2 lines
80 KiB
JavaScript
2 lines
80 KiB
JavaScript
import{_ as n,c as t,a as l,b as a,d as T,e,f as o,r as s,o as m}from"./app-Di6K-ctW.js";const r="/assets/transform_normal-BoPThMlc.svg",H={},g={class:"MathJax",jax:"SVG",style:{position:"relative"}},h={style:{"vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.725ex",height:"2.667ex",role:"img",focusable:"false",viewBox:"0 -1097 2972.6 1179","aria-hidden":"true"},i={class:"MathJax",jax:"SVG",style:{position:"relative"}},p={style:{"vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.937ex",height:"2.12ex",role:"img",focusable:"false",viewBox:"0 -855 3950 937","aria-hidden":"true"},c={class:"MathJax",jax:"SVG",style:{position:"relative"}},V={style:{"vertical-align":"-0.667ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.434ex",height:"2.364ex",role:"img",focusable:"false",viewBox:"0 -750 6379.6 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tabindex="-1"><a class="header-anchor" href="#_7-法线变换"><span>7. 法线变换</span></a></h2><p>做几何变换时，法线比较特殊，需要保证法线经过变换之后仍然垂直于原先的切平面，如果使用和顶点变换相同的变换，无法保证这一点</p><h3 id="_7-1-举例" tabindex="-1"><a class="header-anchor" href="#_7-1-举例"><span>7.1 举例</span></a></h3><figure><img src="'+r+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure><p>如图，线段ab经过放缩变换之后成为a'b'，但法线经过同样的放缩矩阵变换之后发生错误，实际法线需要另外的矩阵计算</p><h3 id="_7-2-法线变换矩阵" tabindex="-1"><a class="header-anchor" href="#_7-2-法线变换矩阵"><span>7.2 法线变换矩阵</span></a></h3>',8)),a("p",null,[Q[17]||(Q[17]=T("以上图为例，设")),a("mjx-container",g,[(m(),t("svg",h,Q[0]||(Q[0]=[l('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D496" d="M189 389Q189 397 187 399T176 401Q150 399 126 372T89 304Q84 288 81 285T61 282H55H44Q24 282 24 296Q24 307 35 331T65 383T117 431T187 452Q237 452 272 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