import{_ as c,c as a,a as x,b as m,d as s,e as t,f as n,r as e,o as i}from"./app-Bj0iHonY.js";const u="/assets/transformation_pipeline-YtoCz4fJ.png",d="/assets/view_transform-pr23mdSz.svg",o="/assets/proj_transform-CKWeqHdM.svg",r="/assets/proj_transform_1-YDn8lTVM.svg",p="/assets/proj_transform_2-wJzpGoAn.svg",g="/assets/proj_transform_3-qj92WLVu.svg",y={};function h(b,l){const j=e("RouteLink");return i(),a("div",null,[l[7]||(l[7]=x('<h1 id="几何变换-四" tabindex="-1"><a class="header-anchor" href="#几何变换-四"><span>几何变换(四）</span></a></h1><hr><h2 id="_8-视图变换管线概览" tabindex="-1"><a class="header-anchor" href="#_8-视图变换管线概览"><span>8. 视图变换管线概览</span></a></h2><p>一个物体从独立的物体最终转换为2D图像，期间经过如下坐标变换</p><figure><img src="'+u+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><ul><li>Modeling transformation: 由局部坐标系(Local Space)转换为世界坐标系(World Space)</li><li>Viewing transformation: 由世界坐标系(World Space)转换为摄像机坐标系(View Space)</li><li>Projection transformation: 由摄像机坐标系（View Space)转换为标准设备坐标系NDC(Normalized Device Coordinate)</li><li>Viewport transformation: 由NDC坐标系转换为视口坐标系(Screen coordinate System)</li></ul><h2 id="_9-摄像机视图变换-viewing-camera-transformation" tabindex="-1"><a class="header-anchor" href="#_9-摄像机视图变换-viewing-camera-transformation"><span>9. 摄像机视图变换（Viewing/Camera Transformation)</span></a></h2><h3 id="_9-1-定义" tabindex="-1"><a class="header-anchor" href="#_9-1-定义"><span>9.1 定义</span></a></h3><p>视图变换是将物体的世界坐标系转换到摄像机的坐标系</p><figure><img src="'+d+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><p>摄像机坐标系以观察点(eye)为原点，向前方向为-z轴，x轴指向右侧（右手坐标系） 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id="_10-2-求解过程" tabindex="-1"><a class="header-anchor" href="#_10-2-求解过程"><span>10.2 求解过程</span></a></h3><h4 id="_10-2-1-从视锥体到立方体" tabindex="-1"><a class="header-anchor" href="#_10-2-1-从视锥体到立方体"><span>10.2.1 从视锥体到立方体</span></a></h4><figure><img src="'+r+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure>',3)),l[17]||(l[17]=m("p",null,[s("设摄像机坐标系中的点"),m("mjx-container",{class:"MathJax",jax:"CHTML",style:{position:"relative"}},[m("mjx-math",{class:"MJX-TEX","aria-hidden":"true"},[m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D45D TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c28"})]),m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D465 TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c2C"})]),m("mjx-mi",{class:"mjx-i",space:"2"},[m("mjx-c",{class:"mjx-c1D466 TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c2C"})]),m("mjx-mi",{class:"mjx-i",space:"2"},[m("mjx-c",{class:"mjx-c1D467 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