From 3065257e22bd6a9f917215fb4669ce8fe6ac03ba Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Sun, 22 Oct 2023 14:46:59 -0400 Subject: [PATCH 01/27] draft of EXT_materials_dispersion --- .../Vendor/EXT_materials_dispersion/README.md | 121 ++++++++++++++++++ ...erial.KHR_materials_dispersion.schema.json | 19 +++ 2 files changed, 140 insertions(+) create mode 100644 extensions/2.0/Vendor/EXT_materials_dispersion/README.md create mode 100644 extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json diff --git a/extensions/2.0/Vendor/EXT_materials_dispersion/README.md b/extensions/2.0/Vendor/EXT_materials_dispersion/README.md new file mode 100644 index 0000000000..086fa09473 --- /dev/null +++ b/extensions/2.0/Vendor/EXT_materials_dispersion/README.md @@ -0,0 +1,121 @@ +# EXT\_materials\_disperson + +## Contributors + +- Ben Houston, Threekit [@bhouston](https://github.com/bhouston) + +Copyright 2023 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. + +## 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`. + +## Overview + +This extension adds one parameters to the metallic-roughness material: `dispersion`. + +`disperson` allows users to configure the strength of the dispersion effect in terms of its Abby number. The dispersion effect is a result of the wavelength-dependent index of refraction of a material. It is also known as chromatic aberration. + +## Extending Materials + +The dispersion, defined in terms of Abby number, is defined by adding the `KHR_materials_dispersion` extension to any glTF material. + +```json +{ + "materials": [ + { + "extensions": { + "EXT_materials_dispersion": { + "dispersion": 42 + } + } + } + ] +} +``` + +Factor and texture are combined by multiplication to describe a single value. + +| |Type|Description|Required| +|-|----|-----------|--------| +| **dispersion** | `number` | The strength of the dispersion effect, specified as an Abby number. | No, default: `59`| + +The default value of 59 is taken from the low dispersion of crown glass. + +## Implementation + +*This section is non-normative.* + +*TODO* + +## Interaction with other extensions + +*TODO* + + +## Schema + +- [material.KHR_materials_dispersion.schema.json](schema/material.KHR_materials_dispersion.schema.json) + +## Appendix: Full Khronos Copyright Statement + +Copyright 2023 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. Parties desiring to +implement the specification and make use of Khronos trademarks in relation to that +implementation, and receive reciprocal patent license protection under the Khronos +IP Policy must become Adopters and confirm the implementation as conformant under +the process defined by Khronos for this specification; +see https://www.khronos.org/adopters. + +Khronos makes no, and expressly disclaims any, representations or warranties, +express or implied, regarding this specification, including, without limitation: +merchantability, fitness for a particular purpose, non-infringement of any +intellectual property, correctness, accuracy, completeness, timeliness, and +reliability. 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. All other product names, trademarks, +and/or company names are used solely for identification and belong to their +respective owners. diff --git a/extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json b/extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json new file mode 100644 index 0000000000..9819c07da1 --- /dev/null +++ b/extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json @@ -0,0 +1,19 @@ +{ + "$schema": "http://json-schema.org/draft-04/schema", + "title": "KHR_materials_dispersion glTF Material Extension", + "type": "object", + "description": "glTF extension that defines the strength of dispersion.", + "allOf": [ { "$ref": "glTFProperty.schema.json" } ], + "properties": { + "dispersion": { + "type": "number", + "description": "The strength of the dispersion.", + "default": 59.0, + "minimum": 1.0, + "maximum": 1000.0, + "gltf_detailedDescription": "This parameter defines dispersion in terms of the Abby number formulation." + }, + "extensions": { }, + "extras": { } + } +} From 23b436ce49ebb34db45b3ce7a44b1c8f5ee34094 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:14:13 -0400 Subject: [PATCH 02/27] incorporating feedback --- .../KHR_materials_dispersion}/README.md | 58 +++++++++++++++--- .../figures/Dispersion.jpg | Bin 0 -> 76502 bytes ...erial.KHR_materials_dispersion.schema.json | 0 3 files changed, 49 insertions(+), 9 deletions(-) rename extensions/2.0/{Vendor/EXT_materials_dispersion => Khronos/KHR_materials_dispersion}/README.md (63%) create mode 100644 extensions/2.0/Khronos/KHR_materials_dispersion/figures/Dispersion.jpg rename extensions/2.0/{Vendor/EXT_materials_dispersion => Khronos/KHR_materials_dispersion}/schema/material.KHR_materials_dispersion.schema.json (100%) diff --git a/extensions/2.0/Vendor/EXT_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md similarity index 63% rename from extensions/2.0/Vendor/EXT_materials_dispersion/README.md rename to extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 086fa09473..3ba62376a9 100644 --- a/extensions/2.0/Vendor/EXT_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -1,4 +1,4 @@ -# EXT\_materials\_disperson +# KHR\_materials\_disperson ## Contributors @@ -24,19 +24,39 @@ Written against the glTF 2.0 spec. This extension adds one parameters to the metallic-roughness material: `dispersion`. -`disperson` allows users to configure the strength of the dispersion effect in terms of its Abby number. The dispersion effect is a result of the wavelength-dependent index of refraction of a material. It is also known as chromatic aberration. +`dispersion` allows users to configure the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. Dispersion is represented in terms of the Abbe number parameterization. The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. + +The Abbe number \( V \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, Ns), 587.6 nm (central yellow, Nc), and 656.3 nm (long wavelength red, Nl). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: + +\[ +V = \frac{N_c - 1}{N_l - N_s} +\] + +To calculate the index of refraction at a specific wavelength \( \lambda \), given an Abbe number \( V \) and the central index of refraction (assumed to be at the color blue, \( N_d \), as specified by the KHR_materials_ior extension): + +\[ +B = \frac{N_c - 1}{V \times \left( \frac{1}{\lambda_s} - \frac{1}{\lambda_l} \right)} +\] +\[ +A = N_c - \frac{B}{\lambda_c} +\] +\[ +N(\lambda) = A + \frac{B}{\lambda^2} +\] + +![Dispersion on a Gem](./figures/Dispersion.jpg) ## Extending Materials -The dispersion, defined in terms of Abby number, is defined by adding the `KHR_materials_dispersion` extension to any glTF material. +The dispersion, defined in terms of Abbe number, is defined by adding the `KHR_materials_dispersion` extension to any glTF material. ```json { "materials": [ { "extensions": { - "EXT_materials_dispersion": { - "dispersion": 42 + "KHR_materials_dispersion": { + "dispersion": 55 } } } @@ -48,25 +68,45 @@ Factor and texture are combined by multiplication to describe a single value. | |Type|Description|Required| |-|----|-----------|--------| -| **dispersion** | `number` | The strength of the dispersion effect, specified as an Abby number. | No, default: `59`| +| **dispersion** | `number` | The strength of the dispersion effect, specified as an Abbe number. | No, default: `0`| + +The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value other than zero is considered to be a valid dispersion value. + +Here is a table of common material dispersion Abbe numbers: -The default value of 59 is taken from the low dispersion of crown glass. +| Material | Abbe Number | +| -------- | ----------- | +| Polycarbonate | 32 | +| Diamond | 55 | +| Water | 55 | +| Crown Glass | 59 | ## Implementation *This section is non-normative.* -*TODO* +One real-time method for rendering dispersion effects is to trace volume transmission separately for each of color channel accounting for the per channel ior as determined by the Abbe number. The resulting composite image will show color separation between the channels as a result. ## Interaction with other extensions -*TODO* ## Schema - [material.KHR_materials_dispersion.schema.json](schema/material.KHR_materials_dispersion.schema.json) +## Reference + +### Theory, Documentation and Implementations + +[Abbe Number - Wikipedia](https://en.wikipedia.org/wiki/Abbe_number) + +[Abbe Number - Wolfram Formula Repository](https://resources.wolframcloud.com/FormulaRepository/resources/Abbe-Number#:~:text=The%20Abbe%20number%2C%20also%20known,of%20V%20indicating%20low%20dispersion.) + +[OpenPBR Surface specification](https://academysoftwarefoundation.github.io/OpenPBR/) + +[Enterprise PBR Shading Model](https://dassaultsystemes-technology.github.io/EnterprisePBRShadingModel/spec-2022x.md.html) + ## Appendix: Full Khronos Copyright Statement Copyright 2023 The Khronos Group Inc. diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/figures/Dispersion.jpg 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zLF1rmeo#P@7kF&q9|3*ZklKLte~(CXa%)RYXmBA8`M;X{D<~LXzcx?YMdJdFtCzex z;9!C6&p8MGqoRtGFx$T$Zuw^gZ*3j{L+5&*i*{ab-|HyVvSsw_H(6Ep09G@LJ~^X#&4o+1aH(cV!c3hm%S~TY^B%{gi%sm<)8rjNF6~Xu}8!I E10`}SDF6Tf literal 0 HcmV?d00001 diff --git a/extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json similarity index 100% rename from extensions/2.0/Vendor/EXT_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json rename to extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json From ecd02f0c5e28a46fd2d3702e1117448e1379cad0 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:17:55 -0400 Subject: [PATCH 03/27] use inline latex --- .../KHR_materials_dispersion/README.md | 24 +++++++++---------- 1 file changed, 11 insertions(+), 13 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 3ba62376a9..3b0d19e015 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -24,25 +24,23 @@ Written against the glTF 2.0 spec. This extension adds one parameters to the metallic-roughness material: `dispersion`. -`dispersion` allows users to configure the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. Dispersion is represented in terms of the Abbe number parameterization. The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. +`dispersion` allows users to configure the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. Dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. -The Abbe number \( V \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, Ns), 587.6 nm (central yellow, Nc), and 656.3 nm (long wavelength red, Nl). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: +The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $N_s$), 587.6 nm (central yellow, $N_c$), and 656.3 nm (long wavelength red, $N_l$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: -\[ -V = \frac{N_c - 1}{N_l - N_s} -\] +$$V = \frac{N_c - 1}{N_l - N_s}$$ -To calculate the index of refraction at a specific wavelength \( \lambda \), given an Abbe number \( V \) and the central index of refraction (assumed to be at the color blue, \( N_d \), as specified by the KHR_materials_ior extension): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction (assumed to be at the color blue, \( $N_d$ \), as specified by the KHR_materials_ior extension): -\[ +$$ B = \frac{N_c - 1}{V \times \left( \frac{1}{\lambda_s} - \frac{1}{\lambda_l} \right)} -\] -\[ +$$ +$$ A = N_c - \frac{B}{\lambda_c} -\] -\[ +$$ +$$ N(\lambda) = A + \frac{B}{\lambda^2} -\] +$$ ![Dispersion on a Gem](./figures/Dispersion.jpg) @@ -74,7 +72,7 @@ The default value of 0 has a special meaning in that no dispersion should be use Here is a table of common material dispersion Abbe numbers: -| Material | Abbe Number | +| Material | Abbe Number (V) | | -------- | ----------- | | Polycarbonate | 32 | | Diamond | 55 | From 115ae7b7c2418ae26f4950ee51e7fd0adfe7940d Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:18:58 -0400 Subject: [PATCH 04/27] fix typo --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 3b0d19e015..c5e8dc8277 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -1,4 +1,4 @@ -# KHR\_materials\_disperson +# KHR\_materials\_dispersion ## Contributors From a6fbf9cdb1e8de491caab532ff2ac0a298e73746 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:20:17 -0400 Subject: [PATCH 05/27] specify defaults and range in extension. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- .../schema/material.KHR_materials_dispersion.schema.json | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index c5e8dc8277..6a285bc542 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -68,7 +68,7 @@ Factor and texture are combined by multiplication to describe a single value. |-|----|-----------|--------| | **dispersion** | `number` | The strength of the dispersion effect, specified as an Abbe number. | No, default: `0`| -The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value other than zero is considered to be a valid dispersion value. +The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value in the valid range [0, 1000] other than zero is considered to be a valid dispersion value. Here is a table of common material dispersion Abbe numbers: diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json index 9819c07da1..658585ca62 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json @@ -8,7 +8,7 @@ "dispersion": { "type": "number", "description": "The strength of the dispersion.", - "default": 59.0, + "default": 0.0, "minimum": 1.0, "maximum": 1000.0, "gltf_detailedDescription": "This parameter defines dispersion in terms of the Abby number formulation." From 6e275359e9d72bccee244bc1237fc1cbf722d160 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:23:09 -0400 Subject: [PATCH 06/27] make clear that it is an enhancement on top of KHR_materials_dispersion --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 6a285bc542..6418022022 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -13,7 +13,8 @@ Draft ## Dependencies -Written against the glTF 2.0 spec. +- Written against the glTF 2.0 spec. +- The `KHR_materials_volume` extension as it builds upon its volumetric effect. ## Exclusions @@ -24,7 +25,9 @@ Written against the glTF 2.0 spec. This extension adds one parameters to the metallic-roughness material: `dispersion`. -`dispersion` allows users to configure the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. Dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. +`dispersion` enables configuring the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. It is an enhancement to the default KHR_materials_volume transmission model which assumes no dispersion. + +Dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $N_s$), 587.6 nm (central yellow, $N_c$), and 656.3 nm (long wavelength red, $N_l$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: From d00043aa7a6472084ad6c5eb1aac81c6f667cbcd Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:26:04 -0400 Subject: [PATCH 07/27] make clear the names used in other material models. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 6418022022..5036f157e6 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -27,7 +27,7 @@ This extension adds one parameters to the metallic-roughness material: `dispersi `dispersion` enables configuring the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. It is an enhancement to the default KHR_materials_volume transmission model which assumes no dispersion. -Dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR and the Dassault Enterprise PBR Shading Model. +Optical dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $N_s$), 587.6 nm (central yellow, $N_c$), and 656.3 nm (long wavelength red, $N_l$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: @@ -88,10 +88,6 @@ Here is a table of common material dispersion Abbe numbers: One real-time method for rendering dispersion effects is to trace volume transmission separately for each of color channel accounting for the per channel ior as determined by the Abbe number. The resulting composite image will show color separation between the channels as a result. -## Interaction with other extensions - - - ## Schema - [material.KHR_materials_dispersion.schema.json](schema/material.KHR_materials_dispersion.schema.json) From 87bd64a7f5e23c84b6aef2e6082069583ed0ddb4 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 23 Oct 2023 15:31:24 -0400 Subject: [PATCH 08/27] add references from OpenPBR. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 5036f157e6..a7e4c3d2fc 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -77,6 +77,7 @@ Here is a table of common material dispersion Abbe numbers: | Material | Abbe Number (V) | | -------- | ----------- | +| Rutile | 9.8 | | Polycarbonate | 32 | | Diamond | 55 | | Water | 55 | @@ -104,6 +105,11 @@ One real-time method for rendering dispersion effects is to trace volume transmi [Enterprise PBR Shading Model](https://dassaultsystemes-technology.github.io/EnterprisePBRShadingModel/spec-2022x.md.html) +[Mikhail N. Polyanskiy. Refractive Index Database (2023)](https://refractiveindex.info) + +[SCHOTT. Interactive Abbe Diagram (2023)](https://www.schott.com/en-gb/special-selection-tools/interactive-abbe-diagram) + + ## Appendix: Full Khronos Copyright Statement Copyright 2023 The Khronos Group Inc. From 84365aa1a8d819261ef35583c6a63097b6f888cb Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:11:06 -0500 Subject: [PATCH 09/27] change to storing 20/V --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index a7e4c3d2fc..fe85cca167 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -47,6 +47,8 @@ $$ ![Dispersion on a Gem](./figures/Dispersion.jpg) +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store 20/V so that a value of 1.0 is equivalent to V=20, which is about the lowest Adde number for real materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. + ## Extending Materials The dispersion, defined in terms of Abbe number, is defined by adding the `KHR_materials_dispersion` extension to any glTF material. @@ -57,7 +59,7 @@ The dispersion, defined in terms of Abbe number, is defined by adding the `KHR_m { "extensions": { "KHR_materials_dispersion": { - "dispersion": 55 + "dispersion": 0.1 } } } @@ -69,9 +71,9 @@ Factor and texture are combined by multiplication to describe a single value. | |Type|Description|Required| |-|----|-----------|--------| -| **dispersion** | `number` | The strength of the dispersion effect, specified as an Abbe number. | No, default: `0`| +| **dispersion** | `number` | The strength of the dispersion effect, specified as 20/Abbe number. | No, default: `0`| -The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value in the valid range [0, 1000] other than zero is considered to be a valid dispersion value. +The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value in the valid range [0, 100] other than zero is considered to be a valid dispersion value, although the range between [0 , 1] is the range of realistic values. Here is a table of common material dispersion Abbe numbers: From f1ad0bdcf045835a685166b45fdc85f249028e50 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:32:59 -0500 Subject: [PATCH 10/27] improve equations --- .../2.0/Khronos/KHR_materials_dispersion/README.md | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index fe85cca167..c278af0bbe 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -29,25 +29,25 @@ This extension adds one parameters to the metallic-roughness material: `dispersi Optical dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). -The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $N_s$), 587.6 nm (central yellow, $N_c$), and 656.3 nm (long wavelength red, $N_l$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: +The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: -$$V = \frac{N_c - 1}{N_l - N_s}$$ +$$V = \frac{n_d - 1}{n_F - n_C}$$ To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction (assumed to be at the color blue, \( $N_d$ \), as specified by the KHR_materials_ior extension): $$ -B = \frac{N_c - 1}{V \times \left( \frac{1}{\lambda_s} - \frac{1}{\lambda_l} \right)} +B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} $$ $$ -A = N_c - \frac{B}{\lambda_c} +A = n_d - \frac{B}{\lambda_d^2} $$ $$ -N(\lambda) = A + \frac{B}{\lambda^2} +n(\lambda) = A + \frac{B}{\lambda^2} $$ ![Dispersion on a Gem](./figures/Dispersion.jpg) -In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store 20/V so that a value of 1.0 is equivalent to V=20, which is about the lowest Adde number for real materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Adde number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials @@ -75,7 +75,7 @@ Factor and texture are combined by multiplication to describe a single value. The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value in the valid range [0, 100] other than zero is considered to be a valid dispersion value, although the range between [0 , 1] is the range of realistic values. -Here is a table of common material dispersion Abbe numbers: +Here is a table of some material dispersion Abbe numbers, including the outlier of Rutile which is a very high dispersion material: | Material | Abbe Number (V) | | -------- | ----------- | From 9c2bb5f8f8587bc588048ee3440c9497329cd8d4 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:33:53 -0500 Subject: [PATCH 11/27] wording cleanup. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index c278af0bbe..49c56c1b27 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -33,7 +33,7 @@ The Abbe number \( $V$ \) is computed from the index of refraction at three wave $$V = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction (assumed to be at the color blue, \( $N_d$ \), as specified by the KHR_materials_ior extension): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction (assumed to be at the central wavelength, \( $N_d$ \), as specified by the KHR_materials_ior extension): $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} From c6c6860aed5b275901c1562f01b72e0675504185 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:35:40 -0500 Subject: [PATCH 12/27] split equations apart. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 49c56c1b27..524e97d3f3 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -38,9 +38,11 @@ To calculate the index of refraction at a specific wavelength \( $\lambda$ \), g $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} $$ + $$ A = n_d - \frac{B}{\lambda_d^2} $$ + $$ n(\lambda) = A + \frac{B}{\lambda^2} $$ From d8189a98d0a4446a5cda1e2a7418b583ed002aae Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:36:17 -0500 Subject: [PATCH 13/27] test --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 524e97d3f3..944a4fc52b 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -39,10 +39,14 @@ $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} $$ +And then: + $$ A = n_d - \frac{B}{\lambda_d^2} $$ +And finally: + $$ n(\lambda) = A + \frac{B}{\lambda^2} $$ From 238a23b2deddbf88bdacbbb3c44ee1fbbf39e2b1 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 13 Nov 2023 12:40:11 -0500 Subject: [PATCH 14/27] improve the json to match dispersion spec --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 4 ++-- .../schema/material.KHR_materials_dispersion.schema.json | 5 ++--- 2 files changed, 4 insertions(+), 5 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 944a4fc52b..a52ba23b3d 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -33,7 +33,7 @@ The Abbe number \( $V$ \) is computed from the index of refraction at three wave $$V = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction (assumed to be at the central wavelength, \( $N_d$ \), as specified by the KHR_materials_ior extension): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the KHR_materials_ior extension (assumed to be at the central wavelength, \( $N_d$ \)): $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} @@ -79,7 +79,7 @@ Factor and texture are combined by multiplication to describe a single value. |-|----|-----------|--------| | **dispersion** | `number` | The strength of the dispersion effect, specified as 20/Abbe number. | No, default: `0`| -The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value in the valid range [0, 100] other than zero is considered to be a valid dispersion value, although the range between [0 , 1] is the range of realistic values. +The default value of 0 has a special meaning in that no dispersion should be used. This is the default value for backwards compatibility. Any value zero or larger is considered to be a valid dispersion value, although the range between [0 , 1] is the range of realistic values. Here is a table of some material dispersion Abbe numbers, including the outlier of Rutile which is a very high dispersion material: diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json index 658585ca62..0ec509ae7f 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json @@ -9,9 +9,8 @@ "type": "number", "description": "The strength of the dispersion.", "default": 0.0, - "minimum": 1.0, - "maximum": 1000.0, - "gltf_detailedDescription": "This parameter defines dispersion in terms of the Abby number formulation." + "minimum": 0.0, + "gltf_detailedDescription": "This parameter defines dispersion in terms of the 20/Abbe number formulation." }, "extensions": { }, "extras": { } From eead161bd69f677676c8449b7587a7fd22151da1 Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 27 Nov 2023 12:14:22 -0500 Subject: [PATCH 15/27] address @lexaknyazev's feedback --- .../KHR_materials_dispersion/README.md | 26 +++++++++---------- ...erial.KHR_materials_dispersion.schema.json | 2 +- 2 files changed, 13 insertions(+), 15 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index a52ba23b3d..39e994c85d 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -23,9 +23,9 @@ Draft ## Overview -This extension adds one parameters to the metallic-roughness material: `dispersion`. +This extension adds one parameter to the metallic-roughness material: `dispersion`. -`dispersion` enables configuring the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. It is an enhancement to the default KHR_materials_volume transmission model which assumes no dispersion. +`dispersion` enables configuring the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. It is an enhancement to the default ```KHR_materials_volume``` transmission model which assumes no dispersion. Optical dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). @@ -33,7 +33,7 @@ The Abbe number \( $V$ \) is computed from the index of refraction at three wave $$V = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the KHR_materials_ior extension (assumed to be at the central wavelength, \( $N_d$ \)): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $N_d$ \)): $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} @@ -53,7 +53,7 @@ $$ ![Dispersion on a Gem](./figures/Dispersion.jpg) -In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Adde number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials @@ -73,8 +73,6 @@ The dispersion, defined in terms of Abbe number, is defined by adding the `KHR_m } ``` -Factor and texture are combined by multiplication to describe a single value. - | |Type|Description|Required| |-|----|-----------|--------| | **dispersion** | `number` | The strength of the dispersion effect, specified as 20/Abbe number. | No, default: `0`| @@ -83,19 +81,19 @@ The default value of 0 has a special meaning in that no dispersion should be use Here is a table of some material dispersion Abbe numbers, including the outlier of Rutile which is a very high dispersion material: -| Material | Abbe Number (V) | -| -------- | ----------- | -| Rutile | 9.8 | -| Polycarbonate | 32 | -| Diamond | 55 | -| Water | 55 | -| Crown Glass | 59 | +| Material | Abbe Number (V) | Dispersion (20/V) | +| -------- | ----------- | -------------- | +| Rutile | 9.8 | 2.04 | +| Polycarbonate | 32 | 0.625 | +| Diamond | 55 | 0.36 | +| Water | 55 | 0.36 | +| Crown Glass | 59 | 0.33 | ## Implementation *This section is non-normative.* -One real-time method for rendering dispersion effects is to trace volume transmission separately for each of color channel accounting for the per channel ior as determined by the Abbe number. The resulting composite image will show color separation between the channels as a result. +One real-time method for rendering dispersion effects is to trace volume transmission separately for each of color channel accounting for the per channel IOR as determined by the Abbe number. The resulting composite image will show color separation between the channels as a result. ## Schema diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json index 0ec509ae7f..37198663d9 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/schema/material.KHR_materials_dispersion.schema.json @@ -7,7 +7,7 @@ "properties": { "dispersion": { "type": "number", - "description": "The strength of the dispersion.", + "description": "This parameter defines dispersion in terms of the 20/Abbe number formulation.", "default": 0.0, "minimum": 0.0, "gltf_detailedDescription": "This parameter defines dispersion in terms of the 20/Abbe number formulation." From 74f42f4c43bcc31d9913279de9e40cc0e991d34e Mon Sep 17 00:00:00 2001 From: Ben Houston Date: Mon, 27 Nov 2023 12:16:10 -0500 Subject: [PATCH 16/27] remove mention of texture --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 39e994c85d..7a51a1aaff 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -53,7 +53,7 @@ $$ ![Dispersion on a Gem](./figures/Dispersion.jpg) -In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. Aside from being more intuitive for artists, this mapping also has the added benefit of being more easily defined with a texture. This is the same transform used by both Adobe Standard Material and OpenPBR. +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials From 2079ab863a1934a23785b8e799800b6a924580d1 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Fri, 19 Jan 2024 14:11:54 -0500 Subject: [PATCH 17/27] Some updates based on review (GitHub and PBR TSG) feedback. --- .../KHR_materials_dispersion/README.md | 40 ++++++++++++++---- .../figures/Dispersion_AdobeStager.jpg | Bin 0 -> 885400 bytes .../figures/Dispersion_BabylonJS.jpg | Bin 0 -> 713995 bytes 3 files changed, 32 insertions(+), 8 deletions(-) create mode 100644 extensions/2.0/Khronos/KHR_materials_dispersion/figures/Dispersion_AdobeStager.jpg create mode 100644 extensions/2.0/Khronos/KHR_materials_dispersion/figures/Dispersion_BabylonJS.jpg diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 7a51a1aaff..791ce6a170 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -4,7 +4,7 @@ - Ben Houston, Threekit [@bhouston](https://github.com/bhouston) -Copyright 2023 The Khronos Group Inc. All Rights Reserved. glTF is a trademark of The Khronos Group Inc. +Copyright 2024 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 @@ -14,7 +14,7 @@ Draft ## Dependencies - Written against the glTF 2.0 spec. -- The `KHR_materials_volume` extension as it builds upon its volumetric effect. +- The `KHR_materials_volume` extension as this builds upon its volumetric effect. ## Exclusions @@ -33,7 +33,7 @@ The Abbe number \( $V$ \) is computed from the index of refraction at three wave $$V = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $N_d$ \)): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $n_d$ \)): $$ B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} @@ -51,8 +51,6 @@ $$ n(\lambda) = A + \frac{B}{\lambda^2} $$ -![Dispersion on a Gem](./figures/Dispersion.jpg) - In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials @@ -93,8 +91,34 @@ Here is a table of some material dispersion Abbe numbers, including the outlier *This section is non-normative.* +Dispersion can have a large influence on the look of objects such as gemstones. However, note that gemstones have many internal reflections, and dispersion alone is not enough to capture their look in a real-time rasterizer. Here is a path-traced example of a gemstone with dispersion (left) and without. + +![Dispersion on a Gem](./figures/Dispersion.jpg) + One real-time method for rendering dispersion effects is to trace volume transmission separately for each of color channel accounting for the per channel IOR as determined by the Abbe number. The resulting composite image will show color separation between the channels as a result. +For this method, use the material's IOR value (from `KHR_materials_ior`, or the default `1.5`) for the green channel's IOR ($n_d$). The full spread of IOR values from the blue to red channel's IORs ($n_F - n_C$) can be calculated from the following equation. Only half of this spread is used to calculate the distance between green's IOR and red or blue. + +$$n_F - n_C = \frac{n_d - 1}{V}$$ + +This extension defines `dispersion` as $20/V$. Taking this into account, the following GLSL sample will calculate three IOR values for use in the red, green, and blue channels: + +```glsl + // Dispersion will spread out the ior values for each r,g,b channel + float halfSpread = (ior - 1.0) * 0.025 * dispersion; + vec3 iors = vec3(ior - halfSpread, ior, ior + halfSpread); +``` + +The red channel will always have the smallest IOR value. In extreme cases, a clamp may be required to prevent this value falling below `1.0`. + +The following screenshot demonstrates the above technique as rendered in real-time by BabylonJS: + +![Dispersion sample screenshot from BabylonJS](./figures/Dispersion_BabylonJS.jpg) + +For comparison, here is the same sample model path-traced in Adobe Substance 3D Stager: + +![Dispersion sample screenshot from Stager](./figures/Dispersion_AdobeStager.jpg) + ## Schema - [material.KHR_materials_dispersion.schema.json](schema/material.KHR_materials_dispersion.schema.json) @@ -105,11 +129,11 @@ One real-time method for rendering dispersion effects is to trace volume transmi [Abbe Number - Wikipedia](https://en.wikipedia.org/wiki/Abbe_number) -[Abbe Number - Wolfram Formula Repository](https://resources.wolframcloud.com/FormulaRepository/resources/Abbe-Number#:~:text=The%20Abbe%20number%2C%20also%20known,of%20V%20indicating%20low%20dispersion.) +[Abbe Number - Wolfram Formula Repository](https://resources.wolframcloud.com/FormulaRepository/resources/Abbe-Number) [OpenPBR Surface specification](https://academysoftwarefoundation.github.io/OpenPBR/) -[Enterprise PBR Shading Model](https://dassaultsystemes-technology.github.io/EnterprisePBRShadingModel/spec-2022x.md.html) +[Enterprise PBR Shading Model](https://dassaultsystemes-technology.github.io/EnterprisePBRShadingModel/spec-2022x.md.html#components/dispersion) [Mikhail N. Polyanskiy. Refractive Index Database (2023)](https://refractiveindex.info) @@ -118,7 +142,7 @@ One real-time method for rendering dispersion effects is to trace volume transmi ## Appendix: Full Khronos Copyright Statement -Copyright 2023 The Khronos Group Inc. +Copyright 2024 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. 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z!epwL^A)L1SObW#!?0WdSc(q$#2V8orR_mp^9BN;Ut1K8o0&j+Gn9l&sX$g+E1+{P zt01$Yjd=$n84X%Aa2*ISs8-?w#9X?$_$AtE7iW;Z_Cd8h1`30aI0602yLg8H0-$8_lplAcJ1u+5Q9=SoNZM zDQ)Y4wN#x@p(9}Ix3mTn3IbZ~^;lupE)*sdsGkWbWYhuKACfM^i3oDve#C6wCod1r zDNR8V2YO}3fdq%dv|v`rVU|&(6KzZuUF-oZ(%i)ju_mJ1f5O-k0ad7PJ;FhXv5O2< zZDD&+rBf}iblLNB7FJiUIDJDnFwtLnrt#d5+#jeA2y+A=lkS zSGR-eE_iiF_eDeGMp0?5l*UX1$?QYEcOYK=SaP{rm+o*r(zK}3F82%1o~^>jE>`6T z*-d$214Mk~1*3_Et3RZ1NOTf~SVLW98P`FA3+-{3kz2BO9S5|kEdy_wWrJ81a} z{3?d?$GFNy=vtpfDT+N+6^&1}-k8bl1w_1L z?I{AsgTeg7z(->U89!L1$9=|w9HdlqVk7Y(I4rwFQ^c|ANWFse8V-{(yH0QjOOzI- zC3c95qzy~Sz5r0R)`e)|JB^Wncz_*HD?G5u3O1jE z4xLn|{mf^wK&WkH<8Z(MKwu-HH&HA81xYw1QL>dr+~t;AF7o?ZZIjI~lGeqY+j5MJ z@*kJ@sx0(lb{0okgsB#p7Vp{ Date: Fri, 26 Jan 2024 15:29:43 -0500 Subject: [PATCH 18/27] Update visible light wording Co-authored-by: Bastian Sdorra --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 791ce6a170..d5be1bd1ed 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -29,7 +29,7 @@ This extension adds one parameter to the metallic-roughness material: `dispersio Optical dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). -The Abbe number \( $V$ \) is computed from the index of refraction at three wavelengths of visible light: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: +The Abbe number \( $V$ \) for visible light is computed from the index of refraction at three wavelengths of Fraunhofer's spectral lines: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: $$V = \frac{n_d - 1}{n_F - n_C}$$ From 3fed58656d34b54803d92a2439ccb486b6409cff Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Fri, 26 Jan 2024 15:45:33 -0500 Subject: [PATCH 19/27] Change $V$ to $V_d$ per review, add note about internal reflections --- .../KHR_materials_dispersion/README.md | 23 ++++++++++++------- 1 file changed, 15 insertions(+), 8 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index d5be1bd1ed..79ca6cfcd4 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -3,6 +3,11 @@ ## Contributors - Ben Houston, Threekit [@bhouston](https://github.com/bhouston) +- Bastian Sdorra, Dassault Systemes [@bsdorra](https://github.com/bsdorra) +- Tobias Haeussler [@proog128](https://github.com/proog128) +- Mike Bond, Adobe [@miibond](https://github.com/MiiBond) +- Alex Wood, AGI [@abwood](https://github.com/abwood) +- Ed Mackey, AGI [@emackey](https://github.com/emackey) Copyright 2024 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. @@ -27,16 +32,16 @@ This extension adds one parameter to the metallic-roughness material: `dispersio `dispersion` enables configuring the strength of the angular separation of colors (chromatic aberration) transmitting through a relatively clear volume. It is an enhancement to the default ```KHR_materials_volume``` transmission model which assumes no dispersion. -Optical dispersion is represented in terms of the Abbe number parameterization \( $V$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). +Optical dispersion is represented in terms of the Abbe number parameterization \( $V_d$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). -The Abbe number \( $V$ \) for visible light is computed from the index of refraction at three wavelengths of Fraunhofer's spectral lines: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: +The Abbe number \( $V_d$ \) for visible light is computed from the index of refraction at three wavelengths of Fraunhofer's spectral lines: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: -$$V = \frac{n_d - 1}{n_F - n_C}$$ +$$V_d = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $n_d$ \)): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V_d$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $n_d$ \)): $$ -B = \frac{n_d - 1}{V \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} +B = \frac{n_d - 1}{V_d \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} $$ And then: @@ -51,7 +56,7 @@ $$ n(\lambda) = A + \frac{B}{\lambda^2} $$ -In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V$ so that a value of 1.0 is equivalent to $V=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials @@ -99,9 +104,9 @@ One real-time method for rendering dispersion effects is to trace volume transmi For this method, use the material's IOR value (from `KHR_materials_ior`, or the default `1.5`) for the green channel's IOR ($n_d$). The full spread of IOR values from the blue to red channel's IORs ($n_F - n_C$) can be calculated from the following equation. Only half of this spread is used to calculate the distance between green's IOR and red or blue. -$$n_F - n_C = \frac{n_d - 1}{V}$$ +$$n_F - n_C = \frac{n_d - 1}{V_d}$$ -This extension defines `dispersion` as $20/V$. Taking this into account, the following GLSL sample will calculate three IOR values for use in the red, green, and blue channels: +This extension defines `dispersion` as $20/V_d$. Taking this into account, the following GLSL sample will calculate three IOR values for use in the red, green, and blue channels: ```glsl // Dispersion will spread out the ior values for each r,g,b channel @@ -119,6 +124,8 @@ For comparison, here is the same sample model path-traced in Adobe Substance 3D ![Dispersion sample screenshot from Stager](./figures/Dispersion_AdobeStager.jpg) +In general, higher IOR values result in more visible dispersion, up until the point where the IOR values become so high that the light encounters total internal reflection within a volume. + ## Schema - [material.KHR_materials_dispersion.schema.json](schema/material.KHR_materials_dispersion.schema.json) From 03cb95af3f3846eacb986f201c75adb5a8b3c7a0 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 09:35:55 -0500 Subject: [PATCH 20/27] Update to reference Cauchy's equation Co-authored-by: Bastian Sdorra --- .../Khronos/KHR_materials_dispersion/README.md | 15 +++++++++++---- 1 file changed, 11 insertions(+), 4 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 79ca6cfcd4..bab1d29105 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -38,22 +38,29 @@ The Abbe number \( $V_d$ \) for visible light is computed from the index of refr $$V_d = \frac{n_d - 1}{n_F - n_C}$$ -To calculate the index of refraction at a specific wavelength \( $\lambda$ \), given an Abbe number \( $V_d$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $n_d$ \)): +To calculate the index of refraction at a specific wavelength \( $\lambda$ \), we use the first two terms of Cauchy's equation: + +$$ +n(\lambda) = A + \frac{B}{\lambda^2} +$$ + +Given an Abbe number \( $V_d$ \) and the central index of refraction as specified by the ```KHR_materials_ior``` extension (assumed to be at the central wavelength, \( $n_d$ \)), the coefficients are defined as: $$ B = \frac{n_d - 1}{V_d \left( {\lambda_F^{-2}} - {\lambda_C^{-2}} \right)} $$ -And then: +And: $$ A = n_d - \frac{B}{\lambda_d^2} $$ -And finally: +By substituting the symbolic wavelength constants $n_d$, $n_F$ and $n_C$ with the values provided above we get: $$ -n(\lambda) = A + \frac{B}{\lambda^2} +n(\lambda) = \max(n_d + \frac{n_d-1}{V_d} \left( \frac{523655}{\lambda^2} - 1.5168 \right), 1) + $$ In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. From ed3665b741a4017740e43f879f9520f1efdd53c5 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 10:59:06 -0500 Subject: [PATCH 21/27] Fix blank line --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 1 - 1 file changed, 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index bab1d29105..492e10e939 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -60,7 +60,6 @@ By substituting the symbolic wavelength constants $n_d$, $n_F$ and $n_C$ with th $$ n(\lambda) = \max(n_d + \frac{n_d-1}{V_d} \left( \frac{523655}{\lambda^2} - 1.5168 \right), 1) - $$ In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. From c4e6d86507c9009202d293eb18b6e8e12382a7eb Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 11:12:12 -0500 Subject: [PATCH 22/27] Add note box per review. This didn't appear in VSCode's markdown preview, but we'll test GitHub. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 492e10e939..f7d2125e8e 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -62,7 +62,10 @@ $$ n(\lambda) = \max(n_d + \frac{n_d-1}{V_d} \left( \frac{523655}{\lambda^2} - 1.5168 \right), 1) $$ -In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. This is the same transform used by both Adobe Standard Material and OpenPBR. +In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. + +> [!NOTE] +> This is the same transform used by both Adobe Standard Material and OpenPBR. ## Extending Materials From 2be11e599c3662509f3dfe7692df5a3ff6a3f308 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 11:49:27 -0500 Subject: [PATCH 23/27] Lambda fix per review --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index f7d2125e8e..d242a9b201 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -56,7 +56,7 @@ $$ A = n_d - \frac{B}{\lambda_d^2} $$ -By substituting the symbolic wavelength constants $n_d$, $n_F$ and $n_C$ with the values provided above we get: +By substituting the symbolic wavelength constants $\lambda_d$, $\lambda_F$, and $\lambda_C$ with the values provided above we get: $$ n(\lambda) = \max(n_d + \frac{n_d-1}{V_d} \left( \frac{523655}{\lambda^2} - 1.5168 \right), 1) From e2760ba6f913966354f7b34a42af3fa3d57c8e91 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 11:51:07 -0500 Subject: [PATCH 24/27] Tweak --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index d242a9b201..e9d9775ec7 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -65,7 +65,7 @@ $$ In this extension, we store a transformed dispersion instead of the Abbe number directly. Specifically we store $20/V_d$ so that a value of 1.0 is equivalent to $V_d=20$, which is about the lowest Abbe number for normal materials. Values over 1.0 are still valid for artists that want to exaggerate the effect. Decreasing values lower the amount of dispersion down to 0.0. > [!NOTE] -> This is the same transform used by both Adobe Standard Material and OpenPBR. +> This is the same transform used by both Adobe Standard Material and ASWF's OpenPBR. ## Extending Materials From 852fd285e014a8b99f9da6ea6a3ee74418c35db9 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 13:03:42 -0500 Subject: [PATCH 25/27] Status changed from "Draft" to "RC" in an official PBR TSG vote today. --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index e9d9775ec7..893642810b 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -14,7 +14,7 @@ See [Appendix](#appendix-full-khronos-copyright-statement) for full Khronos Copy ## Status -Draft +Release Candidate ## Dependencies From 72b10068bb900d898e7de81687f254175e6b0519 Mon Sep 17 00:00:00 2001 From: Ed Mackey Date: Mon, 29 Jan 2024 14:25:03 -0500 Subject: [PATCH 26/27] Contributor list update --- extensions/2.0/Khronos/KHR_materials_dispersion/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index 893642810b..c556d9f7f7 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -6,6 +6,8 @@ - Bastian Sdorra, Dassault Systemes [@bsdorra](https://github.com/bsdorra) - Tobias Haeussler [@proog128](https://github.com/proog128) - Mike Bond, Adobe [@miibond](https://github.com/MiiBond) +- Alexey Knyazev, Individual Contributor, [@lexaknyazev](https://github.com/lexaknyazev) +- Eric Chadwick, DGG, [@echadwick-artist](https://github.com/echadwick-artist) - Alex Wood, AGI [@abwood](https://github.com/abwood) - Ed Mackey, AGI [@emackey](https://github.com/emackey) From 067455236c462e00075ec87cd2bd2df29421ae9c Mon Sep 17 00:00:00 2001 From: Alexey Knyazev <3479527+lexaknyazev@users.noreply.github.com> Date: Mon, 29 Jan 2024 23:39:21 +0400 Subject: [PATCH 27/27] Clarify Fraunhofer spectral lines and define lambda symbols Co-authored-by: Bastian Sdorra --- .../2.0/Khronos/KHR_materials_dispersion/README.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md index c556d9f7f7..67873011d9 100644 --- a/extensions/2.0/Khronos/KHR_materials_dispersion/README.md +++ b/extensions/2.0/Khronos/KHR_materials_dispersion/README.md @@ -36,10 +36,16 @@ This extension adds one parameter to the metallic-roughness material: `dispersio Optical dispersion is represented in terms of the Abbe number parameterization \( $V_d$ \). The dispersion effect is a result of the wavelength-dependent index of refraction of a material. Dispersion is a widely adopted parameter in modern PBR models. It is present in both OpenPBR (as *transmission_dispersion_abbe_number*) and the Dassault Enterprise PBR Shading Model (as $V_d$). -The Abbe number \( $V_d$ \) for visible light is computed from the index of refraction at three wavelengths of Fraunhofer's spectral lines: 486.1 nm (short wavelength blue, $n_F$), 587.6 nm (central wavelength, $n_d$), and 656.3 nm (long wavelength red, $n_C$). The Abbe number makes the simplifying assumption that the index of refraction variance is linear: - +With the simplifying assumption that the index of refraction variance is linear, +the Abbe number \( $V_d$ \) for visible light is computed as: $$V_d = \frac{n_d - 1}{n_F - n_C}$$ +where $n_F$, $n_d$ and $n_C$ are the indices of refraction at the wavelengths of the Fraunhofer F, d, and C spectral lines: +$$\lambda_F = 486.13 nm$$ +$$\lambda_d = 587.56 nm$$ +$$\lambda_C = 656.27 nm$$ + + To calculate the index of refraction at a specific wavelength \( $\lambda$ \), we use the first two terms of Cauchy's equation: $$