判断一种PBR光照模型是否是基于物理的,必须满足以下三个条件:
()基于微平面(Microfacet)的表面模型。Be based on the microfacet surface model.
()能量守恒。Be energy conserving.
()应用基于物理的BRDF。Use a physically based BRDF.
原理一 微平面模型 The microfacet model
描述:任何表面(surface)在微观尺度下都可以描述为由一系列微小的平面(microfacet)组成,并且我们假设这些微平面都是绝对光滑的镜面,能够完美反射光线。
粗糙度(roughness)参数:没有任何表面是绝对光滑的,但微表面已经小到没法在像素尺度上区分,因此我们在像素的尺度上引入了粗糙度的概念(rougness),用来表示与半角向量h大致对齐的microfacet的占比。roughness是一个统计学上的近似。
散射(scatter):材质表面越粗糙,说明其微表面的方向越不一致,那其就会将光线反射到各个不同的方向,这就是散射。越光滑的表面,其微表面反射方向越一致,那么材质表面的高光区域就越集中越锐利。
半角向量h(halfway vector):光照向量l和视角向量v的中间值。
越多的微表面和半角向量对齐,那这个点的高光反射就越强越锐利。
原理二 能量守恒 Energy conservation
描述:出射光的能量不能超过入射光的能量(自发光除外)。所以光滑的表面反射光区域小强度高,粗糙的表面反射光区域大(分散)但更朦胧。
为了能量守恒,我们需要将光区分为diffuse和specular,分开处理,因为这两者是互斥的,能量来源都是入射光。
reflection part 反射部分:specular lighting
refraction part 折射部分:diffuse lighting,折射部分的光线会进入物体内部继续传播。
物质可以看成是由无数个很小的particles组成(微观),光线在碰到这些particle时,一部分能量被吸收转化为热能(能量损失),一部分被反射后继续传播(方向随机的散射),直到能量损失耗尽或离开物体表面继续传播。而逃出物质表面继续传播的光线就成为了surface的diffuse color。(light和particle碰撞时会有能量损耗)。
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" 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PBR对这个模型做了一个简化:假设所有的折射光线要么被完全吸收,要么只会从一个很小的区域(同一个像素)散射出物体表面,而忽略那些在物体内部传播然后从远离入射点的地方散射出去的光线。
次表面散射(SubSurface Scattering):SSS技术基于PBR并考虑了较远距离散射的光线能量,显著提升了表现效果,但也会带来一些性能损耗。SSS材质一般用在皮肤、透光的大理石、蜡状物的渲染模拟上。
金属材质(metallic):所有的refraction light都被直接吸收(转化为热能),而不会散射。所以金属材质只有reflection light,没有diffuse color。由于金属材质的特殊性,在PBR的管线中,对于metallic和dielectrics(非金属材质,电介质,绝缘体)的处理方式是不一样的。
能量守恒的表述:reflection和refraction是互斥的,所以我们先计算reflectec/specular的光照比例,然后剩下的就是refracted/diffuse的光照部分了。这样能够保证反射光和折射光都不可能超过1。
float kS = calculateSpecularComponent(...); // reflection/specular fraction
float kD = 1.0 - kS; // refraction/diffuse fraction
反射率方程 The reflectance equation
渲染方程(Render Equation):用来模拟光的视觉效果最好的模型。
反射率方程:物理渲染所使用的特定的渲染方程:
辐射度量学(Radiometry):是一种用来度量电磁场辐射的手段。
Radiation:辐射
Radiance:辐射率,用L表示,和反射率方程有关的一种辐射度量,用来度量某一方向上发射来的光线的大小或强度。
还有很多辐射度量(radiometric quantities)用来测量曲面在某个方向上的光,我们只关注radiance。
辐射通量(Radiant flux):Φ,感觉叫辐射流量更好理解,表示一个光源所输出的能量,单位瓦特(Watts)。光是有多种不同波长的能量组合而成。
函数表示:光源所包含的各种波长的一个函数。(可见光波长范围390nm-700nm)。
简化表示:三原色RGB编码(光色)。这个编码有信息损失,但对于视觉上的影响可忽略不计。
立体角(Solid Angle):ω,投射到单位球体上的一个截面的大小或面积。
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" 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辐射强度(Radiant Intensity):I,单位球面上,一个光源向单位立体角所投射的辐射通量。
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" alt="" width="304" />
辐射强度=辐射通量/立体角:
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辐射率(radiance):辐射强度Φ的光源在单位面积A、单位立体角w上辐射出的总能量: (辐射率方程The radiance euqation)
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其中:float cosTheta = dot(lightDir, N);
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" 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辐射率(Radiance)是辐射度两学上表示一个区域平面上光线总量的物理量。
光束对单个像素的作用:立体角w和面积A看做无限小,实际上将立体角w转变为方向向量w,面积A转为点p。
辐照度(Irradiance):所有投射到点p上的光线的总和。
积分(Integral)的值等于一个函数曲线的面积。
黎曼和(Riemann sum):在半球领域Ω中按一定步长将反射率方程分散求解,然后按照步长将结果平均化。
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" 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半球领域(Hemisphere):反射率方程概括了半球领域Ω内,照射到点p上的所有入射方向wi上的光线的辐射率,并受到fr的约束,然后返回观察方向上反射光的Lo。
IBL:利用一个环境贴图来测算所有入射方向上的辐射率。
原理三 BRDF Bidirectional Reflective Distribution Function 双向反射分布函数
作用:基于表面材质属性来对入射辐射率进行缩放或者加权。依据微平面理论来近似求得材质的反射与折射属性。
输入:入射方向wi,出射方向wo,平面发现n,微平面粗糙度α。
输出:近似的求出每束光线对一个给定了材质属性的平面上最终反射出来的光线所作出的贡献度。
Blinn-Phong光照模型:采用wi和wo作为参数,可被认为是一个简化的BRDF,但没有遵守能量守恒。
Cook-Torrance BRDF模型:主流BRDF,兼有漫反射和镜面反射
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" alt="" width="282" />
公式解析:
kd:入射光线中被折射部分的能量所占的比率
ks:被反射部分的比率
漫反射部分:Lambertian漫反射,据Epic的结论,Lambertian漫反射模型已足够用:
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镜面反射部分:
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" 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D:Normal Distribution Funcion,正态分布函数/法线分布函数,粗糙度相关
微表面中与半角向量对齐的微平面的比例。
F:Fresnel Rquation,菲涅尔方程,金属度相关(通过金属度计算反射率)
在一个反射平面上,当入射角度越“倾斜”,反射的光线越多,折射的光线越少;入射角度越“直”折射越多,反射越少。该参数描述不同角度下的光线反射比率。
G:Geometry Function,几何函数,可见性函数,粗糙度相关
描述了光线从入射到出射过程中,有多少比例被微平面自身的凹凸不平遮挡住了,也就是自阴影属性。根据入射和出射方向,计算出不被自身遮挡的光线的比例。
Epic Games的Unreal Engine 4采用的套餐:
D:Trowbridge-Reitz GGX
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" alt="" width="362" />
float DistributionGGX(vec3 N, vec3 H, float a)
{
float a2 = a*a;
float NdotH = max(dot(N, H), 0.0);
float NdotH2 = NdotH*NdotH;
float nom = a2;
float denom = (NdotH2 * (a2 - 1.0) + 1.0);
denom = PI * denom * denom;
return nom / denom;
}
F:Fresnel-Schlick近似(Fresnel-Schlick Approximation)
Fresnel equation是一个相当复杂的公式,不过我们可以使用Fresnel-Schlick公式来近似:
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" 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F0表示平面的基础反射率(Base Reflectivity),可以使用IOR(Indices of Refraction,折射指数)计算得出。
菲涅尔现象:理论上,任何表面从完美的90度(垂直于法线)看,都会完全地反射光线(很强)。越是从掠角上看菲涅尔现象就越是明显,反光就越强。
grazing andle:掠角。
金属材质的特殊性:对于导体,使用IOR计算出的F0并不准确。
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电介质材质:基础反射率不会高于0.17。
导体材质(金属):基础反射率大多在0.5-1.0之间,而且一般会带有颜色,所以F0需要用RGB三原色表示。
由于金属与非金属的差异,所以引入了金属工作流(metallic workflow),材质引入金属度(metalness)属性,用来表示一个材质是金属还是非金属。
vec3 F0 = vec3(0.04);
F0 = mix(F0, surfaceColor.rgb, metalness);
非金属:取0.04,多数情况下已经够用,物理可信。
金属:取颜色纹理作为基础反射率。(金属会吸收所有折射光线,而没有漫反射)。
vec3 fresnelSchlick(float cosTheta, vec3 F0)
{
return F0 + (1.0 - F0) * pow(1.0 - cosTheta, 5.0);
}
cosTheta:法线n与观察方向v的点乘结果。
G:Smith's Schlick-GGX
Schlick-GGX:GGX与Schlick-Beckmann近似的结合体
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" 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参数k是粗糙度α的转化,在计算直接光照和IBL光照时算法不同:
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" alt="" width="174" />
为了有效地模拟几何遮挡,我们需要同时考虑:
geometry obstruction:几何遮蔽,视线方向遮挡
geometry shadowing:几何阴影,光线照射方向遮挡
使用史密斯法(Smith's method):
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" alt="" width="325" />
取值范围0.0-1.0,1.0表示没有微平面阴影,0.0表示完全遮蔽。
float GeometrySchlickGGX(float NdotV, float k)
{
float nom = NdotV;
float denom = NdotV * (1.0 - k) + k;
return nom / denom;
}
float GeometrySmith(vec3 N, vec3 V, vec3 L, float k)
{
float NdotV = max(dot(N, V), 0.0);
float NdotL = max(dot(N, L), 0.0);
float ggx1 = GeometrySchlickGGX(NdotV, k);
float ggx2 = GeometrySchlickGGX(NdotL, k);
return ggx1 * ggx2;
}
基于Cook-Torrance BRDF的反射率方程:
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" alt="" width="435" />
上面的公式并不完全正确,我们会发现其中的F表示光线在表面上的反射比率,而ks也是同样的物理意义,所以高光反射部分的DFG中已经隐式包含了这个反射比率的物理意义,那么我们的反射率方程的最终形态应该是这样:
aaarticlea/png;base64,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" alt="" width="446" />
这个公式就是我们所说的PBR模型正确形态。
- LearnOpenGL.PBR.IBL
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---------------------------------------------- LearnOpenGL ----------------------------------------- ...
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