茂之钳
144 lines
15 KiB
HTML
144 lines
15 KiB
HTML
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||
<html xmlns="http://www.w3.org/1999/xhtml">
|
||
<head>
|
||
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
||
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
||
<meta name="generator" content="Doxygen 1.9.1"/>
|
||
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
||
<title>ViewDesignEngine: include/vde/curves/bezier_surface.h 源文件</title>
|
||
<link href="tabs.css" rel="stylesheet" type="text/css"/>
|
||
<script type="text/javascript" src="jquery.js"></script>
|
||
<script type="text/javascript" src="dynsections.js"></script>
|
||
<link href="navtree.css" rel="stylesheet" type="text/css"/>
|
||
<script type="text/javascript" src="resize.js"></script>
|
||
<script type="text/javascript" src="navtreedata.js"></script>
|
||
<script type="text/javascript" src="navtree.js"></script>
|
||
<link href="search/search.css" rel="stylesheet" type="text/css"/>
|
||
<script type="text/javascript" src="search/searchdata.js"></script>
|
||
<script type="text/javascript" src="search/search.js"></script>
|
||
<link href="doxygen.css" rel="stylesheet" type="text/css" />
|
||
</head>
|
||
<body>
|
||
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
||
<div id="titlearea">
|
||
<table cellspacing="0" cellpadding="0">
|
||
<tbody>
|
||
<tr style="height: 56px;">
|
||
<td id="projectalign" style="padding-left: 0.5em;">
|
||
<div id="projectname">ViewDesignEngine
|
||
 <span id="projectnumber">3.1.0</span>
|
||
</div>
|
||
<div id="projectbrief">高性能 CAD 计算几何引擎</div>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
<!-- end header part -->
|
||
<!-- 制作者 Doxygen 1.9.1 -->
|
||
<script type="text/javascript">
|
||
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
||
var searchBox = new SearchBox("searchBox", "search",false,'搜索','.html');
|
||
/* @license-end */
|
||
</script>
|
||
<script type="text/javascript" src="menudata.js"></script>
|
||
<script type="text/javascript" src="menu.js"></script>
|
||
<script type="text/javascript">
|
||
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
||
$(function() {
|
||
initMenu('',true,false,'search.php','搜索');
|
||
$(document).ready(function() { init_search(); });
|
||
});
|
||
/* @license-end */</script>
|
||
<div id="main-nav"></div>
|
||
</div><!-- top -->
|
||
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
||
<div id="nav-tree">
|
||
<div id="nav-tree-contents">
|
||
<div id="nav-sync" class="sync"></div>
|
||
</div>
|
||
</div>
|
||
<div id="splitbar" style="-moz-user-select:none;"
|
||
class="ui-resizable-handle">
|
||
</div>
|
||
</div>
|
||
<script type="text/javascript">
|
||
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
||
$(document).ready(function(){initNavTree('bezier__surface_8h_source.html',''); initResizable(); });
|
||
/* @license-end */
|
||
</script>
|
||
<div id="doc-content">
|
||
<!-- window showing the filter options -->
|
||
<div id="MSearchSelectWindow"
|
||
onmouseover="return searchBox.OnSearchSelectShow()"
|
||
onmouseout="return searchBox.OnSearchSelectHide()"
|
||
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
||
</div>
|
||
|
||
<!-- iframe showing the search results (closed by default) -->
|
||
<div id="MSearchResultsWindow">
|
||
<iframe src="javascript:void(0)" frameborder="0"
|
||
name="MSearchResults" id="MSearchResults">
|
||
</iframe>
|
||
</div>
|
||
|
||
<div class="header">
|
||
<div class="headertitle">
|
||
<div class="title">bezier_surface.h</div> </div>
|
||
</div><!--header-->
|
||
<div class="contents">
|
||
<a href="bezier__surface_8h.html">浏览该文件的文档.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#pragma once</span></div>
|
||
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include "<a class="code" href="point_8h.html">vde/core/point.h</a>"</span></div>
|
||
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include <vector></span></div>
|
||
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>  </div>
|
||
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1curves.html">vde::curves</a> {</div>
|
||
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">core::Point3D</a>;</div>
|
||
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">core::Vector3D</a>;</div>
|
||
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  </div>
|
||
<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html"> 19</a></span> <span class="keyword">class </span><a class="code" href="classvde_1_1curves_1_1BezierSurface.html">BezierSurface</a> {</div>
|
||
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">public</span>:</div>
|
||
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a42924a75e61094ca1c9179f69407735a"> 30</a></span>  <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a42924a75e61094ca1c9179f69407735a">BezierSurface</a>(std::vector<std::vector<Point3D>> control_grid);</div>
|
||
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
|
||
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a449f820a43c4b3ed267ed50bf3d523c6"> 39</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a449f820a43c4b3ed267ed50bf3d523c6">evaluate</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
|
||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
|
||
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#afccb4ed65d78f483d1bf159ec82bbb79"> 48</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#afccb4ed65d78f483d1bf159ec82bbb79">derivative_u</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
|
||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
|
||
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a388ce9dbb5cc9487e5c33d681ee990fc"> 56</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a388ce9dbb5cc9487e5c33d681ee990fc">derivative_v</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
|
||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
|
||
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a8880613cba401e5a1416c23cefecab22"> 65</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a8880613cba401e5a1416c23cefecab22">normal</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
|
||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
|
||
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a13c65b10bc2dc6b09742e178e0bb5955"> 71</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a13c65b10bc2dc6b09742e178e0bb5955">degree_u</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(cp_.size()) - 1; }</div>
|
||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
|
||
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BezierSurface.html#a175dd533c3cc9ff6bf08c1d257cd5c8f"> 77</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BezierSurface.html#a175dd533c3cc9ff6bf08c1d257cd5c8f">degree_v</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(cp_[0].size()) - 1; }</div>
|
||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
|
||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">private</span>:</div>
|
||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  std::vector<std::vector<Point3D>> cp_; </div>
|
||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
|
||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> de_casteljau(<span class="keywordtype">double</span> t, <span class="keyword">const</span> std::vector<Point3D>& pts) <span class="keyword">const</span>;</div>
|
||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> };</div>
|
||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
|
||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> } <span class="comment">// namespace vde::curves</span></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html">vde::curves::BezierSurface</a></div><div class="ttdoc">Bézier 张量积曲面</div><div class="ttdef"><b>Definition:</b> <a href="bezier__surface_8h_source.html#l00019">bezier_surface.h:19</a></div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a13c65b10bc2dc6b09742e178e0bb5955"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a13c65b10bc2dc6b09742e178e0bb5955">vde::curves::BezierSurface::degree_u</a></div><div class="ttdeci">int degree_u() const</div><div class="ttdoc">u 向阶次</div><div class="ttdef"><b>Definition:</b> <a href="bezier__surface_8h_source.html#l00071">bezier_surface.h:71</a></div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a175dd533c3cc9ff6bf08c1d257cd5c8f"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a175dd533c3cc9ff6bf08c1d257cd5c8f">vde::curves::BezierSurface::degree_v</a></div><div class="ttdeci">int degree_v() const</div><div class="ttdoc">v 向阶次</div><div class="ttdef"><b>Definition:</b> <a href="bezier__surface_8h_source.html#l00077">bezier_surface.h:77</a></div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a388ce9dbb5cc9487e5c33d681ee990fc"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a388ce9dbb5cc9487e5c33d681ee990fc">vde::curves::BezierSurface::derivative_v</a></div><div class="ttdeci">Vector3D derivative_v(double u, double v) const</div><div class="ttdoc">v 方向偏导数 ∂S/∂v</div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a42924a75e61094ca1c9179f69407735a"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a42924a75e61094ca1c9179f69407735a">vde::curves::BezierSurface::BezierSurface</a></div><div class="ttdeci">BezierSurface(std::vector< std::vector< Point3D >> control_grid)</div><div class="ttdoc">构造 Bézier 曲面</div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a449f820a43c4b3ed267ed50bf3d523c6"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a449f820a43c4b3ed267ed50bf3d523c6">vde::curves::BezierSurface::evaluate</a></div><div class="ttdeci">Point3D evaluate(double u, double v) const</div><div class="ttdoc">求曲面点 S(u,v)</div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_a8880613cba401e5a1416c23cefecab22"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#a8880613cba401e5a1416c23cefecab22">vde::curves::BezierSurface::normal</a></div><div class="ttdeci">Vector3D normal(double u, double v) const</div><div class="ttdoc">单位法向量 N(u,v) = (∂S/∂u × ∂S/∂v) / |…|</div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1BezierSurface_html_afccb4ed65d78f483d1bf159ec82bbb79"><div class="ttname"><a href="classvde_1_1curves_1_1BezierSurface.html#afccb4ed65d78f483d1bf159ec82bbb79">vde::curves::BezierSurface::derivative_u</a></div><div class="ttdeci">Vector3D derivative_u(double u, double v) const</div><div class="ttdoc">u 方向偏导数 ∂S/∂u</div></div>
|
||
<div class="ttc" id="anamespacevde_1_1core_html_ab763c018d19e10e91a6c6d6ab2ccc8e0"><div class="ttname"><a href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">vde::core::Vector3D</a></div><div class="ttdeci">foundation::Vector3D Vector3D</div><div class="ttdoc">双精度三维向量（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00049">point.h:49</a></div></div>
|
||
<div class="ttc" id="anamespacevde_1_1core_html_ac6aed70c4b90d13f10217267cd7a1952"><div class="ttname"><a href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">vde::core::Point3D</a></div><div class="ttdeci">foundation::Point3D Point3D</div><div class="ttdoc">双精度三维点（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00031">point.h:31</a></div></div>
|
||
<div class="ttc" id="anamespacevde_1_1curves_html"><div class="ttname"><a href="namespacevde_1_1curves.html">vde::curves</a></div><div class="ttdef"><b>Definition:</b> <a href="bezier__curve_8h_source.html#l00005">bezier_curve.h:5</a></div></div>
|
||
<div class="ttc" id="apoint_8h_html"><div class="ttname"><a href="point_8h.html">point.h</a></div></div>
|
||
</div><!-- fragment --></div><!-- contents -->
|
||
</div><!-- doc-content -->
|
||
<!-- start footer part -->
|
||
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||
<ul>
|
||
<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_36dfe8171299c47a6036082559f11ede.html">vde</a></li><li class="navelem"><a class="el" href="dir_5ddc9b1922ae02936e09a62cf700143d.html">curves</a></li><li class="navelem"><a class="el" href="bezier__surface_8h.html">bezier_surface.h</a></li>
|
||
<li class="footer">生成于 2026年 七月 24日 星期五 11:21:23 , 为 ViewDesignEngine使用 <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
|
||
</ul>
|
||
</div>
|
||
</body>
|
||
</html>
|