From abf849e6e18e3e96ef3853af2c71c13988c9a2ae Mon Sep 17 00:00:00 2001 From: Emmett Lalish Date: Fri, 15 Mar 2024 16:09:01 -0700 Subject: [PATCH] Make Khronos PBR Neutral invertable (#4716) * verified inverse * update Khronos PBR Neutral tone mapper * update docs --- .../src/three-components/Renderer.ts | 2 +- .../modelviewer.dev/examples/lut-writer.mjs | 82 +- .../modelviewer.dev/examples/pbrNeutral.cube | 335234 +++++++-------- .../examples/tone-mapping.html | 6 +- 4 files changed, 167689 insertions(+), 167635 deletions(-) diff --git a/packages/model-viewer/src/three-components/Renderer.ts b/packages/model-viewer/src/three-components/Renderer.ts index 5bc21e6182..0bfc1914c3 100644 --- a/packages/model-viewer/src/three-components/Renderer.ts +++ b/packages/model-viewer/src/three-components/Renderer.ts @@ -158,7 +158,7 @@ export class Renderer extends color *= newPeak / peak; float g = 1. - 1. / (desaturation * (peak - newPeak) + 1.); - return mix(color, vec3(1, 1, 1), g); + return mix(color, newPeak * vec3(1, 1, 1), g); }`); try { diff --git a/packages/modelviewer.dev/examples/lut-writer.mjs b/packages/modelviewer.dev/examples/lut-writer.mjs index 6c80b44834..d392290693 100644 --- a/packages/modelviewer.dev/examples/lut-writer.mjs +++ b/packages/modelviewer.dev/examples/lut-writer.mjs @@ -45,19 +45,15 @@ function inverseLog(x) { return Math.pow(2, log2); } -function rgb2string(r, g, b) { - return `${round(r)} ${round(g)} ${round(b)}`; +function rgb2string(rgb) { + return `${round(rgb.R)} ${round(rgb.G)} ${round(rgb.B)}`; } -function pbrNeutral(r, g, b) { +function pbrNeutral(rgb) { const startCompression = 0.8 - 0.04; const desaturation = 0.15; - // invert the lg2 transform in the OCIO config - used to more evenly-space the - // LUT points - let R = inverseLog(r); - let G = inverseLog(g); - let B = inverseLog(b); + let {R, G, B} = rgb; const x = Math.min(R, G, B); const offset = x < 0.08 ? x - 6.25 * x * x : 0.04; @@ -67,7 +63,7 @@ function pbrNeutral(r, g, b) { const peak = Math.max(R, G, B); if (peak < startCompression) { - return rgb2string(R, G, B); + return {R, G, B}; } const d = 1 - startCompression; @@ -77,20 +73,76 @@ function pbrNeutral(r, g, b) { G *= scale; B *= scale; - const f = 1 - 1 / (desaturation * (peak - newPeak) + 1); - R = (1 - f) * R + f; - G = (1 - f) * G + f; - B = (1 - f) * B + f; - return rgb2string(R, G, B); + const f = 1 / (desaturation * (peak - newPeak) + 1); + R = f * R + (1 - f) * newPeak; + G = f * G + (1 - f) * newPeak; + B = f * B + (1 - f) * newPeak; + + return {R, G, B}; } +function inverseNeutral(rgb) { + const startCompression = 0.8 - 0.04; + const desaturation = 0.15; + + let {R, G, B} = rgb; + + const peak = Math.max(R, G, B); + if (peak > startCompression) { + const d = 1 - startCompression; + const oldPeak = d * d / (1 - peak) - d + startCompression; + const fInv = desaturation * (oldPeak - peak) + 1; + const f = 1 / fInv; + R = (R + (f - 1) * peak) * fInv; + G = (G + (f - 1) * peak) * fInv; + B = (B + (f - 1) * peak) * fInv; + const scale = oldPeak / peak; + R *= scale; + G *= scale; + B *= scale; + } + + const y = Math.min(R, G, B); + let offset = 0.04; + if (y < 0.04) { + const x = Math.sqrt(y / 6.25); + offset = x - 6.25 * x * x; + } + R += offset; + G += offset; + B += offset; + + return {R, G, B}; +} + +function relativeError(rgbBase, rgbCheck) { + const {R, G, B} = rgbBase; + const dR = rgbCheck.R - R; + const dG = rgbCheck.G - G; + const dB = rgbCheck.B - B; + const dMag = Math.sqrt(dR * dR + dG * dG + dB * dB); + const dBase = Math.max(Math.sqrt(R * R + G * G + B * B), 1e-20); + return dMag / dBase; +} + +let maxError = 0; for (let b = 0; b < size; ++b) { for (let g = 0; g < size; ++g) { for (let r = 0; r < size; ++r) { - text.push(pbrNeutral(r, g, b)); + // invert the lg2 transform in the OCIO config - used to more evenly-space + // the LUT points + const rgbIn = {R: inverseLog(r), G: inverseLog(g), B: inverseLog(b)}; + const rgbOut = pbrNeutral(rgbIn); + text.push(rgb2string(rgbOut)); + // verify inverse + const rgbIn2 = inverseNeutral(rgbOut); + const error = relativeError(rgbIn, rgbIn2); + maxError = Math.max(maxError, error); } } } text.push(''); +console.log('Maximum relative error of inverse = ', maxError); + fs.writeFileSync('pbrNeutral.cube', text.join('\n')); \ No newline at end of file diff --git a/packages/modelviewer.dev/examples/pbrNeutral.cube b/packages/modelviewer.dev/examples/pbrNeutral.cube index 1bfa6c7bc9..82ed019e23 100644 --- a/packages/modelviewer.dev/examples/pbrNeutral.cube +++ b/packages/modelviewer.dev/examples/pbrNeutral.cube @@ -29,37 +29,37 @@ LUT_3D_SIZE 57 0.4344249 0.0000238 0.0000238 0.5501155 0.0000238 0.0000238 0.6964791 0.0000238 0.0000238 -0.8417008 0.006123 0.006123 -0.9063281 0.0309189 0.0309189 -0.9397556 0.066766 0.066766 -0.9595936 0.111046 0.111046 -0.9723052 0.1626281 0.1626281 -0.9808276 0.2205517 0.2205517 -0.9866936 0.2836369 0.2836369 -0.9907871 0.3503797 0.3503797 -0.9936578 0.4189934 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Khronos PBR Neutral tone mapper

metals, as they physically color the light they reflect, but perceptually that color is lost when it is sufficiently bright. I accomplish this by taking a convex combination of the compressed color and white, only in the - nonlinear compression region.

+ nonlinear compression region. In fact, "white" is slightly darkened in order + to maintain constant brightness with the compressed color, which makes this + tone mapper easily invertible.

The convex parameter function I chose is another 1/x, this time based on the amount of brightness removed in the compression step, which ensures it @@ -450,7 +452,7 @@

Khronos PBR Neutral tone mapper

color *= newPeak / peak; float g = 1. - 1. / (desaturation * (peak - newPeak) + 1.); - return mix(color, vec3(1, 1, 1), g); + return mix(color, newPeak * vec3(1, 1, 1), g); }