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',3)),Q("p",null,[T[35]||(T[35]=l("法线分布函数（Normal Distribution Function，简写为NDF）用来描述微表面法线的概率分布，可以这样理解：向NDF输入一个朝向h，NDF会返回法线是")),Q("mjx-container",k,[(m(),a("svg",O,T[31]||(T[31]=[t('',1)]))),T[32]||(T[32]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mrow",{"data-mjx-texclass":"ORD"},[Q("mover",null,[Q("mi",null,"h"),Q("mo",{stretchy:"false"},"→")])])])],-1))]),T[36]||(T[36]=l("的微表面数占微表面总数的比例，需要注意的是")),Q("mjx-container",R,[(m(),a("svg",A,T[33]||(T[33]=[t('',1)]))),T[34]||(T[34]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"D"),Q("mo",{stretchy:"false"},"("),Q("mi",null,"h"),Q("mo",{stretchy:"false"},")")])],-1))]),T[37]||(T[37]=l("是描述微表面")),T[38]||(T[38]=Q("strong",null,"数量",-1)),T[39]||(T[39]=l("的概率分布函数"))]),T[198]||(T[198]=Q("h3",{id:"_2-2-微表面的面积",tabindex:"-1"},[Q("a",{class:"header-anchor",href:"#_2-2-微表面的面积"},[Q("span",null,"2.2 微表面的面积")])],-1)),Q("p",null,[T[52]||(T[52]=l("设一个小平面，面积为")),Q("mjx-container",X,[(m(),a("svg",E,T[40]||(T[40]=[t('',1)]))),T[41]||(T[41]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"d"),Q("mi",null,"A")])],-1))]),T[53]||(T[53]=l("，此小平面由更小的微表面组成，其中法线为")),Q("mjx-container",B,[(m(),a("svg",G,T[42]||(T[42]=[t('',1)]))),T[43]||(T[43]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mrow",{"data-mjx-texclass":"ORD"},[Q("mover",null,[Q("mi",null,"h"),Q("mo",{stretchy:"false"},"→")])])])],-1))]),T[54]||(T[54]=l("的微表面的概率为")),Q("mjx-container",S,[(m(),a("svg",J,T[44]||(T[44]=[t('',1)]))),T[45]||(T[45]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"D"),Q("mo",{stretchy:"false"},"("),Q("mi",null,"h"),Q("mo",{stretchy:"false"},")")])],-1))]),T[55]||(T[55]=l("，这些微表面的面积总和为")),Q("mjx-container",F,[(m(),a("svg",N,T[46]||(T[46]=[t('',1)]))),T[47]||(T[47]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"D"),Q("mo",{stretchy:"false"},"("),Q("mi",null,"h"),Q("mo",{stretchy:"false"},")"),Q("mi",null,"d"),Q("mi",null,"A")])],-1))]),T[56]||(T[56]=l("，考虑到法线范围，定义微表面的法线为")),Q("mjx-container",z,[(m(),a("svg",I,T[48]||(T[48]=[t('',1)]))),T[49]||(T[49]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mrow",{"data-mjx-texclass":"ORD"},[Q("mover",null,[Q("mi",null,"h"),Q("mo",{stretchy:"false"},"→")])])])],-1))]),T[57]||(T[57]=l("，范围在立体角")),Q("mjx-container",P,[(m(),a("svg",q,T[50]||(T[50]=[t('',1)]))),T[51]||(T[51]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"d"),Q("msub",null,[Q("mi",null,"ω"),Q("mi",null,"h")])])],-1))]),T[58]||(T[58]=l("之内的所有微表面的表面积为"))]),Q("mjx-container",Y,[(m(),a("svg",K,T[59]||(T[59]=[t('',1)]))),T[60]||(T[60]=Q("mjx-assistive-mml",{unselectable:"on",display:"block"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[Q("mi",null,"d"),Q("mi",null,"A"),Q("mo",{stretchy:"false"},"("),Q("mrow",{"data-mjx-texclass":"ORD"},[Q("mover",null,[Q("mi",null,"h"),Q("mo",{stretchy:"false"},"→")])]),Q("mo",{stretchy:"false"},")"),Q("mo",null,"="),Q("mi",null,"D"),Q("mo",{stretchy:"false"},"("),Q("mrow",{"data-mjx-texclass":"ORD"},[Q("mover",null,[Q("mi",null,"h"),Q("mo",{stretchy:"false"},"→")])]),Q("mo",{stretchy:"false"},")"),Q("mi",null,"d"),Q("msub",null,[Q("mi",null,"ω"),Q("mi",null,"h")]),Q("mi",null,"d"),Q("mi",null,"A")])],-1))]),T[199]||(T[199]=Q("h2",{id:"_3-几何衰减因子",tabindex:"-1"},[Q("a",{class:"header-anchor",href:"#_3-几何衰减因子"},[Q("span",null,"3. 几何衰减因子")])],-1)),T[200]||(T[200]=Q("h3",{id:"_3-1-定义",tabindex:"-1"},[Q("a",{class:"header-anchor",href:"#_3-1-定义"},[Q("span",null,"3.1 定义")])],-1)),Q("p",null,[T[63]||(T[63]=l("由于微表面之间的互相遮挡(Shadowing)，并不是所有微表面能够接收到光线，还有一部分微表面反射的光线会被阻挡(Masking)，还有一部分光线会在微表面之间互相反射. Shadowing和Masking效应用几何衰减因子(Geometrical Attenuation Factor)来表示，用")),Q("mjx-container",U,[(m(),a("svg",W,T[61]||(T[61]=[t('',1)]))),T[62]||(T[62]=Q("mjx-assistive-mml",{unselectable:"on",display:"inline"},[Q("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[Q("mi",null,"G"),Q("mo",{stretchy:"false"},"("),Q("mi",null,"l"),Q("mo",null,","),Q("mi",null,"v"),Q("mo",{stretchy:"false"},")")])],-1))]),T[64]||(T[64]=l("表示"))]),T[201]||(T[201]=t('
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