44 lines
53 KiB
HTML
44 lines
53 KiB
HTML
<!doctype html>
|
||
<html lang="zh-CN">
|
||
<head>
|
||
<meta charset="utf-8" />
|
||
<meta name="viewport" content="width=device-width,initial-scale=1" />
|
||
<meta name="generator" content="VuePress 2.0.0-rc.19" />
|
||
<style>
|
||
:root {
|
||
--vp-c-bg: #fff;
|
||
}
|
||
|
||
[data-theme='dark'] {
|
||
--vp-c-bg: #1b1b1f;
|
||
}
|
||
|
||
html,
|
||
body {
|
||
background-color: var(--vp-c-bg);
|
||
}
|
||
</style>
|
||
<script>
|
||
const useChoice = localStorage.getItem('vuepress-color-scheme')
|
||
const systemStatus =
|
||
'matchMedia' in window
|
||
? window.matchMedia('(prefers-color-scheme: dark)').matches
|
||
: false
|
||
|
||
if (useChoice === 'light') {
|
||
document.documentElement.dataset.theme = 'light'
|
||
} else if (useChoice === 'dark' || systemStatus) {
|
||
document.documentElement.dataset.theme = 'dark'
|
||
}
|
||
</script>
|
||
<title>光照模型(Illumination Model) | 我的博客和笔记</title><meta name="description" content="理性派，数学，物理，程序">
|
||
<link rel="preload" href="/assets/style-BD3wH0kl.css" as="style"><link rel="stylesheet" href="/assets/style-BD3wH0kl.css">
|
||
<link rel="modulepreload" href="/assets/app-Bj0iHonY.js"><link rel="modulepreload" href="/assets/illumination_model_01.html-DHCOFCfL.js">
|
||
<link rel="prefetch" href="/assets/about.html-BKHD8_27.js" as="script"><link rel="prefetch" href="/assets/index.html-DCqf0Yhx.js" as="script"><link rel="prefetch" href="/assets/index.html-ByCnZdB7.js" as="script"><link rel="prefetch" href="/assets/index.html-C8bIghrh.js" as="script"><link rel="prefetch" href="/assets/flip_coin.html-CtyAnL_p.js" as="script"><link rel="prefetch" href="/assets/index.html-Bp54WPsd.js" as="script"><link rel="prefetch" href="/assets/mental_poker.html-DrLpcK0Z.js" as="script"><link rel="prefetch" href="/assets/rsa.html-BzrURFnC.js" as="script"><link rel="prefetch" href="/assets/index.html-Dd_VxDLf.js" as="script"><link rel="prefetch" href="/assets/index.html-08uek56d.js" as="script"><link rel="prefetch" href="/assets/group.html-CgID_Ytm.js" as="script"><link rel="prefetch" href="/assets/index.html-B4oSYQrc.js" as="script"><link rel="prefetch" href="/assets/number_theory_1.html-Dk51lxDs.js" as="script"><link rel="prefetch" href="/assets/number_theory_2.html-CpI8fOvy.js" as="script"><link rel="prefetch" href="/assets/number_theory_3.html-vurBmL5N.js" as="script"><link rel="prefetch" href="/assets/probability.html-DtXs-h-R.js" as="script"><link rel="prefetch" href="/assets/symbol.html-DNk3WaMG.js" as="script"><link rel="prefetch" href="/assets/DH.html-BY5ss3Yd.js" as="script"><link rel="prefetch" href="/assets/Ellipse.html-MscloGz5.js" as="script"><link rel="prefetch" href="/assets/Fibonacci.html-DGHJeLXU.js" as="script"><link rel="prefetch" href="/assets/JPEG001.html-BMaPs7Rg.js" as="script"><link rel="prefetch" href="/assets/JPEG002.html-D0yfNmBx.js" as="script"><link rel="prefetch" href="/assets/JPEG003.html-6mrtdZov.js" as="script"><link rel="prefetch" href="/assets/JPEG004.html-Dhpf0TM2.js" as="script"><link rel="prefetch" href="/assets/JPEG005.html-6a8w9XiB.js" as="script"><link rel="prefetch" href="/assets/Martingle.html-CKvAEqUe.js" as="script"><link rel="prefetch" href="/assets/MentalPoker01.html-CVPMtJle.js" as="script"><link rel="prefetch" href="/assets/MentalPoker02.html-CeOOKh4d.js" as="script"><link rel="prefetch" href="/assets/RandRound.html-BYv821U1.js" as="script"><link rel="prefetch" href="/assets/SPH001.html-COiZ2bJK.js" as="script"><link rel="prefetch" href="/assets/SPH002.html-DjGg5BMo.js" as="script"><link rel="prefetch" href="/assets/SPH003.html-D_TBi5sR.js" as="script"><link rel="prefetch" href="/assets/SPH004.html-DwrD-rsk.js" as="script"><link rel="prefetch" href="/assets/SegmentCircle.html-mfJ0HByo.js" as="script"><link rel="prefetch" href="/assets/illumination_model_02.html-igVH9CdB.js" as="script"><link rel="prefetch" href="/assets/index.html-BZusU71h.js" as="script"><link rel="prefetch" href="/assets/ibl_01.html-sH3ffk-K.js" as="script"><link rel="prefetch" href="/assets/ibl_02.html-CjNoce7g.js" as="script"><link rel="prefetch" href="/assets/index.html--Z5jQ5Vs.js" as="script"><link rel="prefetch" href="/assets/index.html-kNaRPHuk.js" as="script"><link rel="prefetch" href="/assets/math_01.html-BvIvykO8.js" as="script"><link rel="prefetch" href="/assets/math_02.html-DlKIg_k9.js" as="script"><link rel="prefetch" href="/assets/math_03.html-BhVg0PRB.js" as="script"><link rel="prefetch" href="/assets/transform_01.html-DRrLIlH3.js" as="script"><link rel="prefetch" href="/assets/transform_02.html-CX7S70bP.js" as="script"><link rel="prefetch" href="/assets/transform_03.html-CNzgsxLd.js" as="script"><link rel="prefetch" href="/assets/transform_04.html-HZ5pCysD.js" as="script"><link rel="prefetch" href="/assets/function.html-CGQnt5qr.js" as="script"><link rel="prefetch" href="/assets/grammar.html-DNbW58J0.js" as="script"><link rel="prefetch" href="/assets/helloworld.html-B3yEhBIW.js" as="script"><link rel="prefetch" href="/assets/index.html-DpgE4jGz.js" as="script"><link rel="prefetch" href="/assets/object_and_class.html-tUTPWetj.js" as="script"><link rel="prefetch" href="/assets/BRDF.html-DOaRZUqY.js" as="script"><link rel="prefetch" href="/assets/luminosity.html-CzDTFkf0.js" as="script"><link rel="prefetch" href="/assets/microfacets_1.html-N6ytvZqT.js" as="script"><link rel="prefetch" href="/assets/microfacets_2.html-Do-s-d_F.js" as="script"><link rel="prefetch" href="/assets/microfacets_3.html-CKila0Tv.js" as="script"><link rel="prefetch" href="/assets/render_function_1.html-czrKh_EI.js" as="script"><link rel="prefetch" href="/assets/404.html-ZQfppfEZ.js" as="script"><link rel="prefetch" href="/assets/setupDevtools-7MC2TMWH-C6p7wg3a.js" as="script">
|
||
</head>
|
||
<body>
|
||
<div id="app"><!--[--><div class="vp-theme-container external-link-icon" vp-container><!--[--><header class="vp-navbar" vp-navbar><div class="vp-toggle-sidebar-button" title="toggle sidebar" aria-expanded="false" role="button" tabindex="0"><div class="icon" aria-hidden="true"><span></span><span></span><span></span></div></div><span><a class="route-link" href="/"><img class="vp-site-logo" src="/favicon.png" alt="我的博客和笔记"><span class="vp-site-name vp-hide-mobile" aria-hidden="true">我的博客和笔记</span></a></span><div class="vp-navbar-items-wrapper" style=""><!--[--><!--]--><nav class="vp-navbar-items vp-hide-mobile" aria-label="site navigation"><!--[--><div class="vp-navbar-item"><a class="route-link auto-link" href="/" aria-label="首页"><!--[--><!--[--><!--]--><!--]-->首页<!--[--><!--[--><!--]--><!--]--></a></div><div class="vp-navbar-item"><a class="route-link auto-link" href="/blog/" aria-label="文章"><!--[--><!--[--><!--]--><!--]-->文章<!--[--><!--[--><!--]--><!--]--></a></div><div class="vp-navbar-item"><div class="vp-navbar-dropdown-wrapper"><button class="vp-navbar-dropdown-title" type="button" aria-label="开源项目"><span class="title">开源项目</span><span class="arrow down"></span></button><button class="vp-navbar-dropdown-title-mobile" type="button" aria-label="开源项目"><span class="title">开源项目</span><span class="right arrow"></span></button><ul style="display:none;" class="vp-navbar-dropdown"><!--[--><li class="vp-navbar-dropdown-item"><a class="auto-link external-link" href="https://github.com/thejinchao/turbolink" aria-label="TurboLink" rel="noopener noreferrer" target="_blank"><!--[--><!--[--><!--]--><!--]-->TurboLink<!--[--><!--[--><!--]--><!--]--></a></li><!--]--></ul></div></div><div class="vp-navbar-item"><div class="vp-navbar-dropdown-wrapper"><button class="vp-navbar-dropdown-title" type="button" aria-label="个人笔记"><span class="title">个人笔记</span><span class="arrow down"></span></button><button class="vp-navbar-dropdown-title-mobile" type="button" aria-label="个人笔记"><span class="title">个人笔记</span><span class="right arrow"></span></button><ul style="display:none;" class="vp-navbar-dropdown"><!--[--><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/math/" aria-label="数学相关"><!--[--><!--[--><!--]--><!--]-->数学相关<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link route-link-active auto-link" href="/note/graphics/" aria-label="图形学"><!--[--><!--[--><!--]--><!--]-->图形学<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/cryptography/" aria-label="密码学"><!--[--><!--[--><!--]--><!--]-->密码学<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/language/" aria-label="编程语言"><!--[--><!--[--><!--]--><!--]-->编程语言<!--[--><!--[--><!--]--><!--]--></a></li><!--]--></ul></div></div><div class="vp-navbar-item"><a class="route-link auto-link" href="/about.html" aria-label="关于"><!--[--><!--[--><!--]--><!--]-->关于<!--[--><!--[--><!--]--><!--]--></a></div><!--]--></nav><!--[--><!--]--><button type="button" class="vp-toggle-color-mode-button" title="toggle color mode"><svg class="light-icon" viewbox="0 0 32 32" style=""><path d="M16 12.005a4 4 0 1 1-4 4a4.005 4.005 0 0 1 4-4m0-2a6 6 0 1 0 6 6a6 6 0 0 0-6-6z" fill="currentColor"></path><path d="M5.394 6.813l1.414-1.415l3.506 3.506L8.9 10.318z" fill="currentColor"></path><path d="M2 15.005h5v2H2z" fill="currentColor"></path><path d="M5.394 25.197L8.9 21.691l1.414 1.415l-3.506 3.505z" fill="currentColor"></path><path d="M15 25.005h2v5h-2z" fill="currentColor"></path><path d="M21.687 23.106l1.414-1.415l3.506 3.506l-1.414 1.414z" fill="currentColor"></path><path d="M25 15.005h5v2h-5z" fill="currentColor"></path><path d="M21.687 8.904l3.506-3.506l1.414 1.415l-3.506 3.505z" fill="currentColor"></path><path d="M15 2.005h2v5h-2z" fill="currentColor"></path></svg><svg class="dark-icon" viewbox="0 0 32 32" style="display:none;"><path d="M13.502 5.414a15.075 15.075 0 0 0 11.594 18.194a11.113 11.113 0 0 1-7.975 3.39c-.138 0-.278.005-.418 0a11.094 11.094 0 0 1-3.2-21.584M14.98 3a1.002 1.002 0 0 0-.175.016a13.096 13.096 0 0 0 1.825 25.981c.164.006.328 0 .49 0a13.072 13.072 0 0 0 10.703-5.555a1.01 1.01 0 0 0-.783-1.565A13.08 13.08 0 0 1 15.89 4.38A1.015 1.015 0 0 0 14.98 3z" fill="currentColor"></path></svg></button><!----></div></header><!--]--><div class="vp-sidebar-mask"></div><!--[--><aside class="vp-sidebar" vp-sidebar><nav class="vp-navbar-items" aria-label="site navigation"><!--[--><div class="vp-navbar-item"><a class="route-link auto-link" href="/" aria-label="首页"><!--[--><!--[--><!--]--><!--]-->首页<!--[--><!--[--><!--]--><!--]--></a></div><div class="vp-navbar-item"><a class="route-link auto-link" href="/blog/" aria-label="文章"><!--[--><!--[--><!--]--><!--]-->文章<!--[--><!--[--><!--]--><!--]--></a></div><div class="vp-navbar-item"><div class="vp-navbar-dropdown-wrapper"><button class="vp-navbar-dropdown-title" type="button" aria-label="开源项目"><span class="title">开源项目</span><span class="arrow down"></span></button><button class="vp-navbar-dropdown-title-mobile" type="button" aria-label="开源项目"><span class="title">开源项目</span><span class="right arrow"></span></button><ul style="display:none;" class="vp-navbar-dropdown"><!--[--><li class="vp-navbar-dropdown-item"><a class="auto-link external-link" href="https://github.com/thejinchao/turbolink" aria-label="TurboLink" rel="noopener noreferrer" target="_blank"><!--[--><!--[--><!--]--><!--]-->TurboLink<!--[--><!--[--><!--]--><!--]--></a></li><!--]--></ul></div></div><div class="vp-navbar-item"><div class="vp-navbar-dropdown-wrapper"><button class="vp-navbar-dropdown-title" type="button" aria-label="个人笔记"><span class="title">个人笔记</span><span class="arrow down"></span></button><button class="vp-navbar-dropdown-title-mobile" type="button" aria-label="个人笔记"><span class="title">个人笔记</span><span class="right arrow"></span></button><ul style="display:none;" class="vp-navbar-dropdown"><!--[--><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/math/" aria-label="数学相关"><!--[--><!--[--><!--]--><!--]-->数学相关<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link route-link-active auto-link" href="/note/graphics/" aria-label="图形学"><!--[--><!--[--><!--]--><!--]-->图形学<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/cryptography/" aria-label="密码学"><!--[--><!--[--><!--]--><!--]-->密码学<!--[--><!--[--><!--]--><!--]--></a></li><li class="vp-navbar-dropdown-item"><a class="route-link auto-link" href="/note/language/" aria-label="编程语言"><!--[--><!--[--><!--]--><!--]-->编程语言<!--[--><!--[--><!--]--><!--]--></a></li><!--]--></ul></div></div><div class="vp-navbar-item"><a class="route-link auto-link" href="/about.html" aria-label="关于"><!--[--><!--[--><!--]--><!--]-->关于<!--[--><!--[--><!--]--><!--]--></a></div><!--]--></nav><!--[--><!--]--><ul class="vp-sidebar-items"><!--[--><li><p tabindex="0" class="vp-sidebar-item vp-sidebar-heading collapsible">我的文章 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><p tabindex="0" class="vp-sidebar-item collapsible">从抛币协议到智能合约 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/MentalPoker01.html" aria-label="Part1"><!--[--><!--[--><!--]--><!--]-->Part1<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/MentalPoker02.html" aria-label="Part2"><!--[--><!--[--><!--]--><!--]-->Part2<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">JPEG算法解密 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/JPEG001.html" aria-label="Part1"><!--[--><!--[--><!--]--><!--]-->Part1<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/JPEG002.html" aria-label="Part2"><!--[--><!--[--><!--]--><!--]-->Part2<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/JPEG003.html" aria-label="Part3"><!--[--><!--[--><!--]--><!--]-->Part3<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/JPEG004.html" aria-label="Part4"><!--[--><!--[--><!--]--><!--]-->Part4<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/JPEG005.html" aria-label="Part5"><!--[--><!--[--><!--]--><!--]-->Part5<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="auto-link external-link vp-sidebar-item" href="http://github.com/thejinchao/jpeg_encoder" aria-label="Github" rel="noopener noreferrer" target="_blank"><!--[--><!--[--><!--]--><!--]-->Github<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">SPH算法简介 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/SPH001.html" aria-label="Part1"><!--[--><!--[--><!--]--><!--]-->Part1<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/SPH002.html" aria-label="Part2"><!--[--><!--[--><!--]--><!--]-->Part2<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/SPH003.html" aria-label="Part3"><!--[--><!--[--><!--]--><!--]-->Part3<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/SPH004.html" aria-label="Part4"><!--[--><!--[--><!--]--><!--]-->Part4<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="auto-link external-link vp-sidebar-item" href="https://github.com/thejinchao/fluid" aria-label="Github" rel="noopener noreferrer" target="_blank"><!--[--><!--[--><!--]--><!--]-->Github<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/Martingle.html" aria-label="赌博中的数学：Martingle策略"><!--[--><!--[--><!--]--><!--]-->赌博中的数学：Martingle策略<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/RandRound.html" aria-label="如何生成一个随机的圆形"><!--[--><!--[--><!--]--><!--]-->如何生成一个随机的圆形<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/DH.html" aria-label="一个简单的DH密钥协商算法的实现"><!--[--><!--[--><!--]--><!--]-->一个简单的DH密钥协商算法的实现<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/SegmentCircle.html" aria-label="如何计算线段和圆的交点"><!--[--><!--[--><!--]--><!--]-->如何计算线段和圆的交点<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/Ellipse.html" aria-label="一道数学趣题"><!--[--><!--[--><!--]--><!--]-->一道数学趣题<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/blog/2025/02/Fibonacci.html" aria-label="斐波那契数列和1/89"><!--[--><!--[--><!--]--><!--]-->斐波那契数列和1/89<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item vp-sidebar-heading collapsible">开源项目 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="auto-link external-link vp-sidebar-item" href="https://github.com/thejinchao/turbolink" aria-label="TurboLink" rel="noopener noreferrer" target="_blank"><!--[--><!--[--><!--]--><!--]-->TurboLink<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item vp-sidebar-heading collapsible">学习笔记 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><p tabindex="0" class="vp-sidebar-item collapsible">数学相关 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/symbol.html" aria-label="常用数学符号"><!--[--><!--[--><!--]--><!--]-->常用数学符号<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/group.html" aria-label="群"><!--[--><!--[--><!--]--><!--]-->群<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/number_theory_1.html" aria-label="数论（一）"><!--[--><!--[--><!--]--><!--]-->数论（一）<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/number_theory_2.html" aria-label="数论（二）"><!--[--><!--[--><!--]--><!--]-->数论（二）<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/number_theory_3.html" aria-label="数论（三）"><!--[--><!--[--><!--]--><!--]-->数论（三）<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/math/probability.html" aria-label="概率"><!--[--><!--[--><!--]--><!--]-->概率<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">密码学 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/cryptography/rsa.html" aria-label="RSA"><!--[--><!--[--><!--]--><!--]-->RSA<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/cryptography/flip_coin.html" aria-label="抛币协议"><!--[--><!--[--><!--]--><!--]-->抛币协议<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/cryptography/mental_poker.html" aria-label="智能扑克协议"><!--[--><!--[--><!--]--><!--]-->智能扑克协议<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">图形学 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><p tabindex="0" class="vp-sidebar-item collapsible">数学基础 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/math_01.html" aria-label="矢量"><!--[--><!--[--><!--]--><!--]-->矢量<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/math_02.html" aria-label="矩阵"><!--[--><!--[--><!--]--><!--]-->矩阵<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/math_03.html" aria-label="立体角"><!--[--><!--[--><!--]--><!--]-->立体角<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/transform_01.html" aria-label="几何变换(一)"><!--[--><!--[--><!--]--><!--]-->几何变换(一)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/transform_02.html" aria-label="几何变换(二)"><!--[--><!--[--><!--]--><!--]-->几何变换(二)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/transform_03.html" aria-label="法线变换"><!--[--><!--[--><!--]--><!--]-->法线变换<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/math/transform_04.html" aria-label="摄像机变换"><!--[--><!--[--><!--]--><!--]-->摄像机变换<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">光照模型 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/luminosity/luminosity.html" aria-label="光度学"><!--[--><!--[--><!--]--><!--]-->光度学<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/BRDF/BRDF.html" aria-label="双向反射分布函数(BRDF)"><!--[--><!--[--><!--]--><!--]-->双向反射分布函数(BRDF)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/microfacets/microfacets_1.html" aria-label="微平面理论(一)"><!--[--><!--[--><!--]--><!--]-->微平面理论(一)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/microfacets/microfacets_2.html" aria-label="微平面理论(二)"><!--[--><!--[--><!--]--><!--]-->微平面理论(二)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/microfacets/microfacets_3.html" aria-label="微平面理论(三)"><!--[--><!--[--><!--]--><!--]-->微平面理论(三)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/illumination_model/render_function/render_function_1.html" aria-label="光照方程"><!--[--><!--[--><!--]--><!--]-->光照方程<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">环境光渲染 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/image_based_lighting/ibl_01.html" aria-label="环境光渲染(一)"><!--[--><!--[--><!--]--><!--]-->环境光渲染(一)<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/graphics/image_based_lighting/ibl_02.html" aria-label="环境光渲染(二)"><!--[--><!--[--><!--]--><!--]-->环境光渲染(二)<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><!--]--></ul></li><li><p tabindex="0" class="vp-sidebar-item collapsible">编程语言 <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><p tabindex="0" class="vp-sidebar-item collapsible">JavaScript <span class="right arrow"></span></p><ul style="display:none;" class="vp-sidebar-children"><!--[--><li><a class="route-link auto-link vp-sidebar-item" href="/note/language/javascript/helloworld.html" aria-label="环境搭建"><!--[--><!--[--><!--]--><!--]-->环境搭建<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/language/javascript/grammar.html" aria-label="基本语法"><!--[--><!--[--><!--]--><!--]-->基本语法<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/language/javascript/function.html" aria-label="函数"><!--[--><!--[--><!--]--><!--]-->函数<!--[--><!--[--><!--]--><!--]--></a><!----></li><li><a class="route-link auto-link vp-sidebar-item" href="/note/language/javascript/object_and_class.html" aria-label="对象和类"><!--[--><!--[--><!--]--><!--]-->对象和类<!--[--><!--[--><!--]--><!--]--></a><!----></li><!--]--></ul></li><!--]--></ul></li><!--]--></ul></li><!--]--></ul><!--[--><!--]--></aside><!--]--><!--[--><main class="vp-page"><!--[--><!--]--><div vp-content><!--[--><!--]--><div><h1 id="光照模型-illumination-model" tabindex="-1"><a class="header-anchor" href="#光照模型-illumination-model"><span>光照模型(Illumination Model)</span></a></h1><h2 id="_1-phong模型" tabindex="-1"><a class="header-anchor" href="#_1-phong模型"><span>1. Phong模型</span></a></h2><h3 id="_1-1-基本定义" tabindex="-1"><a class="header-anchor" href="#_1-1-基本定义"><span>1.1 基本定义</span></a></h3><figure><img src="/assets/Phong_Vectors-C5SVfFFg.svg" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><ul><li><mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.375em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4E"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">N</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container>表示表面的单位法线矢量</li><li><mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.313em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4C"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">L</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container>是指向光源的单位矢量</li><li><mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.368em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c52"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container>是反射光线的单位矢量</li><li><mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.375em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c56"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">V</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container>是指向相机的单位矢量</li></ul><h3 id="_1-2-算法" tabindex="-1"><a class="header-anchor" href="#_1-2-算法"><span>1.2 算法</span></a></h3><p><a href="https://en.wikipedia.org/wiki/Phong_reflection_model" target="_blank" rel="noopener noreferrer">https://en.wikipedia.org/wiki/Phong_reflection_model</a></p><figure><img src="/assets/Phong_components_version_4-BdviBq0w.png" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><mjx-container class="MathJax" jax="CHTML" display="true" style="position:relative;"><mjx-math display="true" style="margin-left:0;margin-right:0;" class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c70"></mjx-c><mjx-c class="mjx-c68"></mjx-c><mjx-c class="mjx-c6F"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c67"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-msub space="4"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6D"></mjx-c><mjx-c class="mjx-c62"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c74"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2B"></mjx-c></mjx-mo><mjx-mo class="mjx-lop" space="3"><mjx-c class="mjx-c2211 TEX-S2"></mjx-c></mjx-mo><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-TeXAtom texclass="ORD"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c64"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c66"></mjx-c><mjx-c class="mjx-c66"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c65"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2B"></mjx-c></mjx-mo><mjx-msub space="3"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c70"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c6C"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c72"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub></mjx-TeXAtom><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">phong</mi></mrow></msub><mo>=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">ambient</mi></mrow></msub><mo>+</mo><mo data-mjx-texclass="OP">∑</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">diffuse</mi></mrow></msub><mo>+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">specular</mi></mrow></msub></mrow><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container><h3 id="_1-2-1-环境光-ambient-reflection" tabindex="-1"><a class="header-anchor" href="#_1-2-1-环境光-ambient-reflection"><span>1.2.1 <strong>环境光（Ambient Reflection）</strong></span></a></h3><mjx-container class="MathJax" jax="CHTML" display="true" style="position:relative;"><mjx-math display="true" style="margin-left:0;margin-right:0;" class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6D"></mjx-c><mjx-c class="mjx-c62"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c74"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-msub space="4"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">ambient</mi></mrow></msub><mo>=</mo><msub><mi>L</mi><mi>a</mi></msub><msub><mi>K</mi><mi>a</mi></msub></math></mjx-assistive-mml></mjx-container><p>其中<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mi>a</mi></msub></math></mjx-assistive-mml></mjx-container>是环境光亮度，<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mi>a</mi></msub></math></mjx-assistive-mml></mjx-container>是环境光反射系数<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mn class="mjx-n"><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-msub space="4"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><msub><mi>K</mi><mi>a</mi></msub><mo>≤</mo><mn>1</mn></math></mjx-assistive-mml></mjx-container></p><h3 id="_1-2-2-漫反射-diffuse-reflection" tabindex="-1"><a class="header-anchor" href="#_1-2-2-漫反射-diffuse-reflection"><span>1.2.2 <strong>漫反射（Diffuse Reflection）</strong></span></a></h3><figure><img src="/assets/Diffuse_Reflection-12CD6lrh.svg" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><p>根据Lambert规则，材质的漫反射是均匀发射到周围的，和观察角度无关，只和光源的入射角度有关</p><mjx-container class="MathJax" jax="CHTML" display="true" style="position:relative;"><mjx-math display="true" style="margin-left:0;margin-right:0;" class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c64"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c66"></mjx-c><mjx-c class="mjx-c66"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c65"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.368em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c22C5"></mjx-c></mjx-mo><mjx-TeXAtom space="3" texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.549em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">diffuse</mi></mrow></msub><mo>=</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo stretchy="false">→</mo></mover></mrow><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo stretchy="false">→</mo></mover></mrow><mo stretchy="false">)</mo><msub><mi>L</mi><mi>d</mi></msub><msub><mi>K</mi><mi>d</mi></msub></math></mjx-assistive-mml></mjx-container><p>其中<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mi>d</mi></msub></math></mjx-assistive-mml></mjx-container>是光源的光亮度，<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>K</mi><mi>d</mi></msub></math></mjx-assistive-mml></mjx-container>是漫反射系数<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mn class="mjx-n"><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-msub space="4"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><msub><mi>K</mi><mi>d</mi></msub><mo>≤</mo><mn>1</mn></math></mjx-assistive-mml></mjx-container></p><h3 id="_1-2-3-高光反射-specular-reflection" tabindex="-1"><a class="header-anchor" href="#_1-2-3-高光反射-specular-reflection"><span>1.2.3 <strong>高光反射(Specular Reflection)</strong></span></a></h3><figure><img src="/assets/Specular_Reflection-ChZRIJKh.svg" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><mjx-container class="MathJax" jax="CHTML" display="true" style="position:relative;"><mjx-math display="true" style="margin-left:0;margin-right:0;" class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43C TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.064em;"><mjx-TeXAtom size="s" texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c70"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c6C"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c72"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.368em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c52"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c22C5"></mjx-c></mjx-mo><mjx-TeXAtom space="3" texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.375em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c56"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-msup><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo><mjx-script style="vertical-align:0.413em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msup><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D460 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D460 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">specular</mi></mrow></msub><mo>=</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow><mo stretchy="false">→</mo></mover></mrow><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">V</mi></mrow><mo stretchy="false">→</mo></mover></mrow><msup><mo stretchy="false">)</mo><mi>n</mi></msup><msub><mi>L</mi><mi>s</mi></msub><msub><mi>K</mi><mi>s</mi></msub></math></mjx-assistive-mml></mjx-container><p>其中<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D460 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mi>s</mi></msub></math></mjx-assistive-mml></mjx-container>是光源亮度，<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D460 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>K</mi><mi>s</mi></msub></math></mjx-assistive-mml></mjx-container>是高光反射系数<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mn class="mjx-n"><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-msub space="4"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align:-0.15em;margin-left:-0.04em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D460 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><msub><mi>K</mi><mi>s</mi></msub><mo>≤</mo><mn>1</mn></math></mjx-assistive-mml></mjx-container>，<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></mjx-assistive-mml></mjx-container>高光强度</p><h3 id="_1-2-3-反射射线" tabindex="-1"><a class="header-anchor" href="#_1-2-3-反射射线"><span>1.2.3 <strong>反射射线</strong></span></a></h3><p>在计算高光反射时，需要计算反射射线<mjx-container class="MathJax" jax="CHTML" style="position:relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.368em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c52"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container></p><mjx-container class="MathJax" jax="CHTML" display="true" style="position:relative;"><mjx-math display="true" style="margin-left:0;margin-right:0;" class="MJX-TEX" aria-hidden="true"><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.368em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c52"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c32"></mjx-c></mjx-mn><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.313em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4C"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c22C5"></mjx-c></mjx-mo><mjx-TeXAtom space="3" texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.375em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4E"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo><mjx-TeXAtom texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.375em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4E"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2212"></mjx-c></mjx-mo><mjx-TeXAtom space="3" texclass="ORD"><mjx-mover><mjx-over style="padding-bottom:0.105em;padding-left:0.313em;margin-bottom:-0.516em;"><mjx-mo class="mjx-n" style="width:0;margin-left:-0.25em;"><mjx-c class="mjx-c20D7 TEX-V"></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-TeXAtom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c4C"></mjx-c></mjx-mi></mjx-TeXAtom></mjx-base></mjx-mover></mjx-TeXAtom></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow><mo stretchy="false">→</mo></mover></mrow><mo>=</mo><mn>2</mn><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">L</mi></mrow><mo stretchy="false">→</mo></mover></mrow><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">N</mi></mrow><mo stretchy="false">→</mo></mover></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">N</mi></mrow><mo stretchy="false">→</mo></mover></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">L</mi></mrow><mo stretchy="false">→</mo></mover></mrow></math></mjx-assistive-mml></mjx-container></div><!--[--><!--]--></div><footer class="vp-page-meta"><!----><div class="vp-meta-item git-info"><div class="vp-meta-item last-updated"><span class="meta-item-label">Last Updated: </span><!----></div><div class="vp-meta-item contributors"><span class="meta-item-label">Contributors: </span><span class="meta-item-info"><!--[--><!--[--><span class="contributor" title="email: thejinchao@gmail.com">thejinchao</span><!----><!--]--><!--]--></span></div></div></footer><!----><!--[--><!--]--></main><!--]--></div><!--[--><!----><!--]--><!--]--></div>
|
||
<script type="module" src="/assets/app-Bj0iHonY.js" defer></script>
|
||
</body>
|
||
</html>
|