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<a href="bspline__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>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="point_8h.html">vde/core/point.h</a>&quot;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="bspline__curve_8h.html">vde/curves/bspline_curve.h</a>&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160; </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacevde_1_1curves.html">vde::curves</a> {</div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">core::Point3D</a>;</div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">core::Vector3D</a>;</div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html"> 22</a></span>&#160;<span class="keyword">class </span><a class="code" href="classvde_1_1curves_1_1BSplineSurface.html">BSplineSurface</a> {</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#af674886573f10e61ce32ff773fa33bcf"> 38</a></span>&#160; <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#af674886573f10e61ce32ff773fa33bcf">BSplineSurface</a>(std::vector&lt;std::vector&lt;Point3D&gt;&gt; control_grid,</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; std::vector&lt;double&gt; <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a38c7007e3d83f222939a2f3137920c43">knots_u</a>, std::vector&lt;double&gt; <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a56bf525943ae92ffe09d864a0f34dc1e">knots_v</a>,</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a9b638cc5360344fe904290deb4dc6893">degree_u</a>, <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a0d30fde10aa2fc8afd5c4ae84e457b14">degree_v</a>);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#aeda5aa809291b7aebe7d99d51c5952ed"> 49</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#aeda5aa809291b7aebe7d99d51c5952ed">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="l00050"></a><span class="lineno"> 50</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#ad9417fa9d0c3021689cec08d7a1c2b01"> 57</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#ad9417fa9d0c3021689cec08d7a1c2b01">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="l00058"></a><span class="lineno"> 58</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#ad91f03172292a8d2496b125583f553e9"> 65</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#ad91f03172292a8d2496b125583f553e9">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="l00066"></a><span class="lineno"> 66</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#a8973c014d5f99d11d583de509628ec68"> 73</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a8973c014d5f99d11d583de509628ec68">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="l00074"></a><span class="lineno"> 74</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#a9b638cc5360344fe904290deb4dc6893"> 79</a></span>&#160; [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a9b638cc5360344fe904290deb4dc6893">degree_u</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> degree_u_; }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; </div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#a0d30fde10aa2fc8afd5c4ae84e457b14"> 85</a></span>&#160; [[nodiscard]] <span class="keywordtype">int</span> <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a0d30fde10aa2fc8afd5c4ae84e457b14">degree_v</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> degree_v_; }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#a38c7007e3d83f222939a2f3137920c43"> 91</a></span>&#160; [[nodiscard]] <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a38c7007e3d83f222939a2f3137920c43">knots_u</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> knots_u_; }</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classvde_1_1curves_1_1BSplineSurface.html#a56bf525943ae92ffe09d864a0f34dc1e"> 97</a></span>&#160; [[nodiscard]] <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="classvde_1_1curves_1_1BSplineSurface.html#a56bf525943ae92ffe09d864a0f34dc1e">knots_v</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> knots_v_; }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; std::vector&lt;std::vector&lt;Point3D&gt;&gt; cp_; </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; std::vector&lt;double&gt; knots_u_, knots_v_; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordtype">int</span> degree_u_, degree_v_; </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;};</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;} <span class="comment">// namespace vde::curves</span></div>
<div class="ttc" id="abspline__curve_8h_html"><div class="ttname"><a href="bspline__curve_8h.html">bspline_curve.h</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html">vde::curves::BSplineSurface</a></div><div class="ttdoc">B 样条张量积曲面(非有理)</div><div class="ttdef"><b>Definition:</b> <a href="bspline__surface_8h_source.html#l00022">bspline_surface.h:22</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_a0d30fde10aa2fc8afd5c4ae84e457b14"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#a0d30fde10aa2fc8afd5c4ae84e457b14">vde::curves::BSplineSurface::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="bspline__surface_8h_source.html#l00085">bspline_surface.h:85</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_a38c7007e3d83f222939a2f3137920c43"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#a38c7007e3d83f222939a2f3137920c43">vde::curves::BSplineSurface::knots_u</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; knots_u() const</div><div class="ttdoc">u 向节点向量</div><div class="ttdef"><b>Definition:</b> <a href="bspline__surface_8h_source.html#l00091">bspline_surface.h:91</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_a56bf525943ae92ffe09d864a0f34dc1e"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#a56bf525943ae92ffe09d864a0f34dc1e">vde::curves::BSplineSurface::knots_v</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; knots_v() const</div><div class="ttdoc">v 向节点向量</div><div class="ttdef"><b>Definition:</b> <a href="bspline__surface_8h_source.html#l00097">bspline_surface.h:97</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_a8973c014d5f99d11d583de509628ec68"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#a8973c014d5f99d11d583de509628ec68">vde::curves::BSplineSurface::normal</a></div><div class="ttdeci">Vector3D normal(double u, double v) const</div><div class="ttdoc">单位法向量</div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_a9b638cc5360344fe904290deb4dc6893"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#a9b638cc5360344fe904290deb4dc6893">vde::curves::BSplineSurface::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="bspline__surface_8h_source.html#l00079">bspline_surface.h:79</a></div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_ad91f03172292a8d2496b125583f553e9"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#ad91f03172292a8d2496b125583f553e9">vde::curves::BSplineSurface::derivative_v</a></div><div class="ttdeci">Vector3D derivative_v(double u, double v) const</div><div class="ttdoc">v 向偏导数 ∂S/∂v</div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_ad9417fa9d0c3021689cec08d7a1c2b01"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#ad9417fa9d0c3021689cec08d7a1c2b01">vde::curves::BSplineSurface::derivative_u</a></div><div class="ttdeci">Vector3D derivative_u(double u, double v) const</div><div class="ttdoc">u 向偏导数 ∂S/∂u</div></div>
<div class="ttc" id="aclassvde_1_1curves_1_1BSplineSurface_html_aeda5aa809291b7aebe7d99d51c5952ed"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#aeda5aa809291b7aebe7d99d51c5952ed">vde::curves::BSplineSurface::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_1BSplineSurface_html_af674886573f10e61ce32ff773fa33bcf"><div class="ttname"><a href="classvde_1_1curves_1_1BSplineSurface.html#af674886573f10e61ce32ff773fa33bcf">vde::curves::BSplineSurface::BSplineSurface</a></div><div class="ttdeci">BSplineSurface(std::vector&lt; std::vector&lt; Point3D &gt;&gt; control_grid, std::vector&lt; double &gt; knots_u, std::vector&lt; double &gt; knots_v, int degree_u, int degree_v)</div><div class="ttdoc">构造 B 样条曲面</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>
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