茂之钳
154 lines
18 KiB
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154 lines
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<a href="bspline__curve_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 <vector></span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>  </div>
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<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>
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<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>
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<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>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html"> 23</a></span> <span class="keyword">class </span><a class="code" href="classvde_1_1curves_1_1BSplineCurve.html">BSplineCurve</a> {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#ac122dfe6b9515f29d0415ae8c6918984"> 36</a></span>  <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#ac122dfe6b9515f29d0415ae8c6918984">BSplineCurve</a>(std::vector<Point3D> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a04741a3297bbd26c5ab8ac712fc86906">control_points</a>,</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  std::vector<double> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#ae2f04689aac05a5cc631daa2d4d2661b">knots</a>, <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a4139f8b3b8bd315c5506136681e60273">degree</a>);</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#aa16013651a9b35a2f755c56b94436278"> 45</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#aa16013651a9b35a2f755c56b94436278">evaluate</a>(<span class="keywordtype">double</span> t) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#a2fd32824beffc6ed33e731d1aba6288f"> 57</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a2fd32824beffc6ed33e731d1aba6288f">derivative</a>(<span class="keywordtype">double</span> t, <span class="keywordtype">int</span> order = 1) <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="l00063"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#a4139f8b3b8bd315c5506136681e60273"> 63</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a4139f8b3b8bd315c5506136681e60273">degree</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> degree_; }</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#a020663a039886ef2b17009405e5db855"> 69</a></span>  [[nodiscard]] std::pair<double, double> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a020663a039886ef2b17009405e5db855">domain</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#a04741a3297bbd26c5ab8ac712fc86906"> 75</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<Point3D>& <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a04741a3297bbd26c5ab8ac712fc86906">control_points</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cp_; }</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
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<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#ae2f04689aac05a5cc631daa2d4d2661b"> 81</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<double>& <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#ae2f04689aac05a5cc631daa2d4d2661b">knots</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> knots_; }</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
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<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#af4e982a7104d5a7e1df0ec94539518f1"> 93</a></span>  [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#af4e982a7104d5a7e1df0ec94539518f1">find_span</a>(<span class="keywordtype">double</span> t) <span class="keyword">const</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="l00103"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#a233f6553350307715708fff3961e535d"> 103</a></span>  [[nodiscard]] std::vector<double> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#a233f6553350307715708fff3961e535d">basis_functions</a>(<span class="keywordtype">double</span> t, <span class="keywordtype">int</span> span = -1) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineCurve.html#aacd9293d70a48686ffe89542d2343051"> 114</a></span>  [[nodiscard]] std::vector<double> <a class="code" href="classvde_1_1curves_1_1BSplineCurve.html#aacd9293d70a48686ffe89542d2343051">basis_derivatives</a>(<span class="keywordtype">double</span> t, <span class="keywordtype">int</span> span = -1) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  std::vector<Point3D> cp_; </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  std::vector<double> knots_; </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">int</span> degree_; </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> };</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> } <span class="comment">// namespace vde::curves</span></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html">vde::curves::BSplineCurve</a></div><div class="ttdoc">B 样条曲线（非有理、均匀/非均匀节点）</div><div class="ttdef"><b>Definition:</b> <a href="bspline__curve_8h_source.html#l00023">bspline_curve.h:23</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_a020663a039886ef2b17009405e5db855"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#a020663a039886ef2b17009405e5db855">vde::curves::BSplineCurve::domain</a></div><div class="ttdeci">std::pair< double, double > domain() const</div><div class="ttdoc">参数定义域</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_a04741a3297bbd26c5ab8ac712fc86906"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#a04741a3297bbd26c5ab8ac712fc86906">vde::curves::BSplineCurve::control_points</a></div><div class="ttdeci">const std::vector< Point3D > & control_points() const</div><div class="ttdoc">控制点访问</div><div class="ttdef"><b>Definition:</b> <a href="bspline__curve_8h_source.html#l00075">bspline_curve.h:75</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_a233f6553350307715708fff3961e535d"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#a233f6553350307715708fff3961e535d">vde::curves::BSplineCurve::basis_functions</a></div><div class="ttdeci">std::vector< double > basis_functions(double t, int span=-1) const</div><div class="ttdoc">在 t 处求非零基函数值</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_a2fd32824beffc6ed33e731d1aba6288f"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#a2fd32824beffc6ed33e731d1aba6288f">vde::curves::BSplineCurve::derivative</a></div><div class="ttdeci">Vector3D derivative(double t, int order=1) const</div><div class="ttdoc">在参数 t 处求导数</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_a4139f8b3b8bd315c5506136681e60273"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#a4139f8b3b8bd315c5506136681e60273">vde::curves::BSplineCurve::degree</a></div><div class="ttdeci">int degree() const</div><div class="ttdoc">曲线阶次</div><div class="ttdef"><b>Definition:</b> <a href="bspline__curve_8h_source.html#l00063">bspline_curve.h:63</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_aa16013651a9b35a2f755c56b94436278"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#aa16013651a9b35a2f755c56b94436278">vde::curves::BSplineCurve::evaluate</a></div><div class="ttdeci">Point3D evaluate(double t) const</div><div class="ttdoc">在参数 t 处求值曲线点</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_aacd9293d70a48686ffe89542d2343051"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#aacd9293d70a48686ffe89542d2343051">vde::curves::BSplineCurve::basis_derivatives</a></div><div class="ttdeci">std::vector< double > basis_derivatives(double t, int span=-1) const</div><div class="ttdoc">在 t 处求非零基函数的一阶导数</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_ac122dfe6b9515f29d0415ae8c6918984"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#ac122dfe6b9515f29d0415ae8c6918984">vde::curves::BSplineCurve::BSplineCurve</a></div><div class="ttdeci">BSplineCurve(std::vector< Point3D > control_points, std::vector< double > knots, int degree)</div><div class="ttdoc">构造 B 样条曲线</div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_ae2f04689aac05a5cc631daa2d4d2661b"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#ae2f04689aac05a5cc631daa2d4d2661b">vde::curves::BSplineCurve::knots</a></div><div class="ttdeci">const std::vector< double > & knots() const</div><div class="ttdoc">节点向量访问</div><div class="ttdef"><b>Definition:</b> <a href="bspline__curve_8h_source.html#l00081">bspline_curve.h:81</a></div></div>
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<div class="ttc" id="aclassvde_1_1curves_1_1BSplineCurve_html_af4e982a7104d5a7e1df0ec94539518f1"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineCurve.html#af4e982a7104d5a7e1df0ec94539518f1">vde::curves::BSplineCurve::find_span</a></div><div class="ttdeci">int find_span(double t) const</div><div class="ttdoc">查找 t 所在的节点区间</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="apoint_8h_html"><div class="ttname"><a href="point_8h.html">point.h</a></div></div>
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