508 lines
45 KiB
HTML
508 lines
45 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="zh-CN">
|
||
<head prefix="og: http://ogp.me/ns# article: http://ogp.me/ns/article#">
|
||
<meta charset="UTF-8" />
|
||
|
||
<meta name="generator" content="Hugo 0.113.0"><meta name="theme-color" content="#fff" />
|
||
<meta name="color-scheme" content="light dark">
|
||
|
||
|
||
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
|
||
|
||
<meta name="format-detection" content="telephone=no, date=no, address=no, email=no" />
|
||
|
||
<meta http-equiv="Cache-Control" content="no-transform" />
|
||
|
||
<meta http-equiv="Cache-Control" content="no-siteapp" />
|
||
|
||
<title>辐射度量学基础(Basic radiometry) | 飞鸿踏雪</title>
|
||
|
||
<link rel="stylesheet" href="/css/meme.min.12a3541920a798d49c1bca858f15c53090f14ce9367a34faa2bb51dd38299730.css"/>
|
||
|
||
|
||
|
||
<script src="/js/meme.min.ac2b48f322cff6a9a8036be3baf3e59e300cd9e4191997a8c3765f79de02bf8d.js"></script>
|
||
|
||
|
||
|
||
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin />
|
||
|
||
<link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,700;1,400;1,700&family=Noto+Serif+SC:wght@400;500;700&family=Source+Code+Pro:ital,wght@0,400;0,700;1,400;1,700&display=swap" media="print" onload="this.media='all'" />
|
||
<noscript><link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,700;1,400;1,700&family=Noto+Serif+SC:wght@400;500;700&family=Source+Code+Pro:ital,wght@0,400;0,700;1,400;1,700&display=swap" /></noscript>
|
||
|
||
<meta name="author" content="InkSoul" /><meta name="description" content="本文建议与以下链接结合观看，便于理解 光照与阴影 辐射度量学 辐射度量学是一个物理上准确定……" />
|
||
|
||
<link rel="shortcut icon" href="/favicon.ico" type="image/x-icon" />
|
||
<link rel="mask-icon" href="/icons/safari-pinned-tab.svg" color="#2a6df4" />
|
||
<link rel="apple-touch-icon" sizes="180x180" href="/icons/apple-touch-icon.png" />
|
||
<meta name="apple-mobile-web-app-capable" content="yes" />
|
||
<meta name="apple-mobile-web-app-title" content="飞鸿踏雪" />
|
||
<meta name="apple-mobile-web-app-status-bar-style" content="black" />
|
||
<meta name="mobile-web-app-capable" content="yes" />
|
||
<meta name="application-name" content="飞鸿踏雪" />
|
||
<meta name="msapplication-starturl" content="../../" />
|
||
<meta name="msapplication-TileColor" content="#fff" />
|
||
<meta name="msapplication-TileImage" content="../../icons/mstile-150x150.png" />
|
||
<link rel="manifest" href="/manifest.json" />
|
||
|
||
|
||
|
||
|
||
|
||
<link rel="canonical" href="http://www.inksoul.top/computergraphic/%E8%BE%90%E5%B0%84%E5%BA%A6%E9%87%8F%E5%AD%A6/" />
|
||
|
||
|
||
<script type="application/ld+json">
|
||
{
|
||
"@context": "https://schema.org",
|
||
"@type": "BlogPosting",
|
||
"datePublished": "2022-07-22T15:33:53+08:00",
|
||
"dateModified": "2023-06-18T21:19:01+08:00",
|
||
"url": "http://www.inksoul.top/computergraphic/%E8%BE%90%E5%B0%84%E5%BA%A6%E9%87%8F%E5%AD%A6/",
|
||
"headline": "辐射度量学基础(Basic radiometry)",
|
||
"description": "本文建议与以下链接结合观看，便于理解 光照与阴影 辐射度量学 辐射度量学是一个物理上准确定……",
|
||
"inLanguage" : "zh-CN",
|
||
"articleSection": "computergraphic",
|
||
"wordCount": 1749 ,
|
||
"image": ["http://www.inksoul.top/../../images/another_defination_of_flux.png","http://www.inksoul.top/../../images/Radiant_Intensity_define.png","http://www.inksoul.top/../../images/differential_solid_angles1.png","http://www.inksoul.top/../../images/differential_solid_angles_w.png","http://www.inksoul.top/../../images/Isotropic_Point_source.png","http://www.inksoul.top/../../images/modern_LED.png","http://www.inksoul.top/../../images/Irradiance_define.png","http://www.inksoul.top/../../images/Lambert_cosine_law_irradiance.png","http://www.inksoul.top/../../images/Irradiance_Fallof.png","http://www.inksoul.top/../../images/radiance_define.png","http://www.inksoul.top/../../images/Incident_radiance_define.png","http://www.inksoul.top/../../images/Exiting_radiance_define.png","http://www.inksoul.top/../../images/Irradiance_vs_radiance.png"],
|
||
"author": {
|
||
"@type": "Person",
|
||
"email": "qingci30@163.com",
|
||
"image": "http://www.inksoul.top/icons/apple-touch-icon.png",
|
||
"url": "http://www.inksoul.top",
|
||
"name": "InkSoul"
|
||
},
|
||
"license": "[CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/deed.zh)",
|
||
"publisher": {
|
||
"@type": "Organization",
|
||
"name": "飞鸿踏雪",
|
||
"logo": {
|
||
"@type": "ImageObject",
|
||
"url": "http://www.inksoul.top/icons/apple-touch-icon.png"
|
||
},
|
||
"url": "http://www.inksoul.top/"
|
||
},
|
||
"mainEntityOfPage": {
|
||
"@type": "WebSite",
|
||
"@id": "http://www.inksoul.top/"
|
||
}
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<meta property="og:title" content="辐射度量学基础(Basic radiometry)" />
|
||
<meta property="og:description" content="本文建议与以下链接结合观看，便于理解 光照与阴影 辐射度量学 辐射度量学是一个物理上准确定……" />
|
||
<meta property="og:url" content="http://www.inksoul.top/computergraphic/%E8%BE%90%E5%B0%84%E5%BA%A6%E9%87%8F%E5%AD%A6/" />
|
||
<meta property="og:site_name" content="飞鸿踏雪" />
|
||
<meta property="og:locale" content="zh" /><meta property="og:image" content="http://www.inksoul.top/../../images/another_defination_of_flux.png" />
|
||
<meta property="og:type" content="article" />
|
||
<meta property="article:published_time" content="2022-07-22T15:33:53+08:00" />
|
||
<meta property="article:modified_time" content="2023-06-18T21:19:01+08:00" />
|
||
|
||
<meta property="article:section" content="computergraphic" />
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</head>
|
||
|
||
<body>
|
||
<div class="container">
|
||
|
||
<header class="header">
|
||
|
||
<div class="header-wrapper">
|
||
<div class="header-inner single">
|
||
|
||
<div class="site-brand">
|
||
|
||
<a href="/" class="brand">飞鸿踏雪</a>
|
||
|
||
</div>
|
||
|
||
<nav class="nav">
|
||
<ul class="menu" id="menu">
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="menu-item active"><a href="/computergraphic/"><svg class="icon computergraphic" fill="none" stroke="currentColor" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M20 7l-8-4-8 4m16 0l-8 4m8-4v10l-8 4m0-10L4 7m8 4v10M4 7v10l8 4"></path></svg><span class="menu-item-name">图形学</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/algorithm/"><svg class="icon algorithm" fill="none" stroke="currentColor" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M9.663 17h4.673M12 3v1m6.364 1.636l-.707.707M21 12h-1M4 12H3m3.343-5.657l-.707-.707m2.828 9.9a5 5 0 117.072 0l-.548.547A3.374 3.374 0 0014 18.469V19a2 2 0 11-4 0v-.531c0-.895-.356-1.754-.988-2.386l-.548-.547z"></path></svg><span class="menu-item-name">算法</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/mathematics/"><svg class="icon mathematics" fill="none" stroke="currentColor" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><path stroker-linecap="round" stroke-linejoin="round" stroker-width="2" d="M576 32.01c0-17.69-14.33-31.1-32-31.1l-224-.0049c-14.69 0-27.48 10-31.05 24.25L197.9 388.3L124.6 241.7C119.2 230.9 108.1 224 96 224L32 224c-17.67 0-32 14.31-32 31.1s14.33 32 32 32h44.22l103.2 206.3c5.469 10.91 16.6 17.68 28.61 17.68c1.172 0 2.323-.0576 3.495-.1826c13.31-1.469 24.31-11.06 27.56-24.06l105.9-423.8H544C561.7 64.01 576 49.7 576 32.01zM566.6 233.4c-12.5-12.5-32.75-12.5-45.25 0L480 274.8l-41.38-41.37c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25l41.38 41.38l-41.38 41.38c-12.5 12.5-12.5 32.75 0 45.25C399.6 412.9 407.8 416 416 416s16.38-3.125 22.62-9.375L480 365.3l41.38 41.38C527.6 412.9 535.8 416 544 416s16.38-3.125 22.62-9.375c12.5-12.5 12.5-32.75 0-45.25l-41.38-41.38L566.6 278.6C579.1 266.1 579.1 245.9 566.6 233.4z"/></svg><span class="menu-item-name">数学</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/408/"><svg class="icon 408" fill="none" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><!--! Font Awesome Pro 6.1.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license (Commercial License) Copyright 2022 Fonticon 408s, Inc. --><path d="M172.1 40.16L268.1 3.76C280.9-1.089 295.1-1.089 307.9 3.76L403.9 40.16C425.6 48.41 440 69.25 440 92.52V204.7C441.3 205.1 442.6 205.5 443.9 205.1L539.9 242.4C561.6 250.6 576 271.5 576 294.7V413.9C576 436.1 562.9 456.2 542.5 465.1L446.5 507.3C432.2 513.7 415.8 513.7 401.5 507.3L288 457.5L174.5 507.3C160.2 513.7 143.8 513.7 129.5 507.3L33.46 465.1C13.13 456.2 0 436.1 0 413.9V294.7C0 271.5 14.39 250.6 36.15 242.4L132.1 205.1C133.4 205.5 134.7 205.1 136 204.7V92.52C136 69.25 150.4 48.41 172.1 40.16V40.16zM290.8 48.64C289 47.95 286.1 47.95 285.2 48.64L206.8 78.35L287.1 109.5L369.2 78.35L290.8 48.64zM392 210.6V121L309.6 152.6V241.8L392 210.6zM154.8 250.9C153 250.2 150.1 250.2 149.2 250.9L70.81 280.6L152 311.7L233.2 280.6L154.8 250.9zM173.6 455.3L256 419.1V323.2L173.6 354.8V455.3zM342.8 280.6L424 311.7L505.2 280.6L426.8 250.9C425 250.2 422.1 250.2 421.2 250.9L342.8 280.6zM528 413.9V323.2L445.6 354.8V455.3L523.2 421.2C526.1 419.9 528 417.1 528 413.9V413.9z"/></svg><span class="menu-item-name">408</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/stuff/"><svg class="icon stuff" fill="none" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><!--! Font Awesome Pro 6.1.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license (Commercial License) Copyright 2022 Fonticon stuffs, Inc. --><path d="M216 104C202.8 104 192 114.8 192 128s10.75 24 24 24c79.41 0 144 64.59 144 144C360 309.3 370.8 320 384 320s24-10.75 24-24C408 190.1 321.9 104 216 104zM224 0C206.3 0 192 14.31 192 32s14.33 32 32 32c123.5 0 224 100.5 224 224c0 17.69 14.33 32 32 32s32-14.31 32-32C512 129.2 382.8 0 224 0zM188.9 346l27.37-27.37c2.625 .625 5.059 1.506 7.809 1.506c17.75 0 31.99-14.26 31.99-32c0-17.62-14.24-32.01-31.99-32.01c-17.62 0-31.99 14.38-31.99 32.01c0 2.875 .8099 5.25 1.56 7.875L166.2 323.4L49.37 206.5c-7.25-7.25-20.12-6-24.1 3c-41.75 77.88-29.88 176.7 35.75 242.4c65.62 65.62 164.6 77.5 242.4 35.75c9.125-5 10.38-17.75 3-25L188.9 346z"/></svg><span class="menu-item-name">杂物</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/about/"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512" class="icon user-circle"><path d="M248 8C111 8 0 119 0 256s111 248 248 248 248-111 248-248S385 8 248 8zm0 96c48.6 0 88 39.4 88 88s-39.4 88-88 88-88-39.4-88-88 39.4-88 88-88zm0 344c-58.7 0-111.3-26.6-146.5-68.2 18.8-35.4 55.6-59.8 98.5-59.8 2.4 0 4.8.4 7.1 1.1 13 4.2 26.6 6.9 40.9 6.9 14.3 0 28-2.7 40.9-6.9 2.3-.7 4.7-1.1 7.1-1.1 42.9 0 79.7 24.4 98.5 59.8C359.3 421.4 306.7 448 248 448z"/></svg><span class="menu-item-name">关于</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="menu-item">
|
||
<a id="theme-switcher" href="#"><span class="icon theme-icon-light">🌞</span><span class="icon theme-icon-dark">🌙</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
|
||
</div>
|
||
</div>
|
||
|
||
<input type="checkbox" id="nav-toggle" aria-hidden="true" />
|
||
<label for="nav-toggle" class="nav-toggle"></label>
|
||
<label for="nav-toggle" class="nav-curtain"></label>
|
||
|
||
|
||
|
||
</header>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<main class="main single" id="main">
|
||
<div class="main-inner">
|
||
|
||
|
||
|
||
<article class="content post h-entry" data-align="justify" data-type="computergraphic" data-toc-num="true">
|
||
|
||
<h1 class="post-title p-name">辐射度量学基础(Basic radiometry)</h1>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<div class="post-body e-content">
|
||
<p>本文建议与以下链接结合观看，便于理解</p>
|
||
<p><a href="https://ciechanow.ski/lights-and-shadows/" target="_blank" rel="noopener">光照与阴影</a></p>
|
||
<h3 id="辐射度量学"><a href="#辐射度量学" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>辐射度量学</h3>
|
||
<ol>
|
||
<li>辐射度量学是一个物理上准确定义光照的方法，定义了一系列单位和方法描述光照</li>
|
||
<li>给光照定义了不同空间中的属性：辐射通量(Radiant flux)、强度(intensity)、辐照度(irradiance)、辐射度(radiance)</li>
|
||
<li>基于几何光学，认为光沿直线传播，没有波动性</li>
|
||
</ol>
|
||
<h4 id="引入辐射度量学的目的"><a href="#引入辐射度量学的目的" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>引入辐射度量学的目的</h4>
|
||
<ul>
|
||
<li>Whitted-style的光线追踪实际上不符合真实物理</li>
|
||
</ul>
|
||
<p>Whitted-style采用的Blinn-Phong模型实际假设了反射为完美的镜面反射，忽略光线在反射后的能量损失</p>
|
||
<ul>
|
||
<li>辐射度量学是一个精准的给我们一系列物理量的方法</li>
|
||
</ul>
|
||
<p>辐射度量学精准地定义出物体表面与光的作用、光源、材质、光线传播，确保得到正确的结果</p>
|
||
<h4 id="辐射量和辐射通量radiant-energy-and-flux"><a href="#辐射量和辐射通量radiant-energy-and-flux" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>辐射量和辐射通量(Radiant Energy and Flux)</h4>
|
||
<p>辐射量(Radiant Energy)：电磁辐射的能量，单位为焦耳</p>
|
||
<p>$$Q[J = Joule]$$</p>
|
||
<p>辐射通量(Radiant Flux)：每单位时间的能量，在物理上为功率，单位为瓦特，光学上单位为流明(lumen)</p>
|
||
<p>$$\Phi \equiv \frac{d_Q}{d_t} [W = Watt] [lm = lumen]$$</p>
|
||
<p>辐射通量同时可以表示为在单位时间内通过一个感光平面的光子数量</p>
|
||
<p><img src="../../images/another_defination_of_flux.png" alt=""></p>
|
||
<h4 id="辐射强度radiant-intensity"><a href="#辐射强度radiant-intensity" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>辐射强度(Radiant Intensity)</h4>
|
||
<p>定义：单位时间内，单位立体角辐射的能量</p>
|
||
<p><img src="../../images/Radiant_Intensity_define.png" alt=""></p>
|
||
<p>坎德拉(Candela): 发光强度的SI单位。一坎德拉是光源在给定方向上的发光强度，该光源发出540 $\times $1012Hz的单色辐射，并且在该方向上的辐射强度为1/683瓦/球面度</p>
|
||
<p>角度：圆上圆弧长度与半径的比值</p>
|
||
<ul>
|
||
<li>$\theta = \frac{l}{r}$</li>
|
||
<li>圆的最大角度为$2\pi$</li>
|
||
</ul>
|
||
<p>立体角：球面对向面积与半径平方的比值</p>
|
||
<ul>
|
||
<li>$\Omega = \frac{A}{r^2}$</li>
|
||
<li>球体的最大角度为$4\pi$</li>
|
||
</ul>
|
||
<p>微分立体角：球面上当立体角的方向与Z轴的夹角($\theta$)、绕着Z轴旋转的角($\phi$)发生改变时，会在对应方向的球面上框出一片区域，该区域对应的立体角即为微分立体角</p>
|
||
<p><img src="../../images/differential_solid_angles1.png" alt=""></p>
|
||
<p>对于球体$S^2$:
|
||
$$\Omega = \int_{S^2} {d\omega} = \int_0^{2\pi} \int_0^{\pi} {\sin\theta d{\theta} d{\phi}} = 4\pi$$</p>
|
||
<p>在辐射度量中，我们也会用$\omega$表示三维空间中的一个方向，可以使用$\theta和\phi$的方式来定义其位置，并利用$\sin \theta d_{\theta} d_{\phi}$来计算微分立体角</p>
|
||
<p><img src="../../images/differential_solid_angles_w.png" alt=""></p>
|
||
<h4 id="光强intensity"><a href="#光强intensity" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>光强(Intensity)</h4>
|
||
<p>定义一个点光源的亮度可以定义其Flux，所以光强即为这个光源在任何一个方向上的亮度</p>
|
||
<p>对所有方向上单位立体角的光强进行积分就可以得到Flux(poweer)</p>
|
||
<p>$$\Phi = \int_{S^2} {Id\omega} = 4\pi I$$</p>
|
||
<p>对于各向同性光源(点光源向各个方向均匀地辐射出能量)</p>
|
||
<p>$$I = \frac{\Phi}{4\pi}$$</p>
|
||
<p><img src="../../images/Isotropic_Point_source.png" alt=""></p>
|
||
<h4 id="现代led灯实例"><a href="#现代led灯实例" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>现代LED灯实例</h4>
|
||
<p>对于下图中的LED灯，可见：</p>
|
||
<p>标注输出815流明，11瓦功率相当于白炽灯60瓦功率</p>
|
||
<p>假设其为各向同性光源</p>
|
||
<p>Itensity = 815 lumens / 4pi sr = 65 candelas</p>
|
||
<p><img src="../../images/modern_LED.png" alt=""></p>
|
||
<h4 id="辐照度irradiance"><a href="#辐照度irradiance" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>辐照度(Irradiance)</h4>
|
||
<p>定义：单位面积内的能量</p>
|
||
<p><img src="../../images/Irradiance_define.png" alt=""></p>
|
||
<p>单位面积需与入射光线垂直才算是接收到的范围，否则要将其投影到垂直的方向</p>
|
||
<p>例如Lambert's Cosine Law中平行光打到单位面上如果垂直则可以接收到6根光线，平面若倾斜则只能接收到三个光线，接收到的能量要乘以$\cos \theta$</p>
|
||
<p><img src="../../images/Lambert_cosine_law_irradiance.png" alt=""></p>
|
||
<hr>
|
||
<p>基于辐照度来理解光照衰减</p>
|
||
<p>定义光源的power为$\phi$,认为其往各个方向都是均等地辐射出能量</p>
|
||
<p>之前普遍理解为能量分布在球壳上，壳越大则每个地方分布的能量越少</p>
|
||
<p>采用辐照度则认为对于最中间的球壳来说，其半径为1，则下图中该点出的辐照度为$E = \phi / (4\pi 1^2 )$,球壳半径为r时，辐照度为$\phi / (4 \pi r^2)$,也就等于$E/r^2$</p>
|
||
<p><img src="../../images/Irradiance_Fallof.png" alt=""></p>
|
||
<p>由此可得出并非Idensity在衰减，而是Irradiance在衰减</p>
|
||
<h4 id="辐射radiance"><a href="#辐射radiance" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>辐射(Radiance)</h4>
|
||
<p>定义：单位立体角下每单位面积下的power</p>
|
||
<p><img src="../../images/radiance_define.png" alt=""></p>
|
||
<p>由此可知power需要进行两次微分，一次立体角，一次投影后单位面积</p>
|
||
<p>intensity、radiance和irradiance的联系</p>
|
||
<p>Intensity:每单位角power</p>
|
||
<p>Irradiance:每单位投影面积的power</p>
|
||
<p>Radiance：每单位投影面积的Intensity</p>
|
||
<p>Radiance: 每单位角的Irradiance</p>
|
||
<h4 id="入射辐射incident-radiance"><a href="#入射辐射incident-radiance" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>入射辐射(Incident Radiance)</h4>
|
||
<p>从一个方向打到一个很小的面上的能量，即为入射辐射</p>
|
||
<p><img src="../../images/Incident_radiance_define.png" alt=""></p>
|
||
<p>是沿着给定光线到达表面的光(给定表面上的点和入射方向)</p>
|
||
<h4 id="出射辐射exiting-radiance"><a href="#出射辐射exiting-radiance" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>出射辐射(Exiting Radiance)</h4>
|
||
<p>王某一个方向(立体角)辐射的能量即为出射辐射</p>
|
||
<p><img src="../../images/Exiting_radiance_define.png" alt=""></p>
|
||
<p>是沿着给定光线到达表面的光(给定表面上的点和出射方向)</p>
|
||
<h4 id="irradiance-和-radiance-的区别"><a href="#irradiance-和-radiance-的区别" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>irradiance 和 Radiance 的区别</h4>
|
||
<p>irradiance: dA收到的所有能量</p>
|
||
<p>radiance: dA从某一个方向收到的能量</p>
|
||
<p>E(p)即为irradiance,等于所有方向上的Radiance的和</p>
|
||
<p><img src="../../images/Irradiance_vs_radiance.png" alt=""></p>
|
||
|
||
</div>
|
||
|
||
|
||
|
||
|
||
</article>
|
||
|
||
|
||
|
||
|
||
<div class="updated-badge-container">
|
||
<span title="Updated @ 2023-06-18 21:19:01 CST" style="cursor:help">
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" width="130" height="20" class="updated-badge"><linearGradient id="b" x2="0" y2="100%"><stop offset="0" stop-color="#bbb" stop-opacity=".1"/><stop offset="1" stop-opacity=".1"/></linearGradient><clipPath id="a"><rect width="130" height="20" rx="3" fill="#fff"/></clipPath><g clip-path="url(#a)"><path class="updated-badge-left" d="M0 0h55v20H0z"/><path class="updated-badge-right" d="M55 0h75v20H55z"/><path fill="url(#b)" d="M0 0h130v20H0z"/></g><g fill="#fff" text-anchor="middle" font-size="110"><text x="285" y="150" fill="#010101" fill-opacity=".3" textLength="450" transform="scale(.1)">updated</text><text x="285" y="140" textLength="450" transform="scale(.1)">updated</text><text x="915" y="150" fill="#010101" fill-opacity=".3" textLength="650" transform="scale(.1)">2023-06-18</text><text x="915" y="140" textLength="650" transform="scale(.1)">2023-06-18</text></g></svg>
|
||
</span></div>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<ul class="post-nav">
|
||
|
||
<li class="post-nav-prev">
|
||
<a href="/computergraphic/%E5%8F%8C%E5%90%91%E5%8F%8D%E5%B0%84%E5%88%86%E5%B8%83%E5%87%BD%E6%95%B0/" rel="prev">< 双向反射分布函数(BRDF)</a>
|
||
</li>
|
||
|
||
|
||
<li class="post-nav-next">
|
||
<a href="/computergraphic/%E5%85%89%E7%BA%BF%E8%BF%BD%E8%B8%AA%E5%8A%A0%E9%80%9F%E7%BB%93%E6%9E%84%E5%92%8C%E7%AE%97%E6%B3%95/" rel="next">光线追踪加速结构/算法 ></a>
|
||
</li>
|
||
|
||
</ul>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</main>
|
||
|
||
|
||
|
||
<div id="back-to-top" class="back-to-top">
|
||
<a href="#"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon arrow-up"><path d="M34.9 289.5l-22.2-22.2c-9.4-9.4-9.4-24.6 0-33.9L207 39c9.4-9.4 24.6-9.4 33.9 0l194.3 194.3c9.4 9.4 9.4 24.6 0 33.9L413 289.4c-9.5 9.5-25 9.3-34.3-.4L264 168.6V456c0 13.3-10.7 24-24 24h-32c-13.3 0-24-10.7-24-24V168.6L69.2 289.1c-9.3 9.8-24.8 10-34.3.4z"/></svg></a>
|
||
</div>
|
||
|
||
|
||
|
||
<footer id="footer" class="footer">
|
||
<div class="footer-inner">
|
||
<div class="site-info">© 2022–2023 <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon footer-icon"><path d="M462.3 62.6C407.5 15.9 326 24.3 275.7 76.2L256 96.5l-19.7-20.3C186.1 24.3 104.5 15.9 49.7 62.6c-62.8 53.6-66.1 149.8-9.9 207.9l193.5 199.8c12.5 12.9 32.8 12.9 45.3 0l193.5-199.8c56.3-58.1 53-154.3-9.8-207.9z"/></svg> InkSoul</div><div class="powered-by">Powered by <a href="https://github.com/gohugoio/hugo" target="_blank" rel="noopener">Hugo</a> | Theme is <a href="https://github.com/reuixiy/hugo-theme-meme" target="_blank" rel="noopener">MemE</a></div><div class="site-copyright"><a href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.zh" target="_blank" rel="noopener">CC BY-NC-SA 4.0</a></div><div class="custom-footer"><a href="https://beian.miit.gov.cn" target="_blank" rel="noopener">闽ICP备2022009452号-1</a></div>
|
||
|
||
|
||
|
||
<ul class="socials"><li class="socials-item">
|
||
<a href="mailto:qingci30@163.com" target="_blank" rel="external noopener" title="Email"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon social-icon"><path d="M464 64H48C21.49 64 0 85.49 0 112v288c0 26.51 21.49 48 48 48h416c26.51 0 48-21.49 48-48V112c0-26.51-21.49-48-48-48zm0 48v40.805c-22.422 18.259-58.168 46.651-134.587 106.49-16.841 13.247-50.201 45.072-73.413 44.701-23.208.375-56.579-31.459-73.413-44.701C106.18 199.465 70.425 171.067 48 152.805V112h416zM48 400V214.398c22.914 18.251 55.409 43.862 104.938 82.646 21.857 17.205 60.134 55.186 103.062 54.955 42.717.231 80.509-37.199 103.053-54.947 49.528-38.783 82.032-64.401 104.947-82.653V400H48z"/></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="https://github.com/ink-soul" target="_blank" rel="external noopener" title="GitHub"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="icon social-icon"><path d="M12 .297c-6.63 0-12 5.373-12 12 0 5.303 3.438 9.8 8.205 11.385.6.113.82-.258.82-.577 0-.285-.01-1.04-.015-2.04-3.338.724-4.042-1.61-4.042-1.61C4.422 18.07 3.633 17.7 3.633 17.7c-1.087-.744.084-.729.084-.729 1.205.084 1.838 1.236 1.838 1.236 1.07 1.835 2.809 1.305 3.495.998.108-.776.417-1.305.76-1.605-2.665-.3-5.466-1.332-5.466-5.93 0-1.31.465-2.38 1.235-3.22-.135-.303-.54-1.523.105-3.176 0 0 1.005-.322 3.3 1.23.96-.267 1.98-.399 3-.405 1.02.006 2.04.138 3 .405 2.28-1.552 3.285-1.23 3.285-1.23.645 1.653.24 2.873.12 3.176.765.84 1.23 1.91 1.23 3.22 0 4.61-2.805 5.625-5.475 5.92.42.36.81 1.096.81 2.22 0 1.606-.015 2.896-.015 3.286 0 .315.21.69.825.57C20.565 22.092 24 17.592 24 12.297c0-6.627-5.373-12-12-12"/></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="http://gitea.inksoul.top/inksoul" target="_blank" rel="external noopener" title="gitea"><svg class="icon social-icon" fill="none" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M4.209 4.603c-.247 0-.525.02-.84.088-.333.07-1.28.283-2.054 1.027C-.403 7.25.035 9.685.089 10.052c.065.446.263 1.687 1.21 2.768 1.749 2.141 5.513 2.092 5.513 2.092s.462 1.103 1.168 2.119c.955 1.263 1.936 2.248 2.89 2.367 2.406 0 7.212-.004 7.212-.004s.458.004 1.08-.394c.535-.324 1.013-.893 1.013-.893s.492-.527 1.18-1.73c.21-.37.385-.729.538-1.068 0 0 2.107-4.471 2.107-8.823-.042-1.318-.367-1.55-.443-1.627-.156-.156-.366-.153-.366-.153s-4.475.252-6.792.306c-.508.011-1.012.023-1.512.027v4.474l-.634-.301c0-1.39-.004-4.17-.004-4.17-1.107.016-3.405-.084-3.405-.084s-5.399-.27-5.987-.324c-.187-.011-.401-.032-.648-.032zm.354 1.832h.111s.271 2.269.6 3.597C5.549 11.147 6.22 13 6.22 13s-.996-.119-1.641-.348c-.99-.324-1.409-.714-1.409-.714s-.73-.511-1.096-1.52C1.444 8.73 2.021 7.7 2.021 7.7s.32-.859 1.47-1.145c.395-.106.863-.12 1.072-.12zm8.33 2.554c.26.003.509.127.509.127l.868.422-.529 1.075a.686.686 0 0 0-.614.359.685.685 0 0 0 .072.756l-.939 1.924a.69.69 0 0 0-.66.527.687.687 0 0 0 .347.763.686.686 0 0 0 .867-.206.688.688 0 0 0-.069-.882l.916-1.874a.667.667 0 0 0 .237-.02.657.657 0 0 0 .271-.137 8.826 8.826 0 0 1 1.016.512.761.761 0 0 1 .286.282c.073.21-.073.569-.073.569-.087.29-.702 1.55-.702 1.55a.692.692 0 0 0-.676.477.681.681 0 1 0 1.157-.252c.073-.141.141-.282.214-.431.19-.397.515-1.16.515-1.16.035-.066.218-.394.103-.814-.095-.435-.48-.638-.48-.638-.467-.301-1.116-.58-1.116-.58s0-.156-.042-.27a.688.688 0 0 0-.148-.241l.516-1.062 2.89 1.401s.48.218.583.619c.073.282-.019.534-.069.657-.24.587-2.1 4.317-2.1 4.317s-.232.554-.748.588a1.065 1.065 0 0 1-.393-.045l-.202-.08-4.31-2.1s-.417-.218-.49-.596c-.083-.31.104-.691.104-.691l2.073-4.272s.183-.37.466-.497a.855.855 0 0 1 .35-.077z" ></path></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="https://space.bilibili.com/262369930" target="_blank" rel="external noopener" title="bilibili"><svg class="icon social-icon" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M17.813 4.653h.854c1.51.054 2.769.578 3.773 1.574 1.004.995 1.524 2.249 1.56 3.76v7.36c-.036 1.51-.556 2.769-1.56 3.773s-2.262 1.524-3.773 1.56H5.333c-1.51-.036-2.769-.556-3.773-1.56S.036 18.858 0 17.347v-7.36c.036-1.511.556-2.765 1.56-3.76 1.004-.996 2.262-1.52 3.773-1.574h.774l-1.174-1.12a1.234 1.234 0 0 1-.373-.906c0-.356.124-.658.373-.907l.027-.027c.267-.249.573-.373.92-.373.347 0 .653.124.92.373L9.653 4.44c.071.071.134.142.187.213h4.267a.836.836 0 0 1 .16-.213l2.853-2.747c.267-.249.573-.373.92-.373.347 0 .662.151.929.4.267.249.391.551.391.907 0 .355-.124.657-.373.906zM5.333 7.24c-.746.018-1.373.276-1.88.773-.506.498-.769 1.13-.786 1.894v7.52c.017.764.28 1.395.786 1.893.507.498 1.134.756 1.88.773h13.334c.746-.017 1.373-.275 1.88-.773.506-.498.769-1.129.786-1.893v-7.52c-.017-.765-.28-1.396-.786-1.894-.507-.497-1.134-.755-1.88-.773zM8 11.107c.373 0 .684.124.933.373.25.249.383.569.4.96v1.173c-.017.391-.15.711-.4.96-.249.25-.56.374-.933.374s-.684-.125-.933-.374c-.25-.249-.383-.569-.4-.96V12.44c0-.373.129-.689.386-.947.258-.257.574-.386.947-.386zm8 0c.373 0 .684.124.933.373.25.249.383.569.4.96v1.173c-.017.391-.15.711-.4.96-.249.25-.56.374-.933.374s-.684-.125-.933-.374c-.25-.249-.383-.569-.4-.96V12.44c.017-.391.15-.711.4-.96.249-.249.56-.373.933-.373Z"/></svg></a>
|
||
</li></ul>
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</footer>
|
||
|
||
|
||
</div>
|
||
<script>
|
||
if ('serviceWorker' in navigator) {
|
||
window.addEventListener('load', function() {
|
||
navigator.serviceWorker.register('\/sw.js');
|
||
});
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
<link rel="stylesheet" href="https://fastly.jsdelivr.net/npm/katex@0.13.0/dist/katex.min.css" integrity="sha256-gPJfuwTULrEAAcI3X4bALVU/2qBU+QY/TpoD3GO+Exw=" crossorigin="anonymous">
|
||
|
||
<script>
|
||
if (typeof renderMathInElement === 'undefined') {
|
||
var getScript = (options) => {
|
||
var script = document.createElement('script');
|
||
script.defer = true;
|
||
script.crossOrigin = 'anonymous';
|
||
Object.keys(options).forEach((key) => {
|
||
script[key] = options[key];
|
||
});
|
||
document.body.appendChild(script);
|
||
};
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/katex.min.js',
|
||
integrity: 'sha256-YTW9cMncW/ZQMhY69KaUxIa2cPTxV87Uh627Gf5ODUw=',
|
||
onload: () => {
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/contrib/mhchem.min.js',
|
||
integrity: 'sha256-yzSfYeVsWJ1x+2g8CYHsB/Mn7PcSp8122k5BM4T3Vxw=',
|
||
onload: () => {
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/contrib/auto-render.min.js',
|
||
integrity: 'sha256-fxJzNV6hpc8tgW8tF0zVobKa71eTCRGTgxFXt1ZpJNM=',
|
||
onload: () => {
|
||
renderKaTex();
|
||
}
|
||
});
|
||
}
|
||
});
|
||
}
|
||
});
|
||
} else {
|
||
renderKaTex();
|
||
}
|
||
function renderKaTex() {
|
||
renderMathInElement(
|
||
document.body,
|
||
{
|
||
delimiters: [
|
||
{left: "$$", right: "$$", display: true},
|
||
{left: "\\[", right: "\\]", display: true},
|
||
{left: "$", right: "$", display: false},
|
||
{left: "\\(", right: "\\)", display: false}
|
||
]
|
||
}
|
||
);
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<script src="https://fastly.jsdelivr.net/npm/medium-zoom@latest/dist/medium-zoom.min.js"></script>
|
||
|
||
<script>
|
||
let imgNodes = document.querySelectorAll('div.post-body img');
|
||
imgNodes = Array.from(imgNodes).filter(node => node.parentNode.tagName !== "A");
|
||
|
||
mediumZoom(imgNodes, {
|
||
background: 'hsla(var(--color-bg-h), var(--color-bg-s), var(--color-bg-l), 0.95)'
|
||
})
|
||
</script>
|
||
|
||
|
||
|
||
|
||
<script src="https://fastly.jsdelivr.net/npm/instant.page@5.1.0/instantpage.min.js" type="module" defer></script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</body>
|
||
</html>
|