From b212785f1e35462853c7d455ae5a41f8ce71bf98 Mon Sep 17 00:00:00 2001 From: Jonathan Stone Date: Fri, 28 Jun 2024 14:05:49 -0700 Subject: [PATCH 1/7] Merge v1.1 development to main (#222) This changelist merges v1.1 development from dev_1.1 to main, in preparation for marking the release of OpenPBR v1.1. --- README.md | 6 ++++++ examples/open_pbr_default.mtlx | 8 ++++---- examples/open_pbr_velvet.mtlx | 2 +- index.html | 10 +++++----- parametrization.md.html | 4 ++-- reference/open_pbr_surface.mtlx | 15 ++++++--------- 6 files changed, 24 insertions(+), 21 deletions(-) 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) diff --git a/examples/open_pbr_default.mtlx b/examples/open_pbr_default.mtlx index 85c53791..8125541a 100644 --- a/examples/open_pbr_default.mtlx +++ b/examples/open_pbr_default.mtlx @@ -20,7 +20,7 @@ - + @@ -35,9 +35,9 @@ - - - + + + 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/index.html b/index.html index 04426758..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. @@ -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%) @@ -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%)
@@ -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. @@ -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. diff --git a/parametrization.md.html b/parametrization.md.html index eb37cb0e..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 $ | | @@ -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..8186482c 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -3,7 +3,7 @@ - @@ -69,7 +69,7 @@ doc="Coverage weight of the thin-film. Use for materials such as multi-tone car paint or soap bubbles." /> - @@ -177,16 +177,13 @@ - - - - - + + - + @@ -558,12 +555,12 @@ - + From 1be66766ca10ce993ea921ce62a5a2e7a1790ba8 Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 13 Aug 2024 17:46:39 +0100 Subject: [PATCH 2/7] WIP --- index.html | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/index.html b/index.html index c5d85792..9ca9ad48 100644 --- a/index.html +++ b/index.html @@ -512,9 +512,9 @@ **`specular_roughness_anisotropy`** | Anisotropy | `float` | $ [0, 1] $ | | $ 0 $ | Anisotropy of NDF of dielectric BSDF $f_\mathrm{dielectric}$ **`specular_ior`** | IOR | `float` | $ (0, \infty) $ | $ [1, 3] $ | $ 1.5 $ | Refractive index of $V_\mathrm{dielectric}$ -![](images/spec_ior1.png width=95%) ![](images/spec_ior2.png width=95%) ![](images/spec_ior3.png width=95%) +![](images/updated_figs/base-ior.png width=95%)
- ![Figure [specular]: Varying the **`specular_ior`** from (left to right): 1.1, 1.3, 1.5 (default)](dummy) + ![Figure [specular]: Varying the **`specular_weight`** from (left to right): 0.1, 0.5, 1.0 (default)](dummy)
@@ -689,7 +689,7 @@ **`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/updated_figs/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)
From 7ea280aef5ce1f0a5230b7568db9e50e3159119a Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Tue, 3 Sep 2024 17:06:54 +0100 Subject: [PATCH 3/7] Updating various images, adding some new ones --- 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/model_schematic2.png | Bin 0 -> 128601 bytes images/model_schematic2.svg | 1106 +++++++++++++++++++++++++++++++++ index.html | 33 +- 14 files changed, 1127 insertions(+), 12 deletions(-) create mode 100644 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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. @@ -709,7 +708,7 @@ 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). From 297d44792761d7bd57bab721231f8ad18033eb8d Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Fri, 18 Oct 2024 00:41:22 +0100 Subject: [PATCH 6/7] Add emission_weight (#231) Implements the change described in #229. --- examples/open_pbr_lightbulb.mtlx | 1 + index.html | 9 +++++---- parametrization.md.html | 3 ++- reference/open_pbr_surface.mtlx | 12 +++++++++--- 4 files changed, 17 insertions(+), 8 deletions(-) diff --git a/examples/open_pbr_lightbulb.mtlx b/examples/open_pbr_lightbulb.mtlx index 39fa490b..284d7eec 100644 --- a/examples/open_pbr_lightbulb.mtlx +++ b/examples/open_pbr_lightbulb.mtlx @@ -4,6 +4,7 @@ + diff --git a/index.html b/index.html index e190f211..8af066d5 100644 --- a/index.html +++ b/index.html @@ -1133,17 +1133,18 @@ * +-------------------------------------------------+ * ******************************************************* -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). +The intensity of the EDF is controlled by a luminance value with color and weight multipliers. The color and weight act as multipliers, i.e. the HDR emission in the model color space is defined to have a color given by **`emission_weight`** * **`emission_color`** * **`emission_luminance`**. The **`emission_luminance`** parameter thus refers to the luminance the emissive layer would have when the color is white and weight is 1, and in the absence of coat and fuzz. Thus the final resulting luminance may be less than the input parameter, or even zero if the color or weight are zeroed. 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. -Being an intensity, **`emission_luminance`** can be any value greater than or equal to zero. For convenience, we make the soft range $[0, 1000]$, corresponding to the typical range of home appliances. +Being an intensity, **`emission_luminance`** can be any value greater than or equal to zero. For convenience, we make the soft range $[0, 1000]$, corresponding to the typical range of home appliances. (Note that if the renderer does not deal with photometric units internally, a scale factor may need to be applied to bring the emission into a sensible range). Emission params | Label | Type | Range | Norm | Default | Description -------------------------|-----------|----------|:---------------:|:-------------:|:-------------:|---------------------------------------------- -**`emission_luminance`** | Luminance | `float` | $ [0, \infty) $ | $ [0, 1000] $ | $ 0 $ | Emission luminance, in cd/m^2 (aka. nits) -**`emission_color`** | Color | `color3` | $ [0, 1]^3 $ | | $ (1, 1, 1) $ | Emission color multiplier +**`emission_weight`** | Weight | `float` | $ [0, 1] $ | | $ 0 $ | Emission weight luminance multiplier +**`emission_luminance`** | Luminance | `float` | $ [0, \infty) $ | $ [0, 1000] $ | $ 1000 $ | Emission luminance, in cd/m^2 (aka. nits) +**`emission_color`** | Color | `color3` | $ [0, 1]^3 $ | | $ (1, 1, 1) $ | Emission color luminance multiplier ![](images/emitting_lava.png width=90% align=left) ![](images/emission_under_coat.png width=90% align=right)
diff --git a/parametrization.md.html b/parametrization.md.html index 73515975..1bcf38b3 100644 --- a/parametrization.md.html +++ b/parametrization.md.html @@ -58,7 +58,8 @@ | `fuzz_color` | Color | `color3` | $ [0, 1]^3 $ | | $ (1, 1, 1) $ | | | `fuzz_roughness` | Roughness | `float` | $ [0, 1] $ | | $ 0.5 $ | | | **Emission** | -| `emission_luminance` | Luminance | `float` | $ [0, \infty) $ | $ [0, 1000] $ | $ 0 $ | nits | +| `emission_weight` | Weight | `float` | $ [0, 1] $ | | $ 0 $ | | +| `emission_luminance` | Luminance | `float` | $ [0, \infty) $ | $ [0, 1000] $ | $ 1000 $ | nits | | `emission_color` | Color | `color3` | $ [0, 1]^3 $ | | $ (1, 1, 1) $ | | | **Thin-film** | | `thin_film_weight` | Weight | `float` | $ [0, 1] $ | | $ 0 $ | | diff --git a/reference/open_pbr_surface.mtlx b/reference/open_pbr_surface.mtlx index 8186482c..3707f147 100644 --- a/reference/open_pbr_surface.mtlx +++ b/reference/open_pbr_surface.mtlx @@ -71,6 +71,8 @@ doc="The thickness of the thin-film layer on the base (in micrometers)." /> + - - + + + + + + - + From 878a7e6b2eb15c1c6ae9fa768643b1a7199d98b5 Mon Sep 17 00:00:00 2001 From: Jamie Portsmouth Date: Thu, 7 Nov 2024 22:52:07 +0000 Subject: [PATCH 7/7] Add clamp of metal Fresnel to allow for specular_weight > 1 (#238) Rather than eliminating the `specular_weight` > 1 case (as proposed in #228), we discussed keeping this but fixing up the metal logic to ensure the Fresnel remains bounded. This makes the corresponding change needed in the spec. (Note that now the `specular_weight` parameter consistently, for both metal and dielectric, has soft-range $[0,1]$ and full range $[0, \infty]$). It would be good to double check that the behaviour of the metal looks reasonable for high `specular_weight` values (presumably, similar to the dielectric where the Fresnel saturates). --- index.html | 25 ++++++++++++++----------- 1 file changed, 14 insertions(+), 11 deletions(-) diff --git a/index.html b/index.html index 8af066d5..f201c001 100644 --- a/index.html +++ b/index.html @@ -552,21 +552,22 @@ \begin{equation} \mathbf{F}(\bar{\mu}) = \mathtt{specular\_color} * \mathbf{F}_\mathrm{Schlick}(\bar{\mu}) \ . \end{equation} -The final metallic Fresnel term we employ is then given by an overall multiplication by **`specular_weight`**, ensuring that entire metallic lobe is suppressed as the weight goes to zero: + +The final metallic Fresnel term we employ is then given by an overall multiplication by $\xi_s = \mathtt{specular\_weight}$, ensuring that the entire metallic lobe is suppressed as the weight goes to zero. Similarly to the dielectric, the weight may also exceed one in order to linearly boost the Fresnel, with a clamp put in place to ensure that it remains bounded in $[0,1]$ as $\xi_s \rightarrow \infty$: [^component_wise] \begin{equation} -\mathbf{F}_{\mathrm{metal}}(\mu) = \mathtt{specular\_weight} * \mathbf{F}_{82}(\mu) \ . +\mathbf{F}_{\mathrm{metal}}(\mu) = \mathrm{min}\bigl(1, \,\xi_s \mathbf{F}_{82}(\mu)\bigr) \ . \end{equation} This formulation has the useful property that it reduces to the regular Schlick reflectivity at the default values of **`specular_weight`** and **`specular_color`**. Note that the edge cannot be brighter than the standard Schlick term, but this is generally true in real metals. We consider this a benefit of this parametrization, as it makes it impossible to produce physically implausible metals with excessively bright edges. -Metal params | Label | Type | Range | Default | Description -------------------------------------|------------|----------|:------------:|:-------------------:|---------------------------------------------- -**`base_weight`** | Weight | `float` | $ [0, 1] $ | $ 1 $ | Scalar multiplier to **`base_color`** -**`base_color`** | Color | `color3` | $ [0, 1]^3 $ | $ (0.8, 0.8, 0.8) $ | Color of Fresnel reflection albedo at normal incidence, $\mathbf{F}_0$ -**`specular_weight`** | Weight | `float` | $ [0, 1] $ | $ 1 $ | Overall multiplier of the metallic Fresnel -**`specular_color`** | Color | `color3` | $ [0, 1]^3 $ | $ (1, 1, 1) $ | Tint color of metallic Fresnel reflection albedo at near-grazing incidence (i.e. around silhouettes) -**`specular_roughness`** | Roughness | `float` | $ [0, 1] $ | $ 0.3 $ | Roughness of NDF of conductor BRDF $f_\mathrm{conductor}$ -**`specular_roughness_anisotropy`** | Anisotropy | `float` | $ [0, 1] $ | $ 0 $ | Anisotropy of NDF of conductor BRDF $f_\mathrm{conductor}$ +Metal params | Label | Type | Range | Norm | Default | Description +------------------------------------|------------|----------|:---------------:|:-------------:|:-------------------:|---------------------------------------------- +**`base_weight`** | Weight | `float` | $ [0, 1] $ | | $ 1 $ | Scalar multiplier to **`base_color`** +**`base_color`** | Color | `color3` | $ [0, 1]^3 $ | | $ (0.8, 0.8, 0.8) $ | Color of Fresnel reflection albedo at normal incidence, $\mathbf{F}_0$ +**`specular_weight`** | Weight | `float` | $ [0, \infty) $ | $ [0, 1] $ | $ 1 $ | Overall multiplier of the metal Fresnel +**`specular_color`** | Color | `color3` | $ [0, 1]^3 $ | | $ (1, 1, 1) $ | Tint color of metallic Fresnel reflection albedo at near-grazing incidence (i.e. around silhouettes) +**`specular_roughness`** | Roughness | `float` | $ [0, 1] $ | | $ 0.3 $ | Roughness of NDF of BRDF $f_\mathrm{conductor}$ +**`specular_roughness_anisotropy`** | Anisotropy | `float` | $ [0, 1] $ | | $ 0 $ | Anisotropy of NDF of BRDF $f_\mathrm{conductor}$ ![](images/metal_with_default_edge_tint.png width=90% align=right) ![](images/metal_with_correct_edge_tint.png width=90% align=left) @@ -792,7 +793,7 @@ \begin{equation} \boldsymbol{\mu}_a = \boldsymbol{\mu}_t - \boldsymbol{\mu}_s \ . \end{equation} -If any component of $\boldsymbol{\mu}_a$ is negative, then $\boldsymbol{\mu}_a$ is shifted by enough gray to make all the components positive, i.e. (in an obvious notation): +If any component of $\boldsymbol{\mu}_a$ is negative, then $\boldsymbol{\mu}_a$ is shifted by enough gray to make all the components positive, i.e.: [^component_wise] \begin{eqnarray} && \mathrm{if \;\; min(\boldsymbol{\mu}_a)} < 0 \nonumber \\ && \quad\quad \boldsymbol{\mu}_a \leftarrow \boldsymbol{\mu}_a - \mathrm{min}(\boldsymbol{\mu}_a) \ . @@ -1599,6 +1600,8 @@ [^anisotropy_g]: Technically, $g$ is the _mean cosine of deflection_ of the phase function, which is not specific to the Henyey--Greenstein phase function model [#d'Eon2021]. +[^component_wise]: Note that in this concise notation, the scalar denotes a constant vector. + [^Oren_Nayar_formula]: The $s$ term is given by (with normal $\mathbf{n}$): \begin{eqnarray*} s = \omega_i \cdot \omega_o - (\mathbf{n} \cdot \omega_i) (\mathbf{n} \cdot \omega_o) \nonumber = \cos(\phi_i-\phi_o) \,\sin\theta_i \,\sin\theta_o