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Use cell-centered samples for the Z (or R) coordinates

/RenderPassXR_Sandbox
Evgenii Golubev 8 年前
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3d0666f6
共有 2 个文件被更改，包括 208 次插入 和 206 次删除
  1. 8
      Assets/ScriptableRenderPipeline/HDRenderPipeline/Material/Lit/SubsurfaceScatteringProfile.cs
  2. 406
      Assets/ScriptableRenderPipeline/ShaderLibrary/Fibonacci.hlsl

8
Assets/ScriptableRenderPipeline/HDRenderPipeline/Material/Lit/SubsurfaceScatteringProfile.cs
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// ------------------------------------------------------------------------------------
// Importance sample the near field kernel.
for (int i = 0; i < SssConstants.SSS_N_SAMPLES_NEAR_FIELD; i++)
for (int i = 0, n = SssConstants.SSS_N_SAMPLES_NEAR_FIELD; i < n; i++)
float p = i * (1.0f / SssConstants.SSS_N_SAMPLES_NEAR_FIELD);
float p = (i + 0.5f) * (1.0f / n);
float r = KernelCdfInverse(p, s);
// N.b.: computation of normalized weights, and multiplication by the surface albedo

m_MaxRadius = m_FilterKernelNearField[SssConstants.SSS_N_SAMPLES_NEAR_FIELD - 1].x;
// Importance sample the far field kernel.
for (int i = 0; i < SssConstants.SSS_N_SAMPLES_FAR_FIELD; i++)
for (int i = 0, n = SssConstants.SSS_N_SAMPLES_FAR_FIELD; i < n; i++)
float p = i * (1.0f / SssConstants.SSS_N_SAMPLES_FAR_FIELD);
float p = (i + 0.5f) * (1.0f / n);
float r = KernelCdfInverse(p, s);
// N.b.: computation of normalized weights, and multiplication by the surface albedo

406
Assets/ScriptableRenderPipeline/ShaderLibrary/Fibonacci.hlsl
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// Computes a point using the Fibonacci sequence of length N.
// Input: Fib[N - 1], Fib[N - 2], and the index 'i' of the point.
// Ref: Integration of nonperiodic functions of two variables by Fibonacci lattice rules
// Ref: Efficient Quadrature Rules for Illumination Integrals
return float2(i / fibN1, frac(i * (fibN2 / fibN1)));
// N.b.: According to Swinbank and Pusser [SP06], the uniformity of the distribution
// can be slightly improved by introducing an offset of 1/N to the Z (or R) coordinates.
return float2(i / fibN1 + (0.5f / fibN1), frac(i * (fibN2 / fibN1)));
}
static const int k_FibonacciSeq[] = {

static const float2 k_Fibonacci2dSeq21[] = {
float2(0.00000000, 0.00000000),
float2(0.04761905, 0.61904764),
float2(0.09523810, 0.23809528),
float2(0.14285715, 0.85714293),
float2(0.19047619, 0.47619057),
float2(0.23809524, 0.09523821),
float2(0.28571430, 0.71428585),
float2(0.33333334, 0.33333349),
float2(0.38095239, 0.95238113),
float2(0.42857143, 0.57142878),
float2(0.47619048, 0.19047642),
float2(0.52380955, 0.80952406),
float2(0.57142860, 0.42857170),
float2(0.61904764, 0.04761887),
float2(0.66666669, 0.66666698),
float2(0.71428573, 0.28571510),
float2(0.76190478, 0.90476227),
float2(0.80952382, 0.52380943),
float2(0.85714287, 0.14285755),
float2(0.90476191, 0.76190567),
float2(0.95238096, 0.38095284)
float2(0.02380952, 0.00000000),
float2(0.07142857, 0.61904764),
float2(0.11904762, 0.23809528),
float2(0.16666667, 0.85714293),
float2(0.21428572, 0.47619057),
float2(0.26190478, 0.09523821),
float2(0.30952382, 0.71428585),
float2(0.35714287, 0.33333349),
float2(0.40476191, 0.95238113),
float2(0.45238096, 0.57142878),
float2(0.50000000, 0.19047642),
float2(0.54761904, 0.80952406),
float2(0.59523809, 0.42857170),
float2(0.64285713, 0.04761887),
float2(0.69047618, 0.66666698),
float2(0.73809522, 0.28571510),
float2(0.78571427, 0.90476227),
float2(0.83333331, 0.52380943),
float2(0.88095236, 0.14285755),
float2(0.92857140, 0.76190567),
float2(0.97619045, 0.38095284)
float2(0.00000000, 0.00000000),
float2(0.02941176, 0.61764705),
float2(0.05882353, 0.23529410),
float2(0.08823530, 0.85294116),
float2(0.11764706, 0.47058821),
float2(0.14705883, 0.08823538),
float2(0.17647059, 0.70588231),
float2(0.20588236, 0.32352924),
float2(0.23529412, 0.94117641),
float2(0.26470590, 0.55882359),
float2(0.29411766, 0.17647076),
float2(0.32352942, 0.79411745),
float2(0.35294119, 0.41176462),
float2(0.38235295, 0.02941132),
float2(0.41176471, 0.64705849),
float2(0.44117647, 0.26470566),
float2(0.47058824, 0.88235283),
float2(0.50000000, 0.50000000),
float2(0.52941179, 0.11764717),
float2(0.55882353, 0.73529434),
float2(0.58823532, 0.35294151),
float2(0.61764705, 0.97058773),
float2(0.64705884, 0.58823490),
float2(0.67647058, 0.20588207),
float2(0.70588237, 0.82352924),
float2(0.73529410, 0.44117641),
float2(0.76470590, 0.05882263),
float2(0.79411763, 0.67646980),
float2(0.82352942, 0.29411697),
float2(0.85294116, 0.91176414),
float2(0.88235295, 0.52941132),
float2(0.91176468, 0.14705849),
float2(0.94117647, 0.76470566),
float2(0.97058821, 0.38235283)
float2(0.01470588, 0.00000000),
float2(0.04411765, 0.61764705),
float2(0.07352941, 0.23529410),
float2(0.10294118, 0.85294116),
float2(0.13235295, 0.47058821),
float2(0.16176471, 0.08823538),
float2(0.19117647, 0.70588231),
float2(0.22058824, 0.32352924),
float2(0.25000000, 0.94117641),
float2(0.27941176, 0.55882359),
float2(0.30882353, 0.17647076),
float2(0.33823529, 0.79411745),
float2(0.36764705, 0.41176462),
float2(0.39705881, 0.02941132),
float2(0.42647058, 0.64705849),
float2(0.45588234, 0.26470566),
float2(0.48529410, 0.88235283),
float2(0.51470590, 0.50000000),
float2(0.54411763, 0.11764717),
float2(0.57352942, 0.73529434),
float2(0.60294116, 0.35294151),
float2(0.63235295, 0.97058773),
float2(0.66176468, 0.58823490),
float2(0.69117647, 0.20588207),
float2(0.72058821, 0.82352924),
float2(0.75000000, 0.44117641),
float2(0.77941179, 0.05882263),
float2(0.80882353, 0.67646980),
float2(0.83823532, 0.29411697),
float2(0.86764705, 0.91176414),
float2(0.89705884, 0.52941132),
float2(0.92647058, 0.14705849),
float2(0.95588237, 0.76470566),
float2(0.98529410, 0.38235283)
float2(0.00000000, 0.00000000),
float2(0.01818182, 0.61818182),
float2(0.03636364, 0.23636365),
float2(0.05454545, 0.85454547),
float2(0.07272727, 0.47272730),
float2(0.09090909, 0.09090900),
float2(0.10909091, 0.70909095),
float2(0.12727273, 0.32727289),
float2(0.14545454, 0.94545460),
float2(0.16363636, 0.56363630),
float2(0.18181819, 0.18181801),
float2(0.20000000, 0.80000019),
float2(0.21818182, 0.41818190),
float2(0.23636363, 0.03636360),
float2(0.25454545, 0.65454578),
float2(0.27272728, 0.27272701),
float2(0.29090908, 0.89090919),
float2(0.30909091, 0.50909138),
float2(0.32727271, 0.12727261),
float2(0.34545454, 0.74545479),
float2(0.36363637, 0.36363602),
float2(0.38181818, 0.98181820),
float2(0.40000001, 0.60000038),
float2(0.41818181, 0.21818161),
float2(0.43636364, 0.83636379),
float2(0.45454547, 0.45454597),
float2(0.47272727, 0.07272720),
float2(0.49090910, 0.69090843),
float2(0.50909090, 0.30909157),
float2(0.52727270, 0.92727280),
float2(0.54545456, 0.54545403),
float2(0.56363636, 0.16363716),
float2(0.58181816, 0.78181839),
float2(0.60000002, 0.39999962),
float2(0.61818182, 0.01818275),
float2(0.63636363, 0.63636398),
float2(0.65454543, 0.25454521),
float2(0.67272729, 0.87272835),
float2(0.69090909, 0.49090958),
float2(0.70909089, 0.10909081),
float2(0.72727275, 0.72727203),
float2(0.74545455, 0.34545517),
float2(0.76363635, 0.96363640),
float2(0.78181821, 0.58181763),
float2(0.80000001, 0.20000076),
float2(0.81818181, 0.81818199),
float2(0.83636361, 0.43636322),
float2(0.85454547, 0.05454636),
float2(0.87272727, 0.67272758),
float2(0.89090908, 0.29090881),
float2(0.90909094, 0.90909195),
float2(0.92727274, 0.52727318),
float2(0.94545454, 0.14545441),
float2(0.96363634, 0.76363754),
float2(0.98181820, 0.38181686)
float2(0.00909091, 0.00000000),
float2(0.02727273, 0.61818182),
float2(0.04545455, 0.23636365),
float2(0.06363636, 0.85454547),
float2(0.08181818, 0.47272730),
float2(0.10000000, 0.09090900),
float2(0.11818182, 0.70909095),
float2(0.13636364, 0.32727289),
float2(0.15454546, 0.94545460),
float2(0.17272727, 0.56363630),
float2(0.19090909, 0.18181801),
float2(0.20909090, 0.80000019),
float2(0.22727273, 0.41818190),
float2(0.24545455, 0.03636360),
float2(0.26363635, 0.65454578),
float2(0.28181818, 0.27272701),
float2(0.30000001, 0.89090919),
float2(0.31818181, 0.50909138),
float2(0.33636364, 0.12727261),
float2(0.35454544, 0.74545479),
float2(0.37272727, 0.36363602),
float2(0.39090911, 0.98181820),
float2(0.40909091, 0.60000038),
float2(0.42727274, 0.21818161),
float2(0.44545454, 0.83636379),
float2(0.46363637, 0.45454597),
float2(0.48181817, 0.07272720),
float2(0.50000000, 0.69090843),
float2(0.51818180, 0.30909157),
float2(0.53636366, 0.92727280),
float2(0.55454546, 0.54545403),
float2(0.57272726, 0.16363716),
float2(0.59090906, 0.78181839),
float2(0.60909092, 0.39999962),
float2(0.62727273, 0.01818275),
float2(0.64545453, 0.63636398),
float2(0.66363639, 0.25454521),
float2(0.68181819, 0.87272835),
float2(0.69999999, 0.49090958),
float2(0.71818179, 0.10909081),
float2(0.73636365, 0.72727203),
float2(0.75454545, 0.34545517),
float2(0.77272725, 0.96363640),
float2(0.79090911, 0.58181763),
float2(0.80909091, 0.20000076),
float2(0.82727271, 0.81818199),
float2(0.84545457, 0.43636322),
float2(0.86363637, 0.05454636),
float2(0.88181818, 0.67272758),
float2(0.89999998, 0.29090881),
float2(0.91818184, 0.90909195),
float2(0.93636364, 0.52727318),
float2(0.95454544, 0.14545441),
float2(0.97272730, 0.76363754),
float2(0.99090910, 0.38181686)
float2(0.00000000, 0.00000000),
float2(0.01123596, 0.61797750),
float2(0.02247191, 0.23595500),
float2(0.03370786, 0.85393250),
float2(0.04494382, 0.47191000),
float2(0.05617978, 0.08988762),
float2(0.06741573, 0.70786500),
float2(0.07865169, 0.32584238),
float2(0.08988764, 0.94382000),
float2(0.10112359, 0.56179762),
float2(0.11235955, 0.17977524),
float2(0.12359551, 0.79775238),
float2(0.13483146, 0.41573000),
float2(0.14606741, 0.03370762),
float2(0.15730338, 0.65168476),
float2(0.16853933, 0.26966286),
float2(0.17977528, 0.88764000),
float2(0.19101124, 0.50561714),
float2(0.20224719, 0.12359524),
float2(0.21348314, 0.74157238),
float2(0.22471911, 0.35955048),
float2(0.23595506, 0.97752762),
float2(0.24719101, 0.59550476),
float2(0.25842696, 0.21348286),
float2(0.26966292, 0.83146000),
float2(0.28089887, 0.44943714),
float2(0.29213482, 0.06741524),
float2(0.30337077, 0.68539238),
float2(0.31460676, 0.30336952),
float2(0.32584271, 0.92134666),
float2(0.33707866, 0.53932571),
float2(0.34831461, 0.15730286),
float2(0.35955057, 0.77528000),
float2(0.37078652, 0.39325714),
float2(0.38202247, 0.01123428),
float2(0.39325842, 0.62921333),
float2(0.40449437, 0.24719048),
float2(0.41573033, 0.86516762),
float2(0.42696628, 0.48314476),
float2(0.43820226, 0.10112190),
float2(0.44943821, 0.71910095),
float2(0.46067417, 0.33707809),
float2(0.47191012, 0.95505524),
float2(0.48314607, 0.57303238),
float2(0.49438202, 0.19100952),
float2(0.50561798, 0.80898666),
float2(0.51685393, 0.42696571),
float2(0.52808988, 0.04494286),
float2(0.53932583, 0.66292000),
float2(0.55056179, 0.28089714),
float2(0.56179774, 0.89887428),
float2(0.57303369, 0.51685333),
float2(0.58426964, 0.13483047),
float2(0.59550560, 0.75280762),
float2(0.60674155, 0.37078476),
float2(0.61797750, 0.98876190),
float2(0.62921351, 0.60673904),
float2(0.64044946, 0.22471619),
float2(0.65168542, 0.84269333),
float2(0.66292137, 0.46067429),
float2(0.67415732, 0.07865143),
float2(0.68539327, 0.69662857),
float2(0.69662923, 0.31460571),
float2(0.70786518, 0.93258286),
float2(0.71910113, 0.55056000),
float2(0.73033708, 0.16853714),
float2(0.74157304, 0.78651428),
float2(0.75280899, 0.40449142),
float2(0.76404494, 0.02246857),
float2(0.77528089, 0.64044571),
float2(0.78651685, 0.25842667),
float2(0.79775280, 0.87640381),
float2(0.80898875, 0.49438095),
float2(0.82022470, 0.11235809),
float2(0.83146065, 0.73033524),
float2(0.84269661, 0.34831238),
float2(0.85393256, 0.96628952),
float2(0.86516851, 0.58426666),
float2(0.87640452, 0.20224380),
float2(0.88764048, 0.82022095),
float2(0.89887643, 0.43820190),
float2(0.91011238, 0.05617905),
float2(0.92134833, 0.67415619),
float2(0.93258429, 0.29213333),
float2(0.94382024, 0.91011047),
float2(0.95505619, 0.52808762),
float2(0.96629214, 0.14606476),
float2(0.97752810, 0.76404190),
float2(0.98876405, 0.38201904)
float2(0.00561798, 0.00000000),
float2(0.01685393, 0.61797750),
float2(0.02808989, 0.23595500),
float2(0.03932584, 0.85393250),
float2(0.05056180, 0.47191000),
float2(0.06179775, 0.08988762),
float2(0.07303371, 0.70786500),
float2(0.08426967, 0.32584238),
float2(0.09550562, 0.94382000),
float2(0.10674157, 0.56179762),
float2(0.11797753, 0.17977524),
float2(0.12921348, 0.79775238),
float2(0.14044943, 0.41573000),
float2(0.15168539, 0.03370762),
float2(0.16292135, 0.65168476),
float2(0.17415731, 0.26966286),
float2(0.18539326, 0.88764000),
float2(0.19662921, 0.50561714),
float2(0.20786516, 0.12359524),
float2(0.21910113, 0.74157238),
float2(0.23033708, 0.35955048),
float2(0.24157304, 0.97752762),
float2(0.25280899, 0.59550476),
float2(0.26404494, 0.21348286),
float2(0.27528089, 0.83146000),
float2(0.28651685, 0.44943714),
float2(0.29775280, 0.06741524),
float2(0.30898875, 0.68539238),
float2(0.32022473, 0.30336952),
float2(0.33146068, 0.92134666),
float2(0.34269664, 0.53932571),
float2(0.35393259, 0.15730286),
float2(0.36516854, 0.77528000),
float2(0.37640449, 0.39325714),
float2(0.38764045, 0.01123428),
float2(0.39887640, 0.62921333),
float2(0.41011235, 0.24719048),
float2(0.42134830, 0.86516762),
float2(0.43258426, 0.48314476),
float2(0.44382024, 0.10112190),
float2(0.45505619, 0.71910095),
float2(0.46629214, 0.33707809),
float2(0.47752810, 0.95505524),
float2(0.48876405, 0.57303238),
float2(0.50000000, 0.19100952),
float2(0.51123595, 0.80898666),
float2(0.52247190, 0.42696571),
float2(0.53370786, 0.04494286),
float2(0.54494381, 0.66292000),
float2(0.55617976, 0.28089714),
float2(0.56741571, 0.89887428),
float2(0.57865167, 0.51685333),
float2(0.58988762, 0.13483047),
float2(0.60112357, 0.75280762),
float2(0.61235952, 0.37078476),
float2(0.62359548, 0.98876190),
float2(0.63483149, 0.60673904),
float2(0.64606744, 0.22471619),
float2(0.65730339, 0.84269333),
float2(0.66853935, 0.46067429),
float2(0.67977530, 0.07865143),
float2(0.69101125, 0.69662857),
float2(0.70224720, 0.31460571),
float2(0.71348315, 0.93258286),
float2(0.72471911, 0.55056000),
float2(0.73595506, 0.16853714),
float2(0.74719101, 0.78651428),
float2(0.75842696, 0.40449142),
float2(0.76966292, 0.02246857),
float2(0.78089887, 0.64044571),
float2(0.79213482, 0.25842667),
float2(0.80337077, 0.87640381),
float2(0.81460673, 0.49438095),
float2(0.82584268, 0.11235809),
float2(0.83707863, 0.73033524),
float2(0.84831458, 0.34831238),
float2(0.85955054, 0.96628952),
float2(0.87078649, 0.58426666),
float2(0.88202250, 0.20224380),
float2(0.89325845, 0.82022095),
float2(0.90449440, 0.43820190),
float2(0.91573036, 0.05617905),
float2(0.92696631, 0.67415619),
float2(0.93820226, 0.29213333),
float2(0.94943821, 0.91011047),
float2(0.96067417, 0.52808762),
float2(0.97191012, 0.14606476),
float2(0.98314607, 0.76404190),
float2(0.99438202, 0.38201904)
// Loads elements from one of the precomputed tables for sample counts of 21, 34, 55.
// Loads elements from one of the precomputed tables for sample counts of 21, 34, 55, and 89.
// Computes sample positions at runtime otherwise.
// Sample count must be a Fibonacci number (see 'k_FibonacciSeq').
float2 Fibonacci2d(uint i, uint sampleCount)

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