茂之钳
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755 lines
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<a href="#pub-methods">Public 成员函数</a> |
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<a href="#pub-static-methods">静态 Public 成员函数</a> |
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<a href="classvde_1_1curves_1_1NurbsSurface-members.html">所有成员列表</a> </div>
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<div class="title">vde::curves::NurbsSurface类 参考<div class="ingroups"><a class="el" href="group__curves.html">曲线曲面模块 (vde::curves)</a></div></div> </div>
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<div class="contents">
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<p>NURBS 张量积曲面
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<a href="classvde_1_1curves_1_1NurbsSurface.html#details">更多...</a></p>
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<p><code>#include <<a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public 成员函数</h2></td></tr>
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<tr class="memitem:aec7b5095337d5a19831d10c70a2f3e23"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23">NurbsSurface</a> (std::vector< std::vector< Point3D >> control_grid, std::vector< double > <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">knots_u</a>, std::vector< double > <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">knots_v</a>, std::vector< std::vector< double >> <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">weights</a>, int <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">degree_u</a>, int <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">degree_v</a>)</td></tr>
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<tr class="memdesc:aec7b5095337d5a19831d10c70a2f3e23"><td class="mdescLeft"> </td><td class="mdescRight">构造 NURBS 曲面 <a href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23">更多...</a><br /></td></tr>
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<tr class="separator:aec7b5095337d5a19831d10c70a2f3e23"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a63a1b12f9e6efca9b3b7bc1bb69661bf"><td class="memItemLeft" align="right" valign="top">Point3D </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a63a1b12f9e6efca9b3b7bc1bb69661bf">evaluate</a> (double u, double v) const</td></tr>
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<tr class="memdesc:a63a1b12f9e6efca9b3b7bc1bb69661bf"><td class="mdescLeft"> </td><td class="mdescRight">求曲面点 S(u,v) <a href="classvde_1_1curves_1_1NurbsSurface.html#a63a1b12f9e6efca9b3b7bc1bb69661bf">更多...</a><br /></td></tr>
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<tr class="separator:a63a1b12f9e6efca9b3b7bc1bb69661bf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6a7c1b3493bf5ac9303ee8c008541147"><td class="memItemLeft" align="right" valign="top">Vector3D </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a6a7c1b3493bf5ac9303ee8c008541147">derivative_u</a> (double u, double v) const</td></tr>
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<tr class="memdesc:a6a7c1b3493bf5ac9303ee8c008541147"><td class="mdescLeft"> </td><td class="mdescRight">u 向偏导数 <a href="classvde_1_1curves_1_1NurbsSurface.html#a6a7c1b3493bf5ac9303ee8c008541147">更多...</a><br /></td></tr>
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<tr class="separator:a6a7c1b3493bf5ac9303ee8c008541147"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afbcf23fc3c7308bd734a4371e9b71bba"><td class="memItemLeft" align="right" valign="top">Vector3D </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#afbcf23fc3c7308bd734a4371e9b71bba">derivative_v</a> (double u, double v) const</td></tr>
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<tr class="memdesc:afbcf23fc3c7308bd734a4371e9b71bba"><td class="mdescLeft"> </td><td class="mdescRight">v 向偏导数 <a href="classvde_1_1curves_1_1NurbsSurface.html#afbcf23fc3c7308bd734a4371e9b71bba">更多...</a><br /></td></tr>
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<tr class="separator:afbcf23fc3c7308bd734a4371e9b71bba"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2db98f16640f9413d1d46d2569073aa4"><td class="memItemLeft" align="right" valign="top">Vector3D </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a2db98f16640f9413d1d46d2569073aa4">normal</a> (double u, double v) const</td></tr>
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<tr class="memdesc:a2db98f16640f9413d1d46d2569073aa4"><td class="mdescLeft"> </td><td class="mdescRight">单位法向量 <a href="classvde_1_1curves_1_1NurbsSurface.html#a2db98f16640f9413d1d46d2569073aa4">更多...</a><br /></td></tr>
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<tr class="separator:a2db98f16640f9413d1d46d2569073aa4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a33f6783b3b8f9a94cbc67715023cc34a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">degree_u</a> () const</td></tr>
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<tr class="memdesc:a33f6783b3b8f9a94cbc67715023cc34a"><td class="mdescLeft"> </td><td class="mdescRight">u 向阶次 <a href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">更多...</a><br /></td></tr>
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<tr class="separator:a33f6783b3b8f9a94cbc67715023cc34a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9521000400b99d6198cee4023c46ca9f"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">degree_v</a> () const</td></tr>
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<tr class="memdesc:a9521000400b99d6198cee4023c46ca9f"><td class="mdescLeft"> </td><td class="mdescRight">v 向阶次 <a href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">更多...</a><br /></td></tr>
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<tr class="separator:a9521000400b99d6198cee4023c46ca9f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aed017258f17d108c3086010822313f83"><td class="memItemLeft" align="right" valign="top">std::array< int, 2 > </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#aed017258f17d108c3086010822313f83">num_control_points</a> () const</td></tr>
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<tr class="memdesc:aed017258f17d108c3086010822313f83"><td class="mdescLeft"> </td><td class="mdescRight">控制点数量 <a href="classvde_1_1curves_1_1NurbsSurface.html#aed017258f17d108c3086010822313f83">更多...</a><br /></td></tr>
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<tr class="separator:aed017258f17d108c3086010822313f83"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaf8908988e144edfc6597792299c66bc"><td class="memItemLeft" align="right" valign="top">const std::vector< double > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">knots_u</a> () const</td></tr>
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<tr class="memdesc:aaf8908988e144edfc6597792299c66bc"><td class="mdescLeft"> </td><td class="mdescRight">u 向节点向量 <a href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">更多...</a><br /></td></tr>
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<tr class="separator:aaf8908988e144edfc6597792299c66bc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a41faea6ee8c5af45774fb7d4ce5241a9"><td class="memItemLeft" align="right" valign="top">const std::vector< double > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">knots_v</a> () const</td></tr>
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<tr class="memdesc:a41faea6ee8c5af45774fb7d4ce5241a9"><td class="mdescLeft"> </td><td class="mdescRight">v 向节点向量 <a href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">更多...</a><br /></td></tr>
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<tr class="separator:a41faea6ee8c5af45774fb7d4ce5241a9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab0bf95cc9ca6f2297fe455f982703f31"><td class="memItemLeft" align="right" valign="top">const std::vector< std::vector< Point3D > > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#ab0bf95cc9ca6f2297fe455f982703f31">control_points</a> () const</td></tr>
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<tr class="memdesc:ab0bf95cc9ca6f2297fe455f982703f31"><td class="mdescLeft"> </td><td class="mdescRight">控制点网格访问 <a href="classvde_1_1curves_1_1NurbsSurface.html#ab0bf95cc9ca6f2297fe455f982703f31">更多...</a><br /></td></tr>
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<tr class="separator:ab0bf95cc9ca6f2297fe455f982703f31"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a64bb35b6d22edb50bd08e40a5d343cff"><td class="memItemLeft" align="right" valign="top">const std::vector< std::vector< double > > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">weights</a> () const</td></tr>
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<tr class="memdesc:a64bb35b6d22edb50bd08e40a5d343cff"><td class="mdescLeft"> </td><td class="mdescRight">权重网格访问 <a href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">更多...</a><br /></td></tr>
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<tr class="separator:a64bb35b6d22edb50bd08e40a5d343cff"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac8fcef290d2fadee4822514380889291"><td class="memItemLeft" align="right" valign="top">std::pair< std::vector< Point3D >, std::vector< std::array< int, 3 > > > </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291">tessellate</a> (int res_u, int res_v) const</td></tr>
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<tr class="memdesc:ac8fcef290d2fadee4822514380889291"><td class="mdescLeft"> </td><td class="mdescRight">将 NURBS 曲面三角化 <a href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291">更多...</a><br /></td></tr>
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<tr class="separator:ac8fcef290d2fadee4822514380889291"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
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静态 Public 成员函数</h2></td></tr>
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<tr class="memitem:af53b490ee6741cbe9f59dd529e9deeeb"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#af53b490ee6741cbe9f59dd529e9deeeb">ruled</a> (const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> &c1, const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> &c2)</td></tr>
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<tr class="memdesc:af53b490ee6741cbe9f59dd529e9deeeb"><td class="mdescLeft"> </td><td class="mdescRight">由两条 NURBS 曲线创建直纹面 <a href="classvde_1_1curves_1_1NurbsSurface.html#af53b490ee6741cbe9f59dd529e9deeeb">更多...</a><br /></td></tr>
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<tr class="separator:af53b490ee6741cbe9f59dd529e9deeeb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7bdac10dc5fccfce9390818f9abe9440"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440">revolve</a> (const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> &profile, const Point3D &axis_origin, const Vector3D &axis_dir, double angle_rad)</td></tr>
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<tr class="memdesc:a7bdac10dc5fccfce9390818f9abe9440"><td class="mdescLeft"> </td><td class="mdescRight">由截面曲线旋转生成旋转曲面 <a href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440">更多...</a><br /></td></tr>
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<tr class="separator:a7bdac10dc5fccfce9390818f9abe9440"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">详细描述</h2>
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<div class="textblock"><p>NURBS 张量积曲面 </p>
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<p>由 (nu+1)×(nv+1) 控制点网格、权重网格、u/v 节点向量及阶次定义。 求值公式： S(u,v) = Σ_i Σ_j N_{i,pu}(u)·N_{j,pv}(v)·w_{ij}·P_{ij} / Σ_i Σ_j N_{i,pu}(u)·N_{j,pv}(v)·w_{ij}</p>
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<p>可精确表示球面、圆柱面、锥面等二次曲面。广泛应用于 CAD 数据交换。 </p>
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<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00024">24</a> 行定义.</p>
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</div><h2 class="groupheader">构造及析构函数说明</h2>
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<a id="aec7b5095337d5a19831d10c70a2f3e23"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aec7b5095337d5a19831d10c70a2f3e23">◆ </a></span>NurbsSurface()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">vde::curves::NurbsSurface::NurbsSurface </td>
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<td>(</td>
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<td class="paramtype">std::vector< std::vector< Point3D >> </td>
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<td class="paramname"><em>control_grid</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">std::vector< double > </td>
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<td class="paramname"><em>knots_u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">std::vector< double > </td>
|
||
<td class="paramname"><em>knots_v</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">std::vector< std::vector< double >> </td>
|
||
<td class="paramname"><em>weights</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">int </td>
|
||
<td class="paramname"><em>degree_u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">int </td>
|
||
<td class="paramname"><em>degree_v</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td></td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>构造 NURBS 曲面 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">control_grid</td><td>控制点网格 </td></tr>
|
||
<tr><td class="paramname">knots_u</td><td>u 向节点向量 </td></tr>
|
||
<tr><td class="paramname">knots_v</td><td>v 向节点向量 </td></tr>
|
||
<tr><td class="paramname">weights</td><td>权重网格，维度与 control_grid 一致，所有值 > 0 </td></tr>
|
||
<tr><td class="paramname">degree_u</td><td>u 向阶次 </td></tr>
|
||
<tr><td class="paramname">degree_v</td><td>v 向阶次 <div class="fragment"><div class="line"><a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23">NurbsSurface</a> <a class="code" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">sphere</a>(grid, u_knots, v_knots, <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">weights</a>, 3, 3);</div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a64bb35b6d22edb50bd08e40a5d343cff"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">vde::curves::NurbsSurface::weights</a></div><div class="ttdeci">const std::vector< std::vector< double > > & weights() const</div><div class="ttdoc">权重网格访问</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00117">nurbs_surface.h:117</a></div></div>
|
||
<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_aec7b5095337d5a19831d10c70a2f3e23"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23">vde::curves::NurbsSurface::NurbsSurface</a></div><div class="ttdeci">NurbsSurface(std::vector< std::vector< Point3D >> control_grid, std::vector< double > knots_u, std::vector< double > knots_v, std::vector< std::vector< double >> weights, int degree_u, int degree_v)</div><div class="ttdoc">构造 NURBS 曲面</div></div>
|
||
<div class="ttc" id="anamespacevde_1_1sdf_html_ab544a3ebc4c0844b322b73bbbe4efb3f"><div class="ttname"><a href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">vde::sdf::sphere</a></div><div class="ttdeci">double sphere(const Point3D &p, double radius)</div><div class="ttdoc">球体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00068">sdf_primitives.h:68</a></div></div>
|
||
</div><!-- fragment --> </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
|
||
</div>
|
||
</div>
|
||
<h2 class="groupheader">成员函数说明</h2>
|
||
<a id="ab0bf95cc9ca6f2297fe455f982703f31"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#ab0bf95cc9ca6f2297fe455f982703f31">◆ </a></span>control_points()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">const std::vector<std::vector<Point3D> >& vde::curves::NurbsSurface::control_points </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>控制点网格访问 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>只读引用 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00111">111</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a33f6783b3b8f9a94cbc67715023cc34a"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a33f6783b3b8f9a94cbc67715023cc34a">◆ </a></span>degree_u()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">int vde::curves::NurbsSurface::degree_u </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>u 向阶次 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>pu </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00079">79</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a9521000400b99d6198cee4023c46ca9f"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a9521000400b99d6198cee4023c46ca9f">◆ </a></span>degree_v()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">int vde::curves::NurbsSurface::degree_v </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>v 向阶次 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>pv </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00085">85</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a6a7c1b3493bf5ac9303ee8c008541147"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a6a7c1b3493bf5ac9303ee8c008541147">◆ </a></span>derivative_u()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">Vector3D vde::curves::NurbsSurface::derivative_u </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td> const</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>u 向偏导数 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">u</td><td>u 参数 </td></tr>
|
||
<tr><td class="paramname">v</td><td>v 参数 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>∂S/∂u </dd></dl>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="afbcf23fc3c7308bd734a4371e9b71bba"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#afbcf23fc3c7308bd734a4371e9b71bba">◆ </a></span>derivative_v()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">Vector3D vde::curves::NurbsSurface::derivative_v </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td> const</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>v 向偏导数 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">u</td><td>u 参数 </td></tr>
|
||
<tr><td class="paramname">v</td><td>v 参数 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>∂S/∂v </dd></dl>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a63a1b12f9e6efca9b3b7bc1bb69661bf"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a63a1b12f9e6efca9b3b7bc1bb69661bf">◆ </a></span>evaluate()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">Point3D vde::curves::NurbsSurface::evaluate </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td> const</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>求曲面点 S(u,v) </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">u</td><td>u 参数 </td></tr>
|
||
<tr><td class="paramname">v</td><td>v 参数 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>曲面上对应 (u,v) 的 3D 点 </dd></dl>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="aaf8908988e144edfc6597792299c66bc"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#aaf8908988e144edfc6597792299c66bc">◆ </a></span>knots_u()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">const std::vector<double>& vde::curves::NurbsSurface::knots_u </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>u 向节点向量 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>只读引用 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00099">99</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a41faea6ee8c5af45774fb7d4ce5241a9"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a41faea6ee8c5af45774fb7d4ce5241a9">◆ </a></span>knots_v()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">const std::vector<double>& vde::curves::NurbsSurface::knots_v </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>v 向节点向量 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>只读引用 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00105">105</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a2db98f16640f9413d1d46d2569073aa4"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a2db98f16640f9413d1d46d2569073aa4">◆ </a></span>normal()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">Vector3D vde::curves::NurbsSurface::normal </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>u</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td> const</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>单位法向量 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">u</td><td>u 参数 </td></tr>
|
||
<tr><td class="paramname">v</td><td>v 参数 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>N(u,v) = normalize(∂S/∂u × ∂S/∂v) </dd></dl>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="aed017258f17d108c3086010822313f83"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#aed017258f17d108c3086010822313f83">◆ </a></span>num_control_points()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">std::array<int, 2> vde::curves::NurbsSurface::num_control_points </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>控制点数量 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>{nu+1, nv+1}，即网格的行数和列数 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00091">91</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a7bdac10dc5fccfce9390818f9abe9440"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a7bdac10dc5fccfce9390818f9abe9440">◆ </a></span>revolve()</h2>
|
||
|
||
<div class="memitem">
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<td class="memname">static <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> vde::curves::NurbsSurface::revolve </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> & </td>
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<td class="paramname"><em>profile</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const Point3D & </td>
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<td class="paramname"><em>axis_origin</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const Vector3D & </td>
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<td class="paramname"><em>axis_dir</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>angle_rad</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
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<p>由截面曲线旋转生成旋转曲面 </p>
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<dl class="params"><dt>参数</dt><dd>
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<table class="params">
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<tr><td class="paramname">profile</td><td>截面 NURBS 曲线 </td></tr>
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<tr><td class="paramname">axis_origin</td><td>旋转轴上一点 </td></tr>
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<tr><td class="paramname">axis_dir</td><td>旋转轴方向 </td></tr>
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<tr><td class="paramname">angle_rad</td><td>旋转角度（弧度），≤ 2π </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>返回</dt><dd>旋转 NURBS 曲面 </dd></dl>
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<dl class="section note"><dt>注解</dt><dd>使用 NURBS 表示圆弧的权重方案；完整旋转生成闭曲面 <div class="fragment"><div class="line"><span class="keyword">auto</span> rev = <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440">NurbsSurface::revolve</a>(profile, origin, {0,0,1}, M_PI);</div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a7bdac10dc5fccfce9390818f9abe9440"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440">vde::curves::NurbsSurface::revolve</a></div><div class="ttdeci">static NurbsSurface revolve(const NurbsCurve &profile, const Point3D &axis_origin, const Vector3D &axis_dir, double angle_rad)</div><div class="ttdoc">由截面曲线旋转生成旋转曲面</div></div>
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</div><!-- fragment --> </dd></dl>
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</div>
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</div>
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<a id="af53b490ee6741cbe9f59dd529e9deeeb"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af53b490ee6741cbe9f59dd529e9deeeb">◆ </a></span>ruled()</h2>
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<td class="memname">static <a class="el" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> vde::curves::NurbsSurface::ruled </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> & </td>
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<td class="paramname"><em>c1</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a> & </td>
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<td class="paramname"><em>c2</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
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<p>由两条 NURBS 曲线创建直纹面 </p>
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<dl class="params"><dt>参数</dt><dd>
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||
<table class="params">
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||
<tr><td class="paramname">c1</td><td>起始曲线（v=0 边界） </td></tr>
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<tr><td class="paramname">c2</td><td>终止曲线（v=1 边界） </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>返回</dt><dd>直纹 NURBS 曲面 </dd></dl>
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<dl class="section note"><dt>注解</dt><dd>两条曲线需具有兼容的阶次和节点结构（内部做升阶和节点精化对齐） </dd></dl>
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<dl class="section see"><dt>参见</dt><dd><a class="el" href="group__curves.html#gad3cc80681a4081099a7527e524fa0bbd" title="两 NURBS 曲面沿边界边的过渡面">blend_surfaces</a> <a class="el" href="group__curves.html#ga7580a509f2049a0154a695c641a59c5a" title="两 NURBS 曲线间的直纹面">ruled_surface</a> </dd></dl>
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</div>
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</div>
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<a id="ac8fcef290d2fadee4822514380889291"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ac8fcef290d2fadee4822514380889291">◆ </a></span>tessellate()</h2>
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<td class="memname">std::pair<std::vector<Point3D>, std::vector<std::array<int,3> > > vde::curves::NurbsSurface::tessellate </td>
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<td>(</td>
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<td class="paramtype">int </td>
|
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<td class="paramname"><em>res_u</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>res_v</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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</div><div class="memdoc">
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||
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<p>将 NURBS 曲面三角化 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">res_u</td><td>u 方向采样分辨率 </td></tr>
|
||
<tr><td class="paramname">res_v</td><td>v 方向采样分辨率 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>{顶点数组, 三角形索引数组}，每个三角形为 {i0,i1,i2} </dd></dl>
|
||
<dl class="section note"><dt>注解</dt><dd>生成 res_u×res_v 均匀网格，每个单元格拆为两个三角形 </dd></dl>
|
||
<dl class="section see"><dt>参见</dt><dd><a class="el" href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291" title="将 NURBS 曲面三角化">tessellate</a> </dd></dl>
|
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||
</div>
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</div>
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<a id="a64bb35b6d22edb50bd08e40a5d343cff"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a64bb35b6d22edb50bd08e40a5d343cff">◆ </a></span>weights()</h2>
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<td class="memname">const std::vector<std::vector<double> >& vde::curves::NurbsSurface::weights </td>
|
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<td>(</td>
|
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<td class="paramname"></td><td>)</td>
|
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<td> const</td>
|
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</tr>
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</table>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">inline</span></span> </td>
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</div><div class="memdoc">
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<p>权重网格访问 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>只读引用 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a> 第 <a class="el" href="nurbs__surface_8h_source.html#l00117">117</a> 行定义.</p>
|
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</div>
|
||
</div>
|
||
<hr/>该类的文档由以下文件生成:<ul>
|
||
<li>include/vde/curves/<a class="el" href="nurbs__surface_8h_source.html">nurbs_surface.h</a></li>
|
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</ul>
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