茂之钳
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 <span id="projectnumber">3.1.0</span>
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<div class="title">nurbs_surface.h</div> </div>
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<a href="nurbs__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>
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<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>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include "<a class="code" href="bspline__curve_8h.html">vde/curves/bspline_curve.h</a>"</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "<a class="code" href="nurbs__curve_8h.html">vde/curves/nurbs_curve.h</a>"</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#include <array></span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1curves.html">vde::curves</a> {</div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">core::Point3D</a>;</div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">core::Vector3D</a>;</div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  </div>
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<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html"> 24</a></span> <span class="keyword">class </span><a class="code" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23"> 38</a></span>  <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#aec7b5095337d5a19831d10c70a2f3e23">NurbsSurface</a>(std::vector<std::vector<Point3D>> control_grid,</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  std::vector<double> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">knots_u</a>, std::vector<double> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">knots_v</a>,</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  std::vector<std::vector<double>> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">weights</a>,</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">degree_u</a>, <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">degree_v</a>);</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a63a1b12f9e6efca9b3b7bc1bb69661bf"> 49</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a63a1b12f9e6efca9b3b7bc1bb69661bf">evaluate</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a6a7c1b3493bf5ac9303ee8c008541147"> 57</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a6a7c1b3493bf5ac9303ee8c008541147">derivative_u</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#afbcf23fc3c7308bd734a4371e9b71bba"> 65</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#afbcf23fc3c7308bd734a4371e9b71bba">derivative_v</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a2db98f16640f9413d1d46d2569073aa4"> 73</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a2db98f16640f9413d1d46d2569073aa4">normal</a>(<span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a"> 79</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">degree_u</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> degree_u_; }</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f"> 85</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">degree_v</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> degree_v_; }</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
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<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#aed017258f17d108c3086010822313f83"> 91</a></span>  [[nodiscard]] std::array<int, 2> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#aed017258f17d108c3086010822313f83">num_control_points</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">return</span> {<span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(cp_.size()), <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(cp_.empty()?0:cp_[0].size())};</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
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<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc"> 99</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<double>& <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">knots_u</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> knots_u_; }</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9"> 105</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<double>& <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">knots_v</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> knots_v_; }</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#ab0bf95cc9ca6f2297fe455f982703f31"> 111</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<std::vector<Point3D>>& <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#ab0bf95cc9ca6f2297fe455f982703f31">control_points</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cp_; }</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff"> 117</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<std::vector<double>>& <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a64bb35b6d22edb50bd08e40a5d343cff">weights</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> weights_; }</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
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<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#af53b490ee6741cbe9f59dd529e9deeeb"> 127</a></span>  <span class="keyword">static</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#af53b490ee6741cbe9f59dd529e9deeeb">ruled</a>(<span class="keyword">const</span> <a class="code" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a>& c1, <span class="keyword">const</span> <a class="code" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a>& c2);</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
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<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440"> 141</a></span>  <span class="keyword">static</span> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html">NurbsSurface</a> <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#a7bdac10dc5fccfce9390818f9abe9440">revolve</a>(<span class="keyword">const</span> <a class="code" href="classvde_1_1curves_1_1NurbsCurve.html">NurbsCurve</a>& profile, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& axis_origin,</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& axis_dir, <span class="keywordtype">double</span> angle_rad);</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  [[nodiscard]] std::pair<std::vector<Point3D>, std::vector<std::array<int,3>>></div>
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<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291"> 153</a></span>  <a class="code" href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291">tessellate</a>(<span class="keywordtype">int</span> res_u, <span class="keywordtype">int</span> res_v) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  std::vector<std::vector<Point3D>> cp_; </div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  std::vector<double> knots_u_, knots_v_; </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::vector<std::vector<double>> weights_; </div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordtype">int</span> degree_u_, degree_v_; </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> };</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> } <span class="comment">// namespace vde::curves</span></div>
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<div class="ttc" id="abspline__curve_8h_html"><div class="ttname"><a href="bspline__curve_8h.html">bspline_curve.h</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsCurve_html"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsCurve.html">vde::curves::NurbsCurve</a></div><div class="ttdoc">NURBS 曲线（Non-Uniform Rational B-Spline）</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__curve_8h_source.html#l00026">nurbs_curve.h:26</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html">vde::curves::NurbsSurface</a></div><div class="ttdoc">NURBS 张量积曲面</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00024">nurbs_surface.h:24</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a2db98f16640f9413d1d46d2569073aa4"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a2db98f16640f9413d1d46d2569073aa4">vde::curves::NurbsSurface::normal</a></div><div class="ttdeci">Vector3D normal(double u, double v) const</div><div class="ttdoc">单位法向量</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a33f6783b3b8f9a94cbc67715023cc34a"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a33f6783b3b8f9a94cbc67715023cc34a">vde::curves::NurbsSurface::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="nurbs__surface_8h_source.html#l00079">nurbs_surface.h:79</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a41faea6ee8c5af45774fb7d4ce5241a9"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a41faea6ee8c5af45774fb7d4ce5241a9">vde::curves::NurbsSurface::knots_v</a></div><div class="ttdeci">const std::vector< double > & knots_v() const</div><div class="ttdoc">v 向节点向量</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00105">nurbs_surface.h:105</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a63a1b12f9e6efca9b3b7bc1bb69661bf"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a63a1b12f9e6efca9b3b7bc1bb69661bf">vde::curves::NurbsSurface::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>
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<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>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a6a7c1b3493bf5ac9303ee8c008541147"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a6a7c1b3493bf5ac9303ee8c008541147">vde::curves::NurbsSurface::derivative_u</a></div><div class="ttdeci">Vector3D derivative_u(double u, double v) const</div><div class="ttdoc">u 向偏导数</div></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 class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_a9521000400b99d6198cee4023c46ca9f"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#a9521000400b99d6198cee4023c46ca9f">vde::curves::NurbsSurface::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="nurbs__surface_8h_source.html#l00085">nurbs_surface.h:85</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_aaf8908988e144edfc6597792299c66bc"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#aaf8908988e144edfc6597792299c66bc">vde::curves::NurbsSurface::knots_u</a></div><div class="ttdeci">const std::vector< double > & knots_u() const</div><div class="ttdoc">u 向节点向量</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00099">nurbs_surface.h:99</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_ab0bf95cc9ca6f2297fe455f982703f31"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#ab0bf95cc9ca6f2297fe455f982703f31">vde::curves::NurbsSurface::control_points</a></div><div class="ttdeci">const std::vector< std::vector< Point3D > > & control_points() const</div><div class="ttdoc">控制点网格访问</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00111">nurbs_surface.h:111</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_ac8fcef290d2fadee4822514380889291"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#ac8fcef290d2fadee4822514380889291">vde::curves::NurbsSurface::tessellate</a></div><div class="ttdeci">std::pair< std::vector< Point3D >, std::vector< std::array< int, 3 > > > tessellate(int res_u, int res_v) const</div><div class="ttdoc">将 NURBS 曲面三角化</div></div>
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<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>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_aed017258f17d108c3086010822313f83"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#aed017258f17d108c3086010822313f83">vde::curves::NurbsSurface::num_control_points</a></div><div class="ttdeci">std::array< int, 2 > num_control_points() const</div><div class="ttdoc">控制点数量</div><div class="ttdef"><b>Definition:</b> <a href="nurbs__surface_8h_source.html#l00091">nurbs_surface.h:91</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_af53b490ee6741cbe9f59dd529e9deeeb"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#af53b490ee6741cbe9f59dd529e9deeeb">vde::curves::NurbsSurface::ruled</a></div><div class="ttdeci">static NurbsSurface ruled(const NurbsCurve &c1, const NurbsCurve &c2)</div><div class="ttdoc">由两条 NURBS 曲线创建直纹面</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1NurbsSurface_html_afbcf23fc3c7308bd734a4371e9b71bba"><div class="ttname"><a href="classvde_1_1curves_1_1NurbsSurface.html#afbcf23fc3c7308bd734a4371e9b71bba">vde::curves::NurbsSurface::derivative_v</a></div><div class="ttdeci">Vector3D derivative_v(double u, double v) const</div><div class="ttdoc">v 向偏导数</div></div>
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<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>
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<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>
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<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>
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<div class="ttc" id="anurbs__curve_8h_html"><div class="ttname"><a href="nurbs__curve_8h.html">nurbs_curve.h</a></div></div>
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<div class="ttc" id="apoint_8h_html"><div class="ttname"><a href="point_8h.html">point.h</a></div></div>
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