From 9704b2a1a5b49ca7b47496558c392623efca3bc6 Mon Sep 17 00:00:00 2001 From: Jonathan Stone Date: Sat, 8 Jun 2024 11:25:45 -0700 Subject: [PATCH 01/15] Update OpenPBR default example (#216) This changelist updates the OpenPBR default example, matching its values to the latest default values of the shading model. --- examples/open_pbr_default.mtlx | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/examples/open_pbr_default.mtlx b/examples/open_pbr_default.mtlx index 85c53791..756eda8a 100644 --- a/examples/open_pbr_default.mtlx +++ b/examples/open_pbr_default.mtlx @@ -20,7 +20,7 @@ - + @@ -35,8 +35,8 @@ - - + + From e8214894a821a3aae803e8e8d1cf3fa7a4d58999 Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 11 Jun 2024 17:51:57 +0100 Subject: [PATCH 02/15] Change thin film IOR default (#211) From 1.5 to 1.4. As this won't make much difference to the look in implementations that ignore the adjacent IORs of the film. But for those that take it into account, this will make the film visible rather than invisible by default (since `specular_ior` is 1.5 by default, and `coat_ior` 1.6). --- examples/open_pbr_default.mtlx | 2 +- index.html | 2 +- parametrization.md.html | 2 +- reference/open_pbr_surface.mtlx | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/examples/open_pbr_default.mtlx b/examples/open_pbr_default.mtlx index 756eda8a..8125541a 100644 --- a/examples/open_pbr_default.mtlx +++ b/examples/open_pbr_default.mtlx @@ -37,7 +37,7 @@ - + diff --git a/index.html b/index.html index 04426758..8b6347c9 100644 --- a/index.html +++ b/index.html @@ -868,7 +868,7 @@ --------------------------|-----------|----------|:---------------:|:-------------:|:--------:|---------------------------------------------- **`thin_film_weight`** | Weight | `float` | $ [0, 1] $ | | $ 0 $ | Coverage weight of the thin film **`thin_film_thickness`** | Thickness | `float` | $ [0, \infty) $ | $ [0, 1] $ | $ 0.5 $ | Thickness of the film in micrometers ($\mathrm{\mu m}$) -**`thin_film_ior`** | IOR | `float` | $ (0, \infty) $ | $ [1, 3] $ | $ 1.5 $ | Refractive index of the film +**`thin_film_ior`** | IOR | `float` | $ (0, \infty) $ | $ [1, 3] $ | $ 1.4 $ | Refractive index of the film ![](images/thin_film_0nm.png width=99%) ![](images/thin_film_300nm.png width=99%) ![](images/thin_film_600nm.png width=99%)
diff --git a/parametrization.md.html b/parametrization.md.html index eb37cb0e..d87d1581 100644 --- a/parametrization.md.html +++ b/parametrization.md.html @@ -63,7 +63,7 @@ | **Thin-film** | | `thin_film_weight` | Weight | `float` | $ [0, 1] $ | | $ 0 $ | | | `thin_film_thickness` | Thickness | `float` | $ [0, \infty) $ | $ [0, 1] $ | $ 0.5 $ | $\mathrm{\mu m}$ | -| `thin_film_ior` | IOR | `float` | $ (0, \infty) $ | $ [1, 3] $ | $ 1.5 $ | | +| `thin_film_ior` | IOR | `float` | $ (0, \infty) $ | $ [1, 3] $ | $ 1.4 $ | | | **Geometry** | | `geometry_opacity` | Opacity | `float` | $ [0, 1] $ | | $ 1 $ | | | `geometry_thin_walled` | Thin walled | `boolean` | {false, true} | | false | | diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index d57a18a6..b74bae00 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -69,7 +69,7 @@ doc="Coverage weight of the thin-film. Use for materials such as multi-tone car paint or soap bubbles." /> - From 660b2063ab8d341ae8561813ba4a65eda338849e Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 11 Jun 2024 18:43:03 +0100 Subject: [PATCH 03/15] Add note about dark fuzz (#207) Addressing https://github.com/AcademySoftwareFoundation/OpenPBR/issues/176 --- index.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/index.html b/index.html index 8b6347c9..0811b371 100644 --- a/index.html +++ b/index.html @@ -1074,7 +1074,7 @@ The fuzz BRDF $f_\mathrm{fuzz}$ and VDF $V_\mathrm{fuzz}$ are assumed to be derived from an anisotropic microflake volume model with a fiber-like distribution. We recommend the specific model of [#Zeltner2022] (based on the earlier work of [#Heitz2015]), which has the following characteristics: -- The fuzz represents a homogeneous volumetric layer with a fiber-like SGGX microflake [#Heitz2015] phase function. This is approximated using a Linearly Transformed Cosines (LTC) model [#Heitz2016b] fitted to volumetric simulations. The microflake fibers are assumed to have a single-scattering albedo that effectively produces a reflection tinted with the **`fuzz_color`** after multiple scattering. +- The fuzz represents a homogeneous volumetric layer with a fiber-like SGGX microflake [#Heitz2015] phase function. This is approximated using a Linearly Transformed Cosines (LTC) model [#Heitz2016b] fitted to volumetric simulations. The microflake fibers are assumed to have a single-scattering albedo that effectively produces a reflection tinted with the **`fuzz_color`** after multiple scattering, allowing the fuzz to darken as well as lighten. - The volumetric fuzz layer is assumed to have a fixed unit optical thickness in all channels, and is purely scattering so no energy is absorbed. Thus any light not reflected after multiple scattering is assumed to transmit to the lower layers, and the transmittance is gray so the base is not tinted by the fuzz. The amount of this fixed thickness fuzz is controlled via the layer coverage weight **`fuzz_weight`**. The fuzz layer is also assumed to be index-matched with the adjacent slab above it, i.e. the fibers are embedded in the surrounding dielectric medium, thus there is no Fresnel reflection from the slab. - The **`fuzz_roughness`** parameter controls how fibre-like the microflake distribution of the layer is. At low roughness the microflakes are highly fibre-like (i.e. thin fibres oriented along the normal) producing a high-sheen fabric appearance, while at high roughness the microflakes are spherical producing a dusty appearance. From 5bb9a13ec1bcc1e33fe6fcecf089605600c0eae4 Mon Sep 17 00:00:00 2001 From: Jonathan Stone Date: Sun, 16 Jun 2024 17:58:30 -0700 Subject: [PATCH 04/15] Enable Zeltner sheen (#217) This changelist enables Zeltner sheen in the reference implementation of OpenPBR, leveraging the new functionality in MaterialX 1.39. Additionally, the open_pbr_velvet.mtlx example has been updated to account for the visual differences between Conty-Kulla and Zeltner sheen. --- examples/open_pbr_velvet.mtlx | 2 +- reference/open_pbr_surface.mtlx | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/open_pbr_velvet.mtlx b/examples/open_pbr_velvet.mtlx index 25b72cc0..2b2da96c 100644 --- a/examples/open_pbr_velvet.mtlx +++ b/examples/open_pbr_velvet.mtlx @@ -8,6 +8,6 @@ - + diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index b74bae00..665e369f 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -558,12 +558,12 @@ - + From e6427ba9aef2de1d05cec6d7060dde34d7ab39dc Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 25 Jun 2024 17:37:30 +0100 Subject: [PATCH 05/15] Add a "resources" section to the front page (#215) With links to - MaterialX web viewer running OpenPBR default material - OpenPBR-viewer project and web app --- README.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/README.md b/README.md index a915e942..c81cc8bc 100644 --- a/README.md +++ b/README.md @@ -18,6 +18,12 @@ OpenPBR Surface is an open standard hosted by the [Academy Software Foundation]( * **[Reference implementation](reference/open_pbr_surface.mtlx)** – written in [MaterialX](https://materialx.org/) * **[BibTeX citation](openpbr.bib)** +### Resources + +* [MaterialX Web Viewer](https://academysoftwarefoundation.github.io/MaterialX/?file=Materials/Examples/OpenPbr/open_pbr_default.mtlx) - WebGL rasterization renderer using MaterialX [implementation](reference/open_pbr_surface.mtlx) of OpenPBR +* [OpenPBR-viewer](https://github.com/portsmouth/OpenPBR-viewer) - self-contained example implementation in a WebGL pathtracer (run [here](https://portsmouth.github.io/OpenPBR-viewer)) +* [#openpbr](https://academysoftwarefdn.slack.com/channels/openpbr) - public Slack channel for discussions, hosted by ASWF +
[![License: CC BY-SA 4.0](https://img.shields.io/badge/License-Apache%202.0-informational.svg)](LICENSE) From 8d2631ee8e9a21bb7997c082fe3d0d0c09d97639 Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 25 Jun 2024 17:38:38 +0100 Subject: [PATCH 06/15] Clarify formula for emission color (#209) Following the discussion of https://github.com/AcademySoftwareFoundation/OpenPBR/issues/85. --- index.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/index.html b/index.html index 0811b371..efabcd00 100644 --- a/index.html +++ b/index.html @@ -1128,7 +1128,7 @@ * +-------------------------------------------------+ * ******************************************************* -The intensity of the EDF is controlled by a luminance and a color multiplier. The **`emission_luminance`** parameter controls the luminance the emissive layer would have when **`emission_color`** is set to (1, 1, 1) and in the absence of coat and fuzz. The **`emission_color`** acts as a multiplier, thus the resulting luminance may be less than the input parameter, or even zero if the color multiplier is set to (0, 0, 0). +The intensity of the EDF is controlled by a luminance and a color multiplier. The **`emission_luminance`** parameter controls the luminance the emissive layer would have when **`emission_color`** is set to (1, 1, 1) and in the absence of coat and fuzz. The **`emission_color`** acts as a multiplier, i.e. the HDR emission in the model color space is defined to have a color given by **`emission_color`** * **`emission_luminance`**, thus the resulting luminance may be less than the input parameter, or even zero if the **`emission_color`** is set to (0, 0, 0). Moreover, the overall material luminance may be further reduced in the presence of coat or fuzz, as they can absorb light coming from the emissive layer before it exits the surface. The emission from the top surface should in principle gain a directional dependence due to the combined effects of absorption, total internal reflection (TIR) and multiple bounces in the coat layer, and absorption in the fuzz layer. The combined effect should result mostly in darkening and saturation at grazing angles. From 5bcea3687c9b2070fc1d0d88940d5fbcd43dbce5 Mon Sep 17 00:00:00 2001 From: Jonathan Stone Date: Thu, 27 Jun 2024 06:34:08 -0700 Subject: [PATCH 07/15] Update subsurface color types (#220) This changelist updates the types associated with physical color values for subsurface scattering in OpenPBR, aligning with the conclusions of recent threads on ASWF Slack channels. - Change `subsurface_radius_scale` from a `vector3` to a `color3` in the specification, aligning with the MaterialX implementation of OpenPBR. - Change the `radius` input of `subsurface_bsdf` from a `vector3` to a `color3` in the MaterialX implementation, aligning with the current definition of the `subsurface_bsdf` node in MaterialX 1.39. --- index.html | 2 +- parametrization.md.html | 2 +- reference/open_pbr_surface.mtlx | 9 +++------ 3 files changed, 5 insertions(+), 8 deletions(-) diff --git a/index.html b/index.html index efabcd00..05968757 100644 --- a/index.html +++ b/index.html @@ -750,7 +750,7 @@ **`subsurface_weight`** | Weight | `float` | $ [0, 1] $ | | $ 0 $ | Mix weight between subsurface and diffuse slabs **`subsurface_color`** | Color | `color3` | $ [0, 1] $ | | $ (0.8, 0.8, 0.8) $ | The observed reflection color of $V^\infty_\mathrm{subsurface}$ **`subsurface_radius`** | Radius | `float` | $ [0, \infty) $ | $ [0, 1] $ | $ 1 $ | Length scale of MFP -**`subsurface_radius_scale`** | Radius scale | `vector3` | $ [0, 1]^3 $ | | $ (1.0, 0.5, 0.25) $ | RGB multiplier to **`subsurface_radius`**, giving the per-channel MFPs +**`subsurface_radius_scale`** | Radius scale | `color3` | $ [0, 1]^3 $ | | $ (1.0, 0.5, 0.25) $ | RGB multiplier to **`subsurface_radius`**, giving the per-channel MFPs **`subsurface_scatter_anisotropy`** | Anisotropy | `float` | $ [-1, 1] $ | | $ 0 $ | Anisotropy of the Henyey--Greenstein phase function of the interior medium $V^\infty_\mathrm{subsurface}$ ![](images/subsurface1.jpg width=99%) ![](images/subsurface2.jpg width=99%) ![](images/subsurface3.jpg width=99%) diff --git a/parametrization.md.html b/parametrization.md.html index d87d1581..73515975 100644 --- a/parametrization.md.html +++ b/parametrization.md.html @@ -44,7 +44,7 @@ | `subsurface_weight` | Weight | `float` | $ [0, 1] $ | | $ 0 $ | | | `subsurface_color` | Color | `color3` | $ [0, 1] $ | | $ (0.8, 0.8, 0.8) $ | | | `subsurface_radius` | Radius | `float` | $ [0, \infty) $ | $ [0, 1] $ | $ 1 $ | length | -| `subsurface_radius_scale` | Radius scale | `vector3` | $ [0, 1]^3 $ | | $ (1.0, 0.5, 0.25) $ | | +| `subsurface_radius_scale` | Radius scale | `color3` | $ [0, 1]^3 $ | | $ (1.0, 0.5, 0.25) $ | | | `subsurface_scatter_anisotropy` | Anisotropy | `float` | $ [-1, 1] $ | | $ 0 $ | | | **Coat** | | `coat_weight` | Weight | `float` | $ [0, 1] $ | | $ 0 $ | | diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index 665e369f..edd44a58 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -177,16 +177,13 @@ - - - - - + + - + From aefefb4ca01043be34e4bcf22793a3ab20011efb Mon Sep 17 00:00:00 2001 From: Jonathan Stone Date: Fri, 28 Jun 2024 14:00:37 -0700 Subject: [PATCH 08/15] Update specification and reference to v1.1 (#221) --- index.html | 2 +- reference/open_pbr_surface.mtlx | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/index.html b/index.html index 05968757..c5d85792 100644 --- a/index.html +++ b/index.html @@ -4,7 +4,7 @@ **OpenPBR Surface** -
*Specification v1.0, 2024-06-04.     homepage *
+
*Specification v1.1, 2024-06-28.     homepage *

This document is a specification of a surface shading model intended as a standard for computer graphics: the OpenPBR Surface model. Designed as an über-shader, it aims to be capable of accurately modeling the vast majority of CG materials used in practical visual effects and feature animation productions. The model has been developed as a synthesis of the Autodesk Standard Surface and the Adobe Standard Material models. diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index edd44a58..8186482c 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -3,7 +3,7 @@ - From 87539662859cc08d0b59e65b8c96c75e3ee7bb26 Mon Sep 17 00:00:00 2001 From: Julien Guertault <9511025+virtualzavie@users.noreply.github.com> Date: Tue, 10 Jun 2025 17:18:25 +0200 Subject: [PATCH 09/15] Add "Flexibility of implementation" section (#248) * Add page to propose real-time approximations * Mention layering and mixing approximation * Mantion specular reflection approximation * Mention anisotropic reflection approximations * Fix typos * Wording * Reword the section, move it to the main document, remove the annex --- index.html | 30 ++++++++++++++++++++++++------ 1 file changed, 24 insertions(+), 6 deletions(-) diff --git a/index.html b/index.html index c5d85792..eba523b1 100644 --- a/index.html +++ b/index.html @@ -196,8 +196,6 @@ \end{equation} where $T_\mathrm{coat}(\omega_i, \omega_o)$ accounts for the total volumetric absorption of the coat along the input and output rays. Similarly if the coat is rough this will effectively roughen the substrate BSDF lobe also, which can be accounted for approximately via various heuristics. -Complete conformance to the spec is defined as reproducing all the physical inter-layer light transport effects, though this is not typically practical. In practice, each implementation must decide what level of approximation to use for the light transport within layers, trading off accuracy for efficiency according to its own particular use case. - Mixing ------------------------------------- @@ -363,9 +361,7 @@ In addition to the weight and opacity parameters explicit in the model structure above, the properties of each component slab are controlled via further parameters detailed below (see the Parameter reference section for the full set). -Since the model is simply a physical description of a material structure, in principle it would be amenable to solution via accurate methods such as those developed in [#Jakob2014], [#Belcour2018], and [#Zeltner2018], which attempt to compute all the various modes of reflection and transmission through the whole stack of layers, generating a final BSDF which is not necessarily a simple linear combination of the individual interface BSDFs. However we want this material model to be renderable on a wide range of platforms, from offline path tracers all the way to real-time game engines on mobile devices. Enforcing a particular implementation would make the use of the material model impractical for certain classes of renderers, and ultimately make the model less useful. For this reason we consider the choice of a specific implementation of the final BSDF to be outside the scope of this specification. - -For convenience and efficiency, at present it is most likely to be mapped to a model consisting of a mixture of BSDF lobes similar to the Autodesk Standard Surface shader [#Georgiev2019] and its representation in MaterialX. An example derivation of such a model is provided in the ["Reduction to a mixture of lobes"](index.html#model/reductiontoamixtureoflobes) section below. We also provide a [reference implementation](reference/open_pbr_surface.mtlx) in MaterialX based on this derivation. +Since the model is simply a physical description of a material structure, in principle it would be amenable to solution via accurate methods such as those developed in [#Jakob2014], [#Belcour2018], and [#Zeltner2018], which attempt to compute all the various modes of reflection and transmission through the whole stack of layers, generating a final BSDF which is not necessarily a simple linear combination of the individual interface BSDFs. At present however, for the reasons described in the Flexibility of implementation section, it is most likely to be mapped to a model consisting of a mixture of BSDF lobes similar to the Autodesk Standard Surface shader [#Georgiev2019] and its representation in MaterialX. An example derivation of such a model is provided in the ["Reduction to a mixture of lobes"](index.html#model/reductiontoamixtureoflobes) section below. We also provide a [reference implementation](reference/open_pbr_surface.mtlx) in MaterialX based on this derivation. We now discuss the detailed form of the BSDFs and media of the slabs in the structure. @@ -740,7 +736,7 @@ The phase function anisotropy $g$ of the medium is taken to be given directly by the **`subsurface_scatter_anisotropy`** parameter [^anisotropy_g]. It is assumed that the phase function has the standard Henyey--Greenstein form. -Once the underlying volumetric medium properties $\boldsymbol{\mu}_t$, $\boldsymbol{\alpha}$ and $g$ are determined, implementations are free to choose how to compute the light transport in the subsurface medium according to their use case, for example accurately via volumetric path tracing ([#Novak2018], [#Pharr2023]), or approximately via a bidirectional scattering surface reflectance distribution (BSSRDF) model using e.g. the dipole approximation [#Jensen2001].``` +Once the underlying volumetric medium properties $\boldsymbol{\mu}_t$, $\boldsymbol{\alpha}$ and $g$ are determined, implementations are free to choose how to compute the light transport in the subsurface medium according to their use case, for example accurately via volumetric path tracing ([#Novak2018], [#Pharr2023]), or approximately via a bidirectional scattering surface reflectance distribution (BSSRDF) model using e.g. the dipole approximation [#Jensen2001]. Note that the default value of **`subsurface_radius_scale`** is set at $(1, 0.5, 0.25)$ to approximate the effect of Rayleigh scattering. If we roughly approximate the wavelength corresponding to each of the RGB channels as $\lambda/\mathrm{nm} \approx 650, 550, 450$ and assume the radii scale like the reciprocal of the extinction, then since in Rayleigh scattering the extinction scales like $\lambda^{-4}$ for light of wavelength $\lambda$ the expected relative magnitudes of the radii are $(1, (550/650)^4, (450/650)^4) \approx (1, 0.5, 0.25)$, hence the chosen default. This provides a slightly more realistic default look for the subsurface than resulting from gray radii. @@ -1431,6 +1427,20 @@ We provide a [reference implementation](reference/open_pbr_surface.mtlx) in MaterialX, which is based on the derivation in the previous section and the implementation of Autodesk Standard Surface [#Georgiev2019]. +Flexibility of implementation +============================= + +We want this material model to be renderable on a wide range of platforms, from offline path tracers all the way to real-time game engines on mobile devices. + +The Historical background and objectives section explains how the goal of this specification is to provide an ideal, reference appearance. Complete conformance to the specification is defined as reproducing all the physical light transport effects of that ideal appearance. + +However, a number of features can be computationally expensive and therefore impractical to support under certain constraints. Enforcing a specific implementation would tailor the material model to a particular set of constraints, limiting its versatility, which would ultimately make it less useful. For this reason, the specification focuses solely on defining the target appearance. The choice of the final BSDF implementation and its associated trade-off is left entirely to the implementer, allowing them to best suit it to their needs. + +Each implementation must decide what level of approximation to use, trading off accuracy for efficiency according to its own particular use case. As a guideline, we suggest approaching those approximations conceptually like different level of detail (LOD) variants of an asset. Just like such an asset would become coarser with distance while retaining as much detail as necessary to remain faithful to the original, an implementation of OpenPBR may decide to make simplifications, as long as the result remains reasonably faithful to the intent given the practical constraints. In the most extreme hypothetical case, the model might even get reduced to as little as a single Lambert BRDF. + +This means the implementer must carefully consider the handling of parameters they do not plan to fully support. A parameter that drastically modifies the appearance of a material should not be discarded just because the corresponding effect is not supported. As an example, in a renderer that doesn't have subsurface scattering, the subsurface color might be used as the albedo of a diffuse BRDF. + + From de103ae535f904c5b5c44edcf71003f3258cab02 Mon Sep 17 00:00:00 2001 From: Adrien Herubel Date: Fri, 17 Apr 2026 19:22:49 +0100 Subject: [PATCH 15/15] 1.1.1 release candidate (#302) This PR increases the version to 1.1.1 and backports any missing change in the branch, it also adds a complete changelog for 1.1 and 1.1.1. Backported PRs : - #235 - #230 - #218 - #289 - #236 - #262 --- CHANGELOG.md | 35 + README.md | 11 +- images/base-ior.png | Bin 0 -> 3333309 bytes images/carbon_fiber_a0.0.png | Bin 0 -> 838759 bytes images/carbon_fiber_a0.5.png | Bin 0 -> 850668 bytes images/carbon_fiber_a0.9.png | Bin 0 -> 886623 bytes images/coat_darkening_0.0.png | Bin 0 -> 1144362 bytes images/coat_darkening_0.5.png | Bin 0 -> 1154081 bytes images/coat_darkening_1.png | Bin 0 -> 1172727 bytes images/fuzz_dust_r0.25.png | Bin 0 -> 1021844 bytes images/fuzz_dust_r0.5.png | Bin 0 -> 1046257 bytes images/fuzz_dust_r0.75.png | Bin 0 -> 1077381 bytes images/glossy-diffuse.png | Bin 0 -> 2747212 bytes images/logo/openpbr-logo-favicon.png | Bin 0 -> 4715 bytes images/logo/openpbr-logo-glyph.png | Bin 0 -> 173157 bytes images/logo/openpbr-logo-glyph.svg | 38 + images/logo/openpbr-logo-icon-minimal.png | Bin 0 -> 124058 bytes images/logo/openpbr-logo-icon-minimal.svg | 28 + images/logo/openpbr-logo-icon.png | Bin 0 -> 173434 bytes images/logo/openpbr-logo-icon.svg | 35 + images/logo/openpbr-logo-text.png | Bin 0 -> 149349 bytes images/logo/openpbr-logo-text.svg | 25 + images/logo/openpbr-logo.png | Bin 0 -> 317210 bytes images/logo/openpbr-logo.svg | 42 + images/model_schematic2.png | Bin 0 -> 128601 bytes images/model_schematic2.svg | 1106 +++++++++++++++++++++ index.html | 178 ++-- reference/open_pbr_surface.mtlx | 2 +- 28 files changed, 1416 insertions(+), 84 deletions(-) create mode 100644 CHANGELOG.md create mode 100644 images/base-ior.png create mode 100644 images/carbon_fiber_a0.0.png create mode 100644 images/carbon_fiber_a0.5.png create mode 100644 images/carbon_fiber_a0.9.png create mode 100644 images/coat_darkening_0.0.png create mode 100644 images/coat_darkening_0.5.png create mode 100644 images/coat_darkening_1.png create mode 100644 images/fuzz_dust_r0.25.png create mode 100644 images/fuzz_dust_r0.5.png create mode 100644 images/fuzz_dust_r0.75.png create mode 100644 images/glossy-diffuse.png create mode 100644 images/logo/openpbr-logo-favicon.png create mode 100644 images/logo/openpbr-logo-glyph.png create mode 100644 images/logo/openpbr-logo-glyph.svg create mode 100644 images/logo/openpbr-logo-icon-minimal.png create mode 100644 images/logo/openpbr-logo-icon-minimal.svg create mode 100644 images/logo/openpbr-logo-icon.png create mode 100644 images/logo/openpbr-logo-icon.svg create mode 100644 images/logo/openpbr-logo-text.png create mode 100644 images/logo/openpbr-logo-text.svg create mode 100644 images/logo/openpbr-logo.png create mode 100644 images/logo/openpbr-logo.svg create mode 100644 images/model_schematic2.png create mode 100644 images/model_schematic2.svg diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 index 00000000..9ad74710 --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,35 @@ + +# OpenPBR Change Log +This file gives a high level overview of the changes introduced between versions, relative to version 1.0. + +How to read this document : ✨ new feature  |  🎨 look-changing  |  🐛 bug fix + +## [[1.1.1]](https://github.com/AcademySoftwareFoundation/OpenPBR/tree/v1.1.1) - April 17, 2026 +- 🐛 [Implementation flexibility](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/248) **#248**: Adds a new section to the specification formally stating that implementers of the specification are free to use approximations, for example for low-power constraints. +- 🐛 [Thin-walled subsurface](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/258) **#258**: Clarifies the interaction of `geometry_thin_walled` and subsurface and how it affects `subsurface_radius` and `subsurface_scale`. +- 🐛 [HDR emission color](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/260) **#260**: Allows values above 1 for `emission_color`. +- 🐛 [More examples](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/257) **#257**: Adds more material examples. +- 🐛 [MaterialX hints](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/265) **#265**: Adds MaterialX code generation hints. +- 🐛 [Metal edge tint and ignored thin-walled](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/300) **#300**: Fixes two issues in the MaterialX implementation, the edge tint was incorrectly multiplied by the specular weight (backported from **#240**) and `geometry_thin_walled` was not connected to the shader (backported from **AcademySoftwareFoundation/MaterialX#2759**). +- 🐛 [New logo](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/235) **#235**: Uses the new logo in the specification. +- 🐛 [Broken links](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/230) **#230**: Fixes broken links in the specification. +- 🐛 [Improved wording](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/218) **#218**: Adds various clarifications and rewordings to the specification. +- 🐛 [Added Changelog](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/289) **#289**: Adds a changelog to the project. +- 🐛 [New images](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/236) **#236**: Updates images for the model schematic illustration, glossy diffuse wood, fuzz roughness and new images for anisotropy. +- 🐛 [Revised thin-film section](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/262) **#262**: Expands the thin-film specification and revises it to make it clearer. + +## [[1.1]](https://github.com/AcademySoftwareFoundation/OpenPBR/tree/v1.1) - Jun 28, 2024 +- ✨ [Enable Zeltner sheen](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/217) **#217**: This change enables Zeltner sheen in the reference implementation of OpenPBR, leveraging the new functionality in MaterialX. +- 🎨 [Change thin film IOR default](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/211) **#211**: This won't make much difference to the look in implementations that ignore the adjacent IORs of the film, but for those that take it into account, this will make the film visible rather than invisible by default (since `specular_ior` is 1.5 by default, and `coat_ior` 1.6). +- 🎨 [Update subsurface color types](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/220) **#220**: Changes `subsurface_radius_scale` from `vector3` to `color3`, aligning the type with its per-channel usage. +- 🐛 [Updated OpenPBR default example](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/216) **#216**: Updates the OpenPBR default example, matching its values to the latest default values of the shading model. +- 🐛 [Allow darkening in fuzz](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/207) **#207**: Allows fuzz to darken as well as lighten the reflection. +- 🐛 [Resource section](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/215) **#215**: Adds a resource section to the front page of the project. +- 🐛 [Clearer emission color formula](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/209) **#209**: Clarifies the formula for the emission color. +- 🐛 [Version update](https://github.com/AcademySoftwareFoundation/OpenPBR/pull/221) **#221**: Updates the specification and MaterialX node definition to 1.1. + +## [[1.0]](https://github.com/AcademySoftwareFoundation/OpenPBR/tree/v1.0) - Jun 4, 2024 + +- _First release._ + + diff --git a/README.md b/README.md index c81cc8bc..ccdc3d97 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,14 @@ -# OpenPBR Surface + +
+

+homepage   +homepage +

+

- + +
Shader Playground, rendered in Arnold for Maya, using OpenPBR Surface. Artwork by Nikie Monteleone.


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- ### Metal Metals are completely opaque and have a characteristic and familiar form of specularity due to the Fresnel factor for conductors differing from that for dielectrics. @@ -606,7 +614,7 @@ \begin{eqnarray} \label{EON_brdf} f_\mathrm{diffuse}(\omega_i, \omega_o) = f_\mathrm{ON}(\omega_i, \omega_o) + f^\mathrm{comp}_\mathrm{ON}(\omega_i, \omega_o) \ . \end{eqnarray} -This form of the Oren-Nayar model is termed "energy-preserving Oren-Nayar" or $\textbf{EON}$. +This form of the Oren-Nayar model is termed "energy-preserving Oren-Nayar" or $\textbf{EON}$ [#Portsmouth2024]. The Oren-Nayar term $f_\mathrm{ON}$ is given by the [#Fujii2012] form [^Oren_Nayar_formula] \begin{eqnarray} \label{FON_brdf} f_\mathrm{ON}(\omega_i, \omega_o) = \frac{w_\mathrm{d} \boldsymbol{\rho}}{\pi} \Bigl( A(\sigma) + B(\sigma) \frac{s}{t} @@ -618,7 +626,7 @@ The directional albedo $E_\mathrm{ON}(\omega) = w_\mathrm{d} \boldsymbol{\rho}\,\hat{E}_\mathrm{ON}(\omega)$, and corresponding _average albedo_ $\langle\hat{E}_\mathrm{ON}\rangle$, of the Oren-Nayar term can be determined -analytically [^Oren_Nayar_albedo]. The energy compensation term $f^{\mathrm{comp}}_\mathrm{ON}$ is given in terms of the +analytically [#Portsmouth2024]. The energy compensation term $f^{\mathrm{comp}}_\mathrm{ON}$ is given in terms of the albedo $\langle\hat{E}_\mathrm{ON}\rangle$ by \begin{equation} \label{EON_comp} f^\mathrm{comp}_\mathrm{ON}(\omega_i, \omega_o) = \frac{w_\mathrm{d} \boldsymbol{\rho}_\mathrm{ms}}{\pi} @@ -685,9 +693,9 @@ **`base_diffuse_roughness`** | Diffuse Roughness | `float` | $ [0, 1] $ | $ 0 $ | Roughness of the diffuse lobe $f_\mathrm{diffuse}$ -![](images/glossy_diffuse_diffuseonly.png width=99%) ![](images/glossy_diffuse_speconly.png width=99%) ![](images/glossy_diffuse_sum.png width=99%) +![](images/glossy-diffuse.png width=99%)
- ![Figure [fuzz]: Wood rendered as glossy-diffuse, composed of diffuse lobe (left), specular lobe (middle), and their normalized sum. Near the specular highlight the diffuse lobe is automatically reduced since energy is conserved.](dummy) + ![Figure [glossy-diffuse]: Wood rendered as glossy-diffuse, composed of diffuse lobe (left), specular lobe (middle), and their normalized sum. Near the specular highlight the diffuse lobe is automatically reduced since energy is conserved.](dummy)
@@ -699,7 +707,7 @@ S_\mathrm{subsurface} = \mathrm{Slab}(f_\mathrm{dielectric}, V^\infty_\mathrm{subsurface}) \ . \end{equation} -As in the cases of the [glossy-diffuse](index.html#model/dielectricbase/glossy-diffuse) slab and the [translucent-base](index.html#model/dielectricbase/translucentbase), the subsurface is bounded by a dielectric interface with BSDF $f_\mathrm{dielectric}$, which generates the primary specular reflection lobe parametrized via the "specular" parameters as described in the Dielectric base section. Combined with this is the reflection generated by light which is transmitted through the dielectric interface into the underlying embedded subsurface medium, where it scatters around and eventually transmits back out. In this case the subsurface medium $V^\infty_\mathrm{subsurface}$ is given a parametrization which is particularly convenient for controlling the volumetric effect of dense subsurface scattering: +As in the cases of the [glossy-diffuse](index.html#model/basesubstrate/glossy-diffuse) slab and the [translucent-base](index.html#model/basesubstrate/translucentbase), the subsurface is bounded by a dielectric interface with BSDF $f_\mathrm{dielectric}$, which generates the primary specular reflection lobe parametrized via the "specular" parameters as described in the Dielectric base section. Combined with this is the reflection generated by light which is transmitted through the dielectric interface into the underlying embedded subsurface medium, where it scatters around and eventually transmits back out. In this case the subsurface medium $V^\infty_\mathrm{subsurface}$ is given a parametrization which is particularly convenient for controlling the volumetric effect of dense subsurface scattering: - **`subsurface_radius`** * **`subsurface_radius_scale`**: the _mean free path_ (MFP) per RGB channel, $\mathbf{r}$, i.e. the average distance that a ray of light travels through the medium before being absorbed or scattered. This thus controls the apparent density of the medium. In the limit of zero MFP, the medium tends towards infinite density, and approaches the look of an opaque diffuse surface. Being a length, **`subsurface_radius`** can be any value greater than or equal to zero. For convenience, we make the soft range $[0, 1]$, thus covering common cases such as skin where the MFP is lower than the scene length units. The **`subsurface_radius_scale`** controls the color channel dependence of the MFP, and thus this color is visible in the light transmitted through thinner regions of the subsurface volume. - **`subsurface_color`**: the observed RGB reflection albedo color taking into account all orders of multiple scattering, $\mathbf{C}$ (where the sense in which this parametrizes the observed color is discussed in detail below). @@ -822,7 +830,7 @@ ![](images/dispersion_0percent.png width=99%) ![](images/dispersion_25percent.png width=99%) ![](images/dispersion_50percent.png width=99%) ![](images/dispersion_75percent.png width=99%) ![](images/dispersion_100percent.png width=99%)
- ![Figure [fuzz]: Increasing the **`transmission_dispersion_scale`** of glass from 0 to 1](dummy) + ![Figure [dispersion]: Increasing the **`transmission_dispersion_scale`** of glass from 0 to 1](dummy)
@@ -840,23 +848,31 @@ Thin-film iridescence ------------------------------------- -_Iridescence_ is the occurrence of rainbow-like color fringes in the reflection when a thin dielectric film with thickness on the order of the wavelength of light is placed on top of a material, due to wave interference between the various electromagnetic reflection modes within the film. To model this, there is assumed to be such a thin-film sitting on top of the base substrate (whether metal or dielectric), parametrized only by: +_Iridescence_ is the occurrence of rainbow-like color fringes in the reflection when a thin dielectric film with thickness on the order of the wavelength of light is placed on top of a material, due to interference between light reflected from the film's top and bottom surfaces, including internal reflections. To model this, we assume such a thin film sits atop the base substrate (whether metal or dielectric), parametrized by: - **`thin_film_weight`**: the coverage (presence) weight of the film, - - **`thin_film_thickness`**: the thickness of the film in micrometers ($\mathrm{\mu m}$), mostly affecting the spacing of the fringes, - - **`thin_film_ior`**: the index of refraction (IOR) of the film, mostly affecting the hue of the fringes + - **`thin_film_thickness`**: the thickness of the film in micrometers ($\mathrm{\mu m}$), + - **`thin_film_ior`**: the index of refraction (IOR) of the film. - The coverage weight functions as a blend between the BSDF with and without the presence of the film, and thus allows one to dial the effect without altering the shape and saturation of the color fringes. +The thickness and IOR together affect the intensity, spacing, and hue of the color fringes. The coverage weight acts as a blend between the BSDF with and without the presence of the film, allowing the overall strength of the effect to be adjusted without altering its structure or color. - The currently recommended thin-film model is that of Belcour and Barla [#Belcour2017]. The shape and color of the fringe patterns in the reflection from the film will be affected (as described by Belcour and Barla) by the complex IOR of the adjacent media above and below the film, which in general are a statistical mix of metal and dielectric below and coat and ambient medium above (which the fuzz is index-matched to). Figure [ior_configs] illustrates the eight possible different structures depending on the presence of both the film and coat, each of which leads to different Fresnel effects due to the differing IORs at the interfaces. +The currently recommended thin-film model is that of Belcour and Barla [#Belcour2017]. This model provides an efficient, high-quality approximation of thin-film interference suitable for typical RGB-based production rendering. -![Figure [ior_configs]: Schematic of all 8 possible IOR configurations, including those involving the thin-film.](images/IOR_configs.svg width="95%" align="center") +Implementations that operate in a spectral rendering context (or that otherwise wish to account for wavelength-dependent IOR and extinction) may alternatively compute the thin-film Fresnel effect directly from first principles by evaluating Fresnel and thin-film interference at one or more wavelengths and integrating the result according to the renderer's spectral pipeline. In such implementations, the thin-film effect is typically evaluated using an Airy-style multi-bounce formulation (e.g., Equation 3 in [#Belcour2017]) together with wavelength-dependent Fresnel amplitude and phase at the film interfaces. Results should be validated against the recommended Belcour and Barla model in the parameter regimes where that model applies. -In principle the implementation should deal with all these physical configurations correctly, though modeling of the precise effect is implementation-dependent. In practice, this wave-optics effect is most easily incorporated directly into the Fresnel factor of the microfacet BSDFs of both the metal and dielectric-base layers. (For this reason, this effect is not represented by incorporating an explicit thin-film Slab into the model). +Regardless of which approach is used, several considerations apply: -Note that in the case of the dielectric base, the thin-film should also generate color fringes in the transmission lobe. This is important for example when rendering soap bubbles (see [#Belcour2017]). + - The shape and color of the fringe patterns in the reflection from the film are affected by the complex IOR of the adjacent media above and below the film, which in general are a statistical mix of metal and dielectric below, and of coat and ambient medium above (to which the fuzz is index-matched). Figure [ior_configs] illustrates the eight possible different structures depending on the presence of both the film and coat, each of which leads to different Fresnel effects due to the differing IORs at the interfaces. In principle the implementation should account for all of these configurations accurately, though the precise modeling of these effects is implementation-dependent. -In the case of the metallic base the physics is somewhat ambiguous since, as described in the Metal section, the Fresnel factor for metal is defined according to the Schlick-based "F82-tint" parametrization which does not specify the underlying physical complex IOR. We suggest here that some reasonable approximation is employed to map the Fresnel factor to the best matching effective complex IOR, for example that described by [#Gulbrandsen2014]. + - The thin-film thickness is assumed to be smaller than the scale of the microfacets and the film is assumed to be smooth. With this assumption, in practice the effect is most easily incorporated directly into the Fresnel factor of the microfacet BSDFs of both the metal and dielectric-base layers (thus it is *not* represented by incorporating an explicit thin-film Slab into the model). + + - In the case of a dielectric base, the thin film should also generate color fringes in the transmission lobe. This is important, for example, when rendering soap bubbles (see [#Belcour2017]). + + - In the case of a metallic base the physics is somewhat ambiguous since, as described in the Metal section, the Fresnel factor for metal is defined according to the Schlick-based "F82-tint" parametrization, which does not specify the underlying physical complex IOR. We suggest that some reasonable approximation is employed to map the Fresnel factor to a best-matching effective complex IOR, for example that described by [#Gulbrandsen2014]. + + - Because the thin film is non-absorbing and interference-based, it only redistributes the probabilities of reflection and transmission; therefore, it should not violate energy conservation. + +![Figure [ior_configs]: Schematic of all 8 possible IOR configurations, including those involving the thin-film.](images/IOR_configs.svg width="95%" align="center")
@@ -894,8 +910,6 @@ * +-------------------------------------------------+ * ******************************************************* -The absorption of the medium $V_\mathrm{coat}$ is parametrized by **`coat_color`**, which is assumed to specify the _square_ of the transmittance $T_\mathrm{coat}$ of the coat at normal incidence (i.e. $T^2_\mathrm{coat}$ = **`coat_color`**). Thus at normal incidence, the observed tint color of the underlying base due to absorption in the coat is approximately given by **`coat_color`** due to the absorption along the incident and outgoing rays (note that the specular reflection from the coat itself is _not_ tinted). - The IOR $n_c = \mathtt{coat\_ior}$ of the coat medium $V_\mathrm{coat}$ will alter the Fresnel factor of both the coat top interface and the underlying metal or dielectric. If there is a fractional $\mathtt{coat\_weight}$ $\mathtt{C}$, then the surrounding IOR of the base dielectric or metal varies statistically across the surface depending on whether the coat is locally present (and the fuzz layer can be assumed to have the ambient IOR $n_a$). The ratio between the specular IOR $n_b = \mathtt{specular\_ior}$ and the surrounding medium can thus reasonably be approximated as \begin{equation} \label{specular_ior_ratio} \eta_s = \mathrm{lerp}(n_b/n_a, n_b/n_c, \mathtt{C}) \ . @@ -903,6 +917,19 @@ This ratio then determines the specular Fresnel factor, as in equation [modulated_ior]. (Note that as discussed in the coat [TIR](index.html#model/coat/totalinternalreflection) section, evaluation of the specular Fresnel factor may need to be further modified to model the refraction of the ray inside the coat). +The absorption of the medium $V_\mathrm{coat}$ is parametrized by **`coat_color`**, which is assumed to specify the _square_ of the transmittance of the coat at normal incidence (i.e. $T_\mathrm{coat}$ = **`coat_color`** in the notation of equation [non-reciprocal-albedo-scaling-with-T]). Thus the observed tint color of the underlying base due to absorption in the coat is approximately given by **`coat_color`** due to the absorption along the incident and outgoing rays (note that the specular reflection from the coat itself is _not_ tinted). + +In the full light transport within the coat, various physical effects [^porosity] occur which we assume are accounted for in the ground truth appearance. + + - The observed color of the coated base is darkened and saturated due to multiple internal reflections from the inside of the coat, which causes light to strike the underlying material multiple times and undergo more absorption. This effect is controlled via the **`coat_darkening`** parameter, as described in the coat Darkening section. + + - The observed **`coat_color`** tint also darkens as the incidence angle changes due to the change in path length in the medium, as described in the View-dependent absorption section. + + - The presence of a rough coat will increase the apparent roughness of the BSDF lobes of the underlying base. A recommendation for implementation of this effect is given in the coat Roughening section. + + - Care needs to be taken in the implementation to account for the refraction of the ray direction inside the coat. This is discussed in the Total internal reflection section. + +
Coat params | Label | Type | Range | Norm | Default | Description --------------------------------|------------|----------|:---------------:|:----------:|:-------------:|---------------------------------------------- @@ -918,22 +945,6 @@ ![Figure [coat]: Coat adds a secondary specular highlight and optional absorption tint](dummy) -In the full light transport, the observed color of the coated base is darkened and saturated due to multiple internal reflections from the inside of the coat, which causes light to strike the underlying material multiple times and undergo more absorption, and the observed **`coat_color`** tint also darkens as the incidence angle changes due to the change in path length in the medium. Also, the presence of a rough coat will increase the apparent roughness of the BSDF lobes of the underlying base. - -We assume that in the ground truth appearance, all these physical effects are accounted for [^porosity]. In the following sub-sections, we detail recommendations for implementation of them. - - -### Roughening - -If the coat is rough, the microfacet BSDF lobes of the underlying base substrate (metal and dielectric) are also effectively roughened. If this is not otherwise accounted for by the light transport, it can instead be reasonably approximated by directly altering the NDF of the base BSDFs. - -A formula we recommend for this is obtained by identifying the NDF of each microfacet lobe as corresponding approximately to a Gaussian in slope-space with variance given by $\alpha_t^2 + \alpha_b^2 = r^4$ (in the notation of the [Microfacet model](index.html#model/microfacetmodel) section). Modeling the effect of the roughening as the convolution of these Gaussian NDFs (and double counting the coat variance since the reflection passes through the coat boundary twice), the resulting modified roughness of the base, $r'_\mathrm{B}$, (taking into account the presence weight of the coat, $\mathtt{C}=$ **`coat_weight`**) is given by -\begin{equation} -r'_\mathrm{B} = \mathrm{lerp}\Bigl( r_\mathrm{B}, \mathrm{min} \bigl(1, r^4_\mathrm{B} + 2 r^4_\mathrm{C} \bigr)^\frac{1}{4}, \mathtt{C} \Bigr) -\end{equation} -where $r_\mathrm{B}=$ **`specular_roughness`** and $r_\mathrm{C}=$ **`coat_roughness`**. - - ### Darkening Figure [coat_darkening_grid] shows the physically-correct change in appearance (at normal incidence) of a textured diffuse base with a wood texture and smooth clear-coat as the IOR of the clear-coat is varied, exhibiting darkening of the base -- due to the internal reflections in the coat -- which increases as IOR increases. @@ -986,7 +997,7 @@ \begin{equation} \label{dielectric_roughness_estimate} r_d = \mathrm{lerp}(1, r, \xi_s F_s) \end{equation} -while the metallic roughness can be taken to be $r_m = r$. +while the metallic roughness can be taken to be $r_m = r$. (Note that in this formula for $r_d$, a clamp must be applied to ensure that $\xi_s F_s \in [0, 1]$). Given the general formula equation [general_darkening_formula] for the darkening, a reasonable approximate scheme -- assuming no other compensation is made to approximate the effect -- is to multiply the base BSDF by the uniform _modulated darkening factor_ (taking into account the presence weight $\mathtt{C}$ = **`coat_weight`** and the darkening parameter $\delta$ = **`coat_darkening`**): \begin{equation} \label{modulated_darkening_factor} @@ -1012,6 +1023,18 @@ ![Figure [coat_view_dependent_absorption_color]: The color of an absorbing coat becomes darker and more saturated at grazing angles.](images/coat_view_dependent_absorption_color.png width="75%") +### Roughening + +If the coat is rough, the microfacet BSDF lobes of the underlying base substrate (metal and dielectric) are also effectively roughened. If this is not otherwise accounted for by the light transport, it can instead be reasonably approximated by directly altering the NDF of the base BSDFs. + +A formula we recommend for this is obtained by identifying the NDF of each microfacet lobe as corresponding approximately to a Gaussian in slope-space with variance given by $\alpha_t^2 + \alpha_b^2 = r^4$ (in the notation of the [Microfacet model](index.html#model/microfacetmodel) section). Modeling the effect of the roughening as the convolution of these Gaussian NDFs (and double counting the coat variance since the reflection passes through the coat boundary twice), the resulting modified roughness of the base, $r'_\mathrm{B}$, (taking into account the presence weight of the coat, $\mathtt{C}=$ **`coat_weight`**) is given by +\begin{equation} +r'_\mathrm{B} = \mathrm{lerp}\Bigl( r_\mathrm{B}, \mathrm{min} \bigl(1, r^4_\mathrm{B} + 2 r^4_\mathrm{C} \bigr)^\frac{1}{4}, \mathtt{C} \Bigr) +\end{equation} +where $r_\mathrm{B}=$ **`specular_roughness`** and $r_\mathrm{C}=$ **`coat_roughness`**. + + + ### Total internal reflection A technical issue which can cause difficulties in the implementation of the BRDF of the coated dielectric base should also be mentioned. @@ -1087,7 +1110,7 @@ where the albedo-scaling is explicitly modified to not tint the base since the tint $\mathbf{F}$ appears only in the first term via $f_\mathrm{fuzz}$. Then accounting for the coverage weight of the fuzz layer, $\mathtt{F}$ = **`fuzz_weight`**, gives: \begin{eqnarray} -\mathrm{\mathbf{layer}}(M_\textrm{coated-base}, S_\mathrm{fuzz}, \mathtt{F}) &\rightarrow& \mathtt{F} \,f_\mathrm{fuzz} + \mathrm{lerp}\bigl(1, 1 - E_\mathrm{fuzz}, \mathtt{F}\bigr) \,f_\textrm{coated-base} \ . \label{fuzz-layering-approx} +\mathrm{\mathbf{layer}}(M_\textrm{coated-base}, S_\mathrm{fuzz}, \mathtt{F}) &\rightarrow& \mathtt{F} \,f_\mathrm{fuzz} + \bigl(1 - \mathtt{F}\,E_\mathrm{fuzz}\bigr) \,f_\textrm{coated-base} \ . \label{fuzz-layering-approx} \end{eqnarray} The fuzz shading normal is assumed to inherit from that of the substrate layer, the physical picture being that the fuzz volume settles and conforms to the geometry of the substrate. The substrate is generally a mixture of coat and uncoated base. Thus physically the fuzz model should be evaluated with each of the **`geometry_coat_normal`** and **`geometry_normal`** separately (if they differ), and the final result blended according to the **`coat_weight`**. As a practical approximation, it may be more convenient and efficient to instead approximate the fuzz normal by interpolating the coat and base normal according to **`coat_weight`**. @@ -1099,9 +1122,9 @@ **`fuzz_color`** | Color | `color3` | $ [0, 1]^3 $ | $ (1, 1, 1) $ | Reflection albedo color of $f_\mathrm{fuzz}$ **`fuzz_roughness`** | Roughness | `float` | $ [0, 1] $ | $ 0.5 $ | Reflection roughness of $f_\mathrm{fuzz}$ -![](images/fuzz1.jpg width=99%) ![](images/fuzz2.jpg width=99%) ![](images/fuzz3.jpg width=99%) +![](images/fuzz_dust_r0.25.png width=99%) ![](images/fuzz_dust_r0.5.png width=99%) ![](images/fuzz_dust_r0.75.png width=99%)
- ![Figure [fuzz]: Various textiles rendered using fuzz.](dummy) + ![Figure [fuzz]: Varying the **`fuzz_roughness`** over 0.25, 0.5 (default), 0.75.](dummy)
@@ -1160,7 +1183,7 @@ * +- - - - - - - - - - - - - - - - - -+ +- - - - - - - - - - - - + - - - - - - - - - - - -+ * **************************************************************************************************** -Note that in the case of a non-thin-walled material, $\mathtt{\alpha} < 1$ doesn't make strict physical sense unless the entire surface is removed, whereas in the [thin-walled case](index.html#thin-walledcase) the opacity has a clear physical interpretation as the presence weight of the wall (or "cutout" areas where $\mathtt{\alpha} = 0$) like in the leaf render below. +Note that in the case of a non-thin-walled material, $\mathtt{\alpha} < 1$ doesn't make strict physical sense unless the entire surface is removed, whereas in the [thin-walled mode](index.html#thin-walledmode) the opacity has a clear physical interpretation as the presence weight of the wall (or "cutout" areas where $\mathtt{\alpha} = 0$) like in the leaf render below. We generally leave it as an implementation detail for a renderer to determine how connections to light sources be made through the surface. However a very common approximation used by many renderers is "transparent shadows", where a straight-line connection is made to lights and the contribution of the light determined by the total transmittance along the ray, ignoring any refraction events. We give here a suggested form for this shadow ray transmittance. @@ -1198,7 +1221,7 @@ The normal and tangent are assumed to be unit vectors. Reconstruction filtering techniques such as texture filtering may cause the interpolated value to not be normalized, which can be corrected with a renormalization to reduce visible artifacts caused by this filtering. -Thin-walled case +Thin-walled mode ------------------------------------- If the **`geometry_thin_walled`** Boolean is enabled, then the surface is assumed to be in a "thin-walled" mode. @@ -1263,9 +1286,9 @@ As an example, we give here a brief derivation of a mixture model representation analogous to Autodesk Standard Surface, from the stated material structure of OpenPBR. Following Autodesk Standard Surface, we assume here that layering is implemented via the non-reciprocal albedo-scaling of equation [non-reciprocal-albedo-scaling]. This derivation also informs how we implement our MaterialX [reference implementation](reference/open_pbr_surface.mtlx). -### Non-thin-walled case +### Non-thin-walled mode -Consider first the non-thin-walled case (i.e. **`geometry_thin_walled`** is false). +Consider first the default non-thin-walled mode (i.e. **`geometry_thin_walled`** is false). For brevity, in the following we suppress all the direction arguments, and use the notation of the tree diagram in the Model section for the weight factors i.e.: \begin{eqnarray} \mathtt{\alpha} &=& \mathtt{geometry\_opacity} \nonumber \\ @@ -1300,7 +1323,7 @@ Here the substrate lobes $\color{darkblue}{f^T_\textrm{specular}}$ and $\color{darkblue}{f_\textrm{SSS}}$ are technically BSSRDFs, which model the entry into the internal medium via the dielectric interface, transport of light from entry point to exit points including absorption and scattering processes, and exit from the medium back though the interface, generating both a reflection and transmission component. [^BSDF_BSSRDF_sum] The "specular" BTDF/BSSRDF $\color{darkblue}{f^T_\textrm{specular}}$ corresponds to transmission into the medium parametrized in the Translucent base section, and BSSRDF $\color{darkblue}{f_\textrm{SSS}}$ corresponds to transmission into the medium parametrized in the Subsurface section. In the case of $f_\textrm{glossy-diffuse}$, the BSSRDF degenerates into the BRDF $\color{darkblue}{f_\mathrm{diffuse}}$ as described in the Glossy-diffuse section. -Note that in this albedo-scaling approximation, the transmission Fresnel factor associated with $\color{darkblue}{f^T_\textrm{specular}}$ and $f_\textrm{SSS}$ can be *omitted* as the energy conservation of the dielectric BSDF as a whole is maintained automatically, even without explicit multiple scattering compensation or in the presence of modifications to the reflection Fresnel factor via **`specular_color`**. +Note that in this albedo-scaling approximation, the transmission Fresnel factor associated with $\color{darkblue}{f^T_\textrm{specular}}$ and $\color{darkblue}{f_\textrm{SSS}}$ can be *omitted* as the energy conservation of the dielectric BSDF as a whole is maintained automatically, even without explicit multiple scattering compensation or in the presence of modifications to the reflection Fresnel factor via **`specular_color`**. Since $\color{darkblue}{f^R_\textrm{specular}}$ appears in each of the three component slabs of the dielectric base, it follows that on collecting terms, $f_\textrm{dielectric-base}$ reduces to: @@ -1371,9 +1394,9 @@ | Diffuse reflection | $\color{darkblue}{f_\mathrm{diffuse}}$ | diffuse BRDF | as in the Glossy-diffuse section | -### Thin-walled case +### Thin-walled mode -In the thin walled case (i.e. when **`geometry_thin_walled`** is true), we will assume the approximation described in the Thin-walled case section where the coat and fuzz are ignored on the underside, and the surface always flipped to so that incident rays enter top-down. Then the derivation is the same as above except the translucent-base and subsurface slabs behave differently: +In the [thin-walled mode](index.html#model/thin-walledmode) (i.e. when **`geometry_thin_walled`** is true), the simplest approximation is to assume the coat and fuzz are ignored on the underside, and the surface always flipped so that incident rays enter top-down. Then the derivation is the same as above except the translucent-base and subsurface slabs behave differently: - The translucent-base reduces to a thin sheet of dielectric. This can just be considered the thin-wall limit of the BTDF $\color{darkblue}{f^T_\textrm{specular}}$. Note that in this limit, the reflection lobe from the dielectric $\color{darkblue}{f^R_\textrm{specular}}$ will also technically be modified due to the internal bounces in the sheet. @@ -1383,7 +1406,7 @@ ### Entering versus exiting -An aspect that has been ignored in this approximation (in the non-thin-walled case) is the different light transport for rays incident from the top or the bottom side. In reality the physical effect of the layers differs in these cases. For entering rays: +An aspect that has been ignored in this approximation (in the non-thin-walled mode) is the different light transport for rays incident from the top or the bottom side. In reality the physical effect of the layers differs in these cases. For entering rays: - The fuzz reflection is not tinted by the coat absorption. - The coat reflection is dimmed and roughened by the fuzz. @@ -1496,6 +1519,8 @@ Nicolas Wirrmann for their useful contributions. +The "shader playground" scene shown at the top of the document was authored by Nikie Monteleone. The shader ball used in various images is the Standard Shader Ball asset of [#Mazzone2023]. + References ============================================ @@ -1562,6 +1587,8 @@ [#Langlands2014]: Anders Langlands. *Physically Based Shader Design in Arnold*, ACM SIGGRAPH Talks (2014). +[#Mazzone2023]: André Mazzone and Chris Rydalch. [*Standard Shader Ball: A Modern and Feature-Rich Render Test Scene*](https://github.com/usd-wg/assets/tree/main/full_assets/StandardShaderBall), ACM SIGGRAPH Asia (2023). + [#McAuley15]: Stephen McAuley, *Rendering the World of Far Cry 4*, GDC (2015). [#McDermott2018]: Wes McDermott. [*The PBR Guide*](https://substance3d.adobe.com/tutorials/courses/the-pbr-guide-part-1), Allegorithmic white paper (2018). @@ -1576,6 +1603,8 @@ [#Polyanskiy2023]: Mikhail N. Polyanskiy. [*Refractive Index Database*](https://refractiveindex.info/) (2023). +[#Portsmouth2024]: Jamie Portsmouth, Peter Kutz and Stephen Hill. [*EON: A practical energy-preserving rough diffuse BRDF*](https://arxiv.org/abs/2410.18026) (2024). + [#Revie2011]: Donald Revie, *Implementing Fur Using Deferred Shading*, GPU Pro 2 (2011). [#Schott2023]: SCHOTT. [*Interactive Abbe Diagram*](https://www.schott.com/en-gb/interactive-abbe-diagram) (2023). @@ -1633,26 +1662,13 @@ B &=& \sigma A \ . \end{eqnarray} -[^Oren_Nayar_albedo]: The albedo of the [#Fujii2012] form of the Oren-Nayar BRDF is given by $E_\mathrm{ON}(\omega) = \rho\,\hat{E}_\mathrm{ON}(\omega)$, where -For unit $\rho$, -\begin{eqnarray} -\hat{E}_\mathrm{ON}(\omega) = A + \frac{B}{\pi} G(\omega) \ , -\end{eqnarray} -where (in spherical polars) -\begin{equation} -G(\theta) = \sin\theta \Bigl( \theta - \sin\theta \cos\theta \Bigr) + \frac{2}{3}\tan\theta \Bigl(1 - \sin^3\theta - \cos\theta\Bigr) \ . -\end{equation} -The corresponding albedo averaged over the hemisphere is given by -\begin{equation} -\langle\hat{E}_\mathrm{ON}\rangle = A + \left(\frac{2}{3} - \frac{28}{15\pi}\right) B \ . -\end{equation} - [^porosity]: In reality, coats can also darken the underlying surface due to a different mechanism where the coat modifies the Fresnel factor of the base due to the coat material filling in air gaps between granules or threads of a porous base material, which reduces the relative IORs at the internal interfaces. This occurs e.g. on adding water to sand or fabric, or adding a penetrating wood finish. We assume here that this effect explicitly does _not_ occur, at present, since we do not have enough knowledge about the properties of the underlying substance to model it. We can only safely assume that the first mechanism of darkening, i.e. internal reflections, occurs. [^avg_fresnel]: The hemispherical (or average) albedo of the Fresnel factor is defined as $E_F(\eta) \equiv 2 \int_0^1 F(\mu, \eta)\,\mu\,\mathrm{d}\mu$. This can be tabulated, or one can use the convenient analytical approximation [#d'Eon2021] (accurate to within 0.2% in the limited range $\eta \in [1,3]$): \begin{equation} E_F(\eta) \approx \ln \biggl( \frac{10893\eta - 1438.2}{-774.4\eta^2 + 10212\eta + 1} \biggr) \ . \end{equation} +(The more complicated exact formula is also provided in [#d'Eon2021], which we do not reproduce here). Values of $E_F(\eta)$ for $\eta < 1$ are related to the values for $\eta > 1$ via: \begin{equation} E_F(\eta) = 1 - \eta^2 \bigl(1 - E_F(1/\eta)\bigr) \ . diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index ddb899b1..a6e26aea 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -3,7 +3,7 @@ -