茂之钳
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<div class="title">marching_cubes.h</div> </div>
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<a href="marching__cubes_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> <span class="preprocessor">#include <array></span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include <functional></span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#include <algorithm></span></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="l00009"></a><span class="lineno"> 9</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1mesh.html">vde::mesh</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#a78483c599a40e4f333418667a77e3862">core::Point2D</a>;</div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</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="l00012"></a><span class="lineno"> 12</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="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="structvde_1_1mesh_1_1MCMesh.html"> 18</a></span> <span class="keyword">struct </span><a class="code" href="structvde_1_1mesh_1_1MCMesh.html">MCMesh</a> {</div>
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<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="structvde_1_1mesh_1_1MCMesh.html#a459f8467959ae0e58ae79bb4d29cd447"> 19</a></span>  std::vector<Point3D> <a class="code" href="structvde_1_1mesh_1_1MCMesh.html#a459f8467959ae0e58ae79bb4d29cd447">vertices</a>; </div>
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<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="structvde_1_1mesh_1_1MCMesh.html#afe198a24c507255e6456aa3c91da8fd0"> 20</a></span>  std::vector<std::array<int, 3>> <a class="code" href="structvde_1_1mesh_1_1MCMesh.html#afe198a24c507255e6456aa3c91da8fd0">triangles</a>; </div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> };</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="group__mesh.html#ga1dfc79e7134920b11f72724170e1ac2a"> 49</a></span> <a class="code" href="structvde_1_1mesh_1_1MCMesh.html">MCMesh</a> <a class="code" href="group__mesh.html#ga1dfc79e7134920b11f72724170e1ac2a">marching_cubes</a>(<span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keywordtype">double</span>,<span class="keywordtype">double</span>,<span class="keywordtype">double</span>)>& f,</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">double</span> iso_level,</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& bmin, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& bmax,</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordtype">int</span> resolution);</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
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<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="group__mesh.html#gaf8519dd35d3adfc02e5cb5556c9bf93a"> 69</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__mesh.html#gaf8519dd35d3adfc02e5cb5556c9bf93a">sdf_sphere</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z, <span class="keywordtype">double</span> cx, <span class="keywordtype">double</span> cy, <span class="keywordtype">double</span> cz, <span class="keywordtype">double</span> r) {</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> std::sqrt((x-cx)*(x-cx) + (y-cy)*(y-cy) + (z-cz)*(z-cz)) - r;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="group__mesh.html#gac7ff5123d0343063449838aeff11e703"> 82</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__mesh.html#gac7ff5123d0343063449838aeff11e703">sdf_box</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z, <span class="keywordtype">double</span> hx, <span class="keywordtype">double</span> hy, <span class="keywordtype">double</span> hz) {</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">double</span> dx = std::abs(x) - hx, dy = std::abs(y) - hy, dz = std::abs(z) - hz;</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">return</span> std::sqrt(std::max(dx,0.0)*std::max(dx,0.0)</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  + std::max(dy,0.0)*std::max(dy,0.0)</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  + std::max(dz,0.0)*std::max(dz,0.0))</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  + std::min(std::max({dx,dy,dz}), 0.0);</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">namespace </span>{ <span class="keyword">inline</span> <span class="keywordtype">double</span> lerp_impl(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> t) { <span class="keywordflow">return</span> a + t * (b - a); } }</div>
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<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="namespacevde_1_1mesh.html#a9a55a4640fc233cfbb853f17649ad7ce"> 102</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1mesh.html#a9a55a4640fc233cfbb853f17649ad7ce">sdf_smooth_union</a>(<span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> k) {</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">double</span> h = std::clamp(0.5 + 0.5*(d2-d1)/k, 0.0, 1.0);</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> lerp_impl(d2, d1, h) - k*h*(1.0-h);</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> }</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="l00118"></a><span class="lineno"><a class="line" href="group__mesh.html#ga962fd7d9b943b8502fde8e59062df761"> 118</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__mesh.html#ga962fd7d9b943b8502fde8e59062df761">sdf_smooth_subtraction</a>(<span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> k) {</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">double</span> h = std::clamp(0.5 - 0.5*(d2+d1)/k, 0.0, 1.0);</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> lerp_impl(d2, -d1, h) + k*h*(1.0-h);</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>  </div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> } <span class="comment">// namespace vde::mesh</span></div>
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<div class="ttc" id="agroup__mesh_html_ga1dfc79e7134920b11f72724170e1ac2a"><div class="ttname"><a href="group__mesh.html#ga1dfc79e7134920b11f72724170e1ac2a">vde::mesh::marching_cubes</a></div><div class="ttdeci">MCMesh marching_cubes(const std::function< double(double, double, double)> &f, double iso_level, const Point3D &bmin, const Point3D &bmax, int resolution)</div><div class="ttdoc">Marching Cubes 等值面提取</div></div>
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<div class="ttc" id="agroup__mesh_html_ga962fd7d9b943b8502fde8e59062df761"><div class="ttname"><a href="group__mesh.html#ga962fd7d9b943b8502fde8e59062df761">vde::mesh::sdf_smooth_subtraction</a></div><div class="ttdeci">double sdf_smooth_subtraction(double d1, double d2, double k)</div><div class="ttdoc">SDF 平滑差集（Smooth Subtraction）</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00118">marching_cubes.h:118</a></div></div>
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<div class="ttc" id="agroup__mesh_html_gac7ff5123d0343063449838aeff11e703"><div class="ttname"><a href="group__mesh.html#gac7ff5123d0343063449838aeff11e703">vde::mesh::sdf_box</a></div><div class="ttdeci">double sdf_box(double x, double y, double z, double hx, double hy, double hz)</div><div class="ttdoc">SDF 立方体函数（轴对齐，中心在原点）</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00082">marching_cubes.h:82</a></div></div>
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<div class="ttc" id="agroup__mesh_html_gaf8519dd35d3adfc02e5cb5556c9bf93a"><div class="ttname"><a href="group__mesh.html#gaf8519dd35d3adfc02e5cb5556c9bf93a">vde::mesh::sdf_sphere</a></div><div class="ttdeci">double sdf_sphere(double x, double y, double z, double cx, double cy, double cz, double r)</div><div class="ttdoc">SDF 球体函数</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00069">marching_cubes.h:69</a></div></div>
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<div class="ttc" id="anamespacevde_1_1core_html_a78483c599a40e4f333418667a77e3862"><div class="ttname"><a href="namespacevde_1_1core.html#a78483c599a40e4f333418667a77e3862">vde::core::Point2D</a></div><div class="ttdeci">foundation::Point2D Point2D</div><div class="ttdoc">双精度二维点（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00029">point.h:29</a></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_1mesh_html"><div class="ttname"><a href="namespacevde_1_1mesh.html">vde::mesh</a></div><div class="ttdef"><b>Definition:</b> <a href="alpha__shapes_8h_source.html#l00006">alpha_shapes.h:6</a></div></div>
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<div class="ttc" id="anamespacevde_1_1mesh_html_a9a55a4640fc233cfbb853f17649ad7ce"><div class="ttname"><a href="namespacevde_1_1mesh.html#a9a55a4640fc233cfbb853f17649ad7ce">vde::mesh::sdf_smooth_union</a></div><div class="ttdeci">double sdf_smooth_union(double d1, double d2, double k)</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00102">marching_cubes.h:102</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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<div class="ttc" id="astructvde_1_1mesh_1_1MCMesh_html"><div class="ttname"><a href="structvde_1_1mesh_1_1MCMesh.html">vde::mesh::MCMesh</a></div><div class="ttdoc">Marching Cubes 输出网格</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00018">marching_cubes.h:18</a></div></div>
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<div class="ttc" id="astructvde_1_1mesh_1_1MCMesh_html_a459f8467959ae0e58ae79bb4d29cd447"><div class="ttname"><a href="structvde_1_1mesh_1_1MCMesh.html#a459f8467959ae0e58ae79bb4d29cd447">vde::mesh::MCMesh::vertices</a></div><div class="ttdeci">std::vector< Point3D > vertices</div><div class="ttdoc">顶点坐标</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00019">marching_cubes.h:19</a></div></div>
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<div class="ttc" id="astructvde_1_1mesh_1_1MCMesh_html_afe198a24c507255e6456aa3c91da8fd0"><div class="ttname"><a href="structvde_1_1mesh_1_1MCMesh.html#afe198a24c507255e6456aa3c91da8fd0">vde::mesh::MCMesh::triangles</a></div><div class="ttdeci">std::vector< std::array< int, 3 > > triangles</div><div class="ttdoc">三角形索引</div><div class="ttdef"><b>Definition:</b> <a href="marching__cubes_8h_source.html#l00020">marching_cubes.h:20</a></div></div>
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