` alone); at 1, the full `multiscatterColor` albedo is used to split attenuation between absorption and scattering. See below for more details. - `multiscatterColor` defines the multi-scatter albedo, representing the perceived color of the scattering medium after many internal bounces. - `scatterAnisotropy` controls the single-parameter phase function for individual scattering events. At `-1`, all scattering events are backscattering and, at `+1`, all events are forward scattering. @@ -171,12 +171,15 @@ However, the behaviour differs between the two modes: **Volumetric mode:** `multiscatterColor` is the multi-scatter albedo $\rho_{ms}$ as defined by [Kulla and Conty (2017)](#KullaConty2017). It is a more intuitive parameterization of the scattering albedo because it corresponds to the perceived color of the medium after many bounces, rather than the single-scatter albedo that directly parameterizes the scattering coefficient. -The single-scatter albedo $\rho_{ss}$ is derived from the multi-scatter albedo $\rho_{ms}$ as: +The single-scatter albedo $\rho_{ss}$ is derived from the multi-scatter albedo $\rho_{ms}$ and the anisotropy $g$ as: $$ -\rho_{ss} = 1 - \left(4.09712 + 4.20863\,\rho_{ms} - \sqrt{9.59217 + 41.6808\,\rho_{ms} + 17.7126\,\rho_{ms}^2}\right)^2 +s = 4.09712 + 4.20863\,\rho_{ms} - \sqrt{9.59217 + 41.6808\,\rho_{ms} + 17.7126\,\rho_{ms}^2} +\\ +\rho_{ss} = \frac{1 - s^2}{\left(1.0 - g * s * s\right)} $$ +The single-scatter albedo defines the fraction of the attenuation coefficient that goes to scattering versus absorption. Given the attenuation coefficient $\sigma_t = -\log(c)/d$ from `KHR_materials_volume`, the scattering and absorption coefficients are: $$ @@ -195,13 +198,7 @@ $$ **Thin-walled mode:** `scatterAnisotropy` controls how scattered light is split between the reflected and transmitted hemispheres. At `+1`, all scattered energy exits through the transmission hemisphere (pure diffuse BTDF — tissue paper, thin wax). At `-1`, all scattered energy exits through the reflection hemisphere (pure diffuse BRDF — the surface appears opaque and Lambertian with `multiscatterColor`). At `0`, energy is split equally between the two hemispheres. -**Volumetric mode:** `scatterAnisotropy` controls the Henyey-Greenstein phase function $p(\mathbf{v}, \mathbf{l}; g)$, which determines the probability density of outgoing directions $\mathbf{l}$ given an incident direction $\mathbf{v}$ at each volumetric scattering event: - -$$ -p(\mathbf{v},\mathbf{l}; g) = \frac{1}{4\pi} \frac{1-g^2}{\left(1 + g^2 + 2g(\mathbf{v} \cdot \mathbf{l})\right)^{3/2}} -$$ - -The parameter $g$ maps directly to `scatterAnisotropy`. $g = 0$ gives isotropic scattering; $g > 0$ gives forward scattering (light continues in roughly the same direction); $g < 0$ gives backward scattering. +**Volumetric mode:** `scatterAnisotropy` controls the single-parameter phase function which determines the probability that light is scattered forward or backwards.`scatterAnisotropy = 0` gives isotropic scattering; `scatterAnisotropy > 0` gives forward scattering (light continues in roughly the same direction); `scatterAnisotropy < 0` gives backward scattering. @@ -324,6 +321,20 @@ For renderers that do not support full volumetric path tracing, it is acceptable When `KHR_materials_ior` is present, it sets the IOR for Fresnel calculations at the surface boundary. This applies regardless of scatter mode. In volumetric mode, the IOR also governs refraction of transmitted rays per the definitions in `KHR_materials_volume`. +## Implementation + +**This section is non-normative** + +### Anisotropic Phase Function +A very common single-channel phase function in wide use is the Henyey-Greenstein phase function, $p(\mathbf{v}, \mathbf{l}; g)$, which determines the probability density of outgoing directions $\mathbf{l}$ given an incident direction $\mathbf{v}$ at each volumetric scattering event: + +$$ +p(\mathbf{v},\mathbf{l}; g) = \frac{1}{4\pi} \frac{1-g^2}{\left(1 + g^2 + 2g(\mathbf{v} \cdot \mathbf{l})\right)^{3/2}} +$$ + +The parameter $g$ maps directly to `scatterAnisotropy`where $g = 0$ gives isotropic scattering; $g > 0$ gives forward scattering (light continues in roughly the same direction); $g < 0$ gives backward scattering. + + ## Schema - [material.KHR_materials_scatter.schema.json](schema/material.KHR_materials_scatter.schema.json) From 0addbb0a7ab5e9fdb6707245ad70558fadf47205 Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Thu, 2 Jul 2026 20:28:50 -0400 Subject: [PATCH 08/10] Updates --- extensions/2.0/Khronos/KHR_materials_scatter/README.md | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 037212b23a..3c63e872d9 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -291,13 +291,15 @@ $$ \sigma_t = \sigma_a + \sigma_s, \qquad \sigma_s = \sigma_t\,\rho_{ss}(\rho_{ms}^*) $$ -where the effective multi-scatter albedo $\rho_{ms}^*$ is scaled by `scatter`: +where the effective multi-scatter albedo $\rho_{ms}^*$ is scaled by `scatterStrength`: $$ -\rho_{ms}^* = \mathtt{scatter} \times \rho_{ms}, \qquad \mathtt{scatter} = \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} +\rho_{ms}^* = \mathtt{scatterStrength} \times \rho_{ms}, \qquad +\\ +\mathtt{scatterStrength} = \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} $$ -$\rho_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho_{ss}$ is derived from $\rho_{ms}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho_{ms}^* = 0$ and therefore $\rho_{ss} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_t$ now accounts for both absorption and scattering, not absorption alone. +$\rho\\_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho\\_{ss}$ is derived from $\rho\\_{ms}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho\\_{ms}^* = 0$ and therefore $\rho\\_{ss} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma\\_t$ now accounts for both absorption and scattering, not absorption alone. ## Interaction with Other Extensions @@ -315,7 +317,7 @@ $\rho_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTex - When absent (or `thicknessFactor = 0`): thin-walled mode. - When present with `thicknessFactor > 0`: volumetric mode. -For renderers that do not support full volumetric path tracing, it is acceptable to approximate volumetric mode using thin-walled mode behavior. In particular, for materials with very short scattering distances relative to their size (dense subsurface), the visual difference is small and the thin-walled diffuse approximation is efficient and widely applicable. Ray-tracers should use the actual geometry to compute path lengths through the volume rather than relying on `thicknessFactor`. +For renderers that do not support full volumetric rendering, it is acceptable to approximate volumetric mode using thin-walled mode behavior. In particular, for materials with very short scattering distances relative to their size (dense subsurface), the visual difference is small and the thin-walled diffuse approximation is efficient and widely applicable. Ray-tracers should use the actual geometry to compute path lengths through the volume rather than relying on `thicknessFactor`. ### KHR\_materials\_ior From b7d80d7a1447a9f389bede505b961fc809e10f59 Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Thu, 2 Jul 2026 20:38:39 -0400 Subject: [PATCH 09/10] Updates --- extensions/2.0/Khronos/KHR_materials_scatter/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 3c63e872d9..70b48f0698 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -299,7 +299,7 @@ $$ \mathtt{scatterStrength} = \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} $$ -$\rho\\_{ms}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho\\_{ss}$ is derived from $\rho\\_{ms}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho\\_{ms}^* = 0$ and therefore $\rho\\_{ss} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma\\_t$ now accounts for both absorption and scattering, not absorption alone. +$\rho_{\text{ms}}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $`\rho_{\text{ss}}`$ is derived from $\rho_{\text{ms}}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho_{\text{ms}}^* = 0$ and therefore $\rho_{\text{ss}} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_{\text{t}}$ now accounts for both absorption and scattering, not absorption alone. ## Interaction with Other Extensions From 47d612d29754d2b7c02bcdd84064ab0a02b9487b Mon Sep 17 00:00:00 2001 From: Michael Bond Date: Thu, 2 Jul 2026 20:53:54 -0400 Subject: [PATCH 10/10] Updates --- .../Khronos/KHR_materials_scatter/README.md | 26 ++++++++++++------- 1 file changed, 16 insertions(+), 10 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_scatter/README.md b/extensions/2.0/Khronos/KHR_materials_scatter/README.md index 70b48f0698..7e2b9e36bc 100644 --- a/extensions/2.0/Khronos/KHR_materials_scatter/README.md +++ b/extensions/2.0/Khronos/KHR_materials_scatter/README.md @@ -174,16 +174,18 @@ However, the behaviour differs between the two modes: The single-scatter albedo $\rho_{ss}$ is derived from the multi-scatter albedo $\rho_{ms}$ and the anisotropy $g$ as: $$ -s = 4.09712 + 4.20863\,\rho_{ms} - \sqrt{9.59217 + 41.6808\,\rho_{ms} + 17.7126\,\rho_{ms}^2} -\\ -\rho_{ss} = \frac{1 - s^2}{\left(1.0 - g * s * s\right)} +\begin{aligned} +s &= 4.09712 + 4.20863\,\rho_{ms} - \sqrt{9.59217 + 41.6808\,\rho_{ms} + 17.7126\,\rho_{ms}^2} +\\\\ +\rho_{ss} &= \frac{1 - s^2}{\left(1.0 - g * s * s\right)} +\end{aligned} $$ The single-scatter albedo defines the fraction of the attenuation coefficient that goes to scattering versus absorption. Given the attenuation coefficient $\sigma_t = -\log(c)/d$ from `KHR_materials_volume`, the scattering and absorption coefficients are: $$ -\sigma_s = \sigma_t\,\rho_{ss}, \qquad \sigma_a = \sigma_t\,(1 - \rho_{ss}) +\sigma_s = \sigma_t\,\rho_{ss}, \\\\ \qquad \sigma_a = \sigma_t\,(1 - \rho_{ss}) $$ > [!NOTE] @@ -282,24 +284,28 @@ In volumetric mode, `KHR_materials_scatter` does not modify the surface BSDF. Th With `KHR_materials_volume` alone: $$ -\sigma_t = \sigma_a, \qquad \sigma_s = 0 +\begin{aligned} +\sigma_t &= \sigma_a, \\\\ \qquad \sigma_s &= 0 +\end{aligned} $$ With `KHR_materials_scatter` added: $$ -\sigma_t = \sigma_a + \sigma_s, \qquad \sigma_s = \sigma_t\,\rho_{ss}(\rho_{ms}^*) +\begin{aligned} +\sigma_t &= \sigma_a + \sigma_s, \\\\ \qquad \sigma_s &= \sigma_t\,\rho_{ss}(\rho_{ms}^*) +\end{aligned} $$ where the effective multi-scatter albedo $\rho_{ms}^*$ is scaled by `scatterStrength`: $$ -\rho_{ms}^* = \mathtt{scatterStrength} \times \rho_{ms}, \qquad -\\ -\mathtt{scatterStrength} = \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} +\begin{aligned} +\rho_{ms}^* &= \mathtt{scatterStrength} \times \rho_{ms}, \qquad \\\\ \mathtt{scatterStrength} &= \mathtt{scatterStrengthFactor} \times \mathtt{scatterStrengthTexture.a} +\end{aligned} $$ -$\rho_{\text{ms}}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $`\rho_{\text{ss}}`$ is derived from $\rho_{\text{ms}}^*$ via the Kulla-Conty mapping. At `scatter = 0`, $\rho_{\text{ms}}^* = 0$ and therefore $\rho_{\text{ss}} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_{\text{t}}$ now accounts for both absorption and scattering, not absorption alone. +$\rho_{\text{ms}}$ is derived from `multiscatterColorFactor` (and `multiscatterColorTexture`) as described in [Multi-Scatter Color](#multi-scatter-color) above, and $\rho_{\text{ss}}$ is derived from $\rho_{\text{ms}}^*$ via the Kulla-Conty mapping. At `scatterStrength = 0`, $\rho_{\text{ms}}^* = 0$ and therefore $\rho_{\text{ss}} = 0$, giving a purely absorbing medium identical to `KHR_materials_volume` alone. $\sigma_{\text{t}}$ now accounts for both absorption and scattering, not absorption alone. ## Interaction with Other Extensions

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