茂之钳
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242 lines
24 KiB
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<div id="projectname">ViewDesignEngine
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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">sdf_optimize.h 文件参考<div class="ingroups"><a class="el" href="group__sdf.html">SDF 模块 (vde::sdf)</a></div></div> </div>
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<p>基于梯度的 SDF 形状优化
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<a href="#details">更多...</a></p>
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<div class="textblock"><code>#include "<a class="el" href="sdf__tree_8h_source.html">vde/sdf/sdf_tree.h</a>"</code><br />
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<code>#include "<a class="el" href="point_8h_source.html">vde/core/point.h</a>"</code><br />
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<code>#include <vector></code><br />
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<code>#include <functional></code><br />
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sdf_optimize.h 的引用(Include)关系图:</div>
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<p><a href="sdf__optimize_8h_source.html">浏览源代码.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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类</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structvde_1_1sdf_1_1OptimizeResult.html">vde::sdf::OptimizeResult</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">优化结果 <a href="structvde_1_1sdf_1_1OptimizeResult.html#details">更多...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structvde_1_1sdf_1_1SymmetryResult.html">vde::sdf::SymmetryResult</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">对称检测结果 <a href="structvde_1_1sdf_1_1SymmetryResult.html#details">更多...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structvde_1_1sdf_1_1ParamRef.html">vde::sdf::ParamRef</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">SDF 树中可变参数的引用 <a href="structvde_1_1sdf_1_1ParamRef.html#details">更多...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1sdf_1_1GradientDescent.html">vde::sdf::GradientDescent</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">固定学习率的简单梯度下降优化器 <a href="classvde_1_1sdf_1_1GradientDescent.html#details">更多...</a><br /></td></tr>
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<tr class="separator:"><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="namespaces"></a>
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命名空间</h2></td></tr>
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<tr class="memitem:namespacevde"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde.html">vde</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:namespacevde_1_1sdf"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html">vde::sdf</a></td></tr>
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<tr class="separator:"><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="typedef-members"></a>
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类型定义</h2></td></tr>
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<tr class="memitem:a3ff132fb69c033909652b3078f81ad1a"><td class="memItemLeft" align="right" valign="top">using </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a3ff132fb69c033909652b3078f81ad1a">vde::sdf::LossFn</a> = std::function< double(const std::function< double(const Point3D &)> &)></td></tr>
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<tr class="memdesc:a3ff132fb69c033909652b3078f81ad1a"><td class="mdescLeft"> </td><td class="mdescRight">损失函数类型 <a href="namespacevde_1_1sdf.html#a3ff132fb69c033909652b3078f81ad1a">更多...</a><br /></td></tr>
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<tr class="separator:a3ff132fb69c033909652b3078f81ad1a"><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="func-members"></a>
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函数</h2></td></tr>
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<tr class="memitem:a437e4e366b2cc67090426ce6b6158be6"><td class="memItemLeft" align="right" valign="top">OptimizeResult </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a437e4e366b2cc67090426ce6b6158be6">vde::sdf::fit_to_point_cloud</a> (const SdfNodePtr &initial, const std::vector< Point3D > &target_points, double learning_rate=0.01, int max_iterations=100)</td></tr>
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<tr class="memdesc:a437e4e366b2cc67090426ce6b6158be6"><td class="mdescLeft"> </td><td class="mdescRight">将参数化形状拟合到目标点云 <a href="namespacevde_1_1sdf.html#a437e4e366b2cc67090426ce6b6158be6">更多...</a><br /></td></tr>
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<tr class="separator:a437e4e366b2cc67090426ce6b6158be6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a268271fb51fd0a95c5b0611394397a9d"><td class="memItemLeft" align="right" valign="top">OptimizeResult </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a268271fb51fd0a95c5b0611394397a9d">vde::sdf::fit_surface_to_points</a> (const SdfNodePtr &initial, const std::vector< Point3D > &surface_points, double learning_rate=0.01, int max_iterations=100)</td></tr>
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<tr class="memdesc:a268271fb51fd0a95c5b0611394397a9d"><td class="mdescLeft"> </td><td class="mdescRight">将形状表面移动到目标采样点 <a href="namespacevde_1_1sdf.html#a268271fb51fd0a95c5b0611394397a9d">更多...</a><br /></td></tr>
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<tr class="separator:a268271fb51fd0a95c5b0611394397a9d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5cf5230813be28ae6862f124adf3e438"><td class="memItemLeft" align="right" valign="top">OptimizeResult </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a5cf5230813be28ae6862f124adf3e438">vde::sdf::fit_to_sdf</a> (const SdfNodePtr &source, const std::function< double(const Point3D &)> &target_sdf, const Point3D &bmin, const Point3D &bmax, int grid_resolution=16, double learning_rate=0.01, int max_iterations=100)</td></tr>
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<tr class="memdesc:a5cf5230813be28ae6862f124adf3e438"><td class="mdescLeft"> </td><td class="mdescRight">拟合一个 SDF 形状以匹配另一个目标 SDF <a href="namespacevde_1_1sdf.html#a5cf5230813be28ae6862f124adf3e438">更多...</a><br /></td></tr>
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<tr class="separator:a5cf5230813be28ae6862f124adf3e438"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a694dea06d4bbecf6063203f554d9fe05"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a694dea06d4bbecf6063203f554d9fe05">vde::sdf::resolve_collision</a> (SdfNodePtr &shape_a, SdfNodePtr &shape_b, double step_size=0.1, int max_iterations=50)</td></tr>
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<tr class="memdesc:a694dea06d4bbecf6063203f554d9fe05"><td class="mdescLeft"> </td><td class="mdescRight">通过平移解决两个形状之间的穿透 <a href="namespacevde_1_1sdf.html#a694dea06d4bbecf6063203f554d9fe05">更多...</a><br /></td></tr>
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<tr class="separator:a694dea06d4bbecf6063203f554d9fe05"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a859ced3d37ab1c3b26dba3400fbb2dfc"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a859ced3d37ab1c3b26dba3400fbb2dfc">vde::sdf::penetration_depth</a> (const SdfNodePtr &shape_a, const SdfNodePtr &shape_b, const Point3D &bmin, const Point3D &bmax, int samples=1000)</td></tr>
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<tr class="memdesc:a859ced3d37ab1c3b26dba3400fbb2dfc"><td class="mdescLeft"> </td><td class="mdescRight">估算两个形状之间的最小穿透距离 <a href="namespacevde_1_1sdf.html#a859ced3d37ab1c3b26dba3400fbb2dfc">更多...</a><br /></td></tr>
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<tr class="separator:a859ced3d37ab1c3b26dba3400fbb2dfc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2008f513c59b2b1d55cf7dd6ca7d5bcc"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a2008f513c59b2b1d55cf7dd6ca7d5bcc">vde::sdf::accessibility</a> (const SdfNodePtr &shape, const Point3D &p, const Vector3D &direction, int hemisphere_samples=64)</td></tr>
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<tr class="memdesc:a2008f513c59b2b1d55cf7dd6ca7d5bcc"><td class="mdescLeft"> </td><td class="mdescRight">计算形状表面上点的可及性分数 <a href="namespacevde_1_1sdf.html#a2008f513c59b2b1d55cf7dd6ca7d5bcc">更多...</a><br /></td></tr>
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<tr class="separator:a2008f513c59b2b1d55cf7dd6ca7d5bcc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a145b3e2651a90dd1ddc4c5f8d2f3befd"><td class="memItemLeft" align="right" valign="top">Point3D </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a145b3e2651a90dd1ddc4c5f8d2f3befd">vde::sdf::find_accessible_point</a> (const SdfNodePtr &shape, const Vector3D &approach_dir, const Point3D &bmin, const Point3D &bmax, int grid_res=32)</td></tr>
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<tr class="memdesc:a145b3e2651a90dd1ddc4c5f8d2f3befd"><td class="mdescLeft"> </td><td class="mdescRight">找到给定接近方向下具有最大可及性的表面点 <a href="namespacevde_1_1sdf.html#a145b3e2651a90dd1ddc4c5f8d2f3befd">更多...</a><br /></td></tr>
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<tr class="separator:a145b3e2651a90dd1ddc4c5f8d2f3befd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6e1454146ae724f12fac47f7026048f7"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a6e1454146ae724f12fac47f7026048f7">vde::sdf::symmetry_score</a> (const SdfNodePtr &shape, const Point3D &bmin, const Point3D &bmax, const Vector3D &plane_normal, double plane_offset=0.0, int samples=1000)</td></tr>
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<tr class="memdesc:a6e1454146ae724f12fac47f7026048f7"><td class="mdescLeft"> </td><td class="mdescRight">检测形状在给定方向上的反射对称性 <a href="namespacevde_1_1sdf.html#a6e1454146ae724f12fac47f7026048f7">更多...</a><br /></td></tr>
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<tr class="separator:a6e1454146ae724f12fac47f7026048f7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a03924b38a765ff02af4d2f7f97fa414b"><td class="memItemLeft" align="right" valign="top">SymmetryResult </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a03924b38a765ff02af4d2f7f97fa414b">vde::sdf::find_symmetry_plane</a> (const SdfNodePtr &shape, const Point3D &bmin, const Point3D &bmax, int samples=1000)</td></tr>
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<tr class="memdesc:a03924b38a765ff02af4d2f7f97fa414b"><td class="mdescLeft"> </td><td class="mdescRight">自动找到形状的最佳反射对称平面 <a href="namespacevde_1_1sdf.html#a03924b38a765ff02af4d2f7f97fa414b">更多...</a><br /></td></tr>
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<tr class="separator:a03924b38a765ff02af4d2f7f97fa414b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa2c04cbe9e7cdd1252128f51af322a33"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#aa2c04cbe9e7cdd1252128f51af322a33">vde::sdf::estimate_volume</a> (const SdfNodePtr &shape, const Point3D &bmin, const Point3D &bmax, int samples=10000)</td></tr>
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<tr class="memdesc:aa2c04cbe9e7cdd1252128f51af322a33"><td class="mdescLeft"> </td><td class="mdescRight">通过蒙地卡罗法估算隐式形状的体积 <a href="namespacevde_1_1sdf.html#aa2c04cbe9e7cdd1252128f51af322a33">更多...</a><br /></td></tr>
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<tr class="separator:aa2c04cbe9e7cdd1252128f51af322a33"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2f05df8be69025eaa31529072fd47a6d"><td class="memItemLeft" align="right" valign="top">Point3D </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a2f05df8be69025eaa31529072fd47a6d">vde::sdf::center_of_mass</a> (const SdfNodePtr &shape, const Point3D &bmin, const Point3D &bmax, int samples=10000)</td></tr>
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<tr class="memdesc:a2f05df8be69025eaa31529072fd47a6d"><td class="mdescLeft"> </td><td class="mdescRight">通过蒙地卡罗法估算形状的质心 <a href="namespacevde_1_1sdf.html#a2f05df8be69025eaa31529072fd47a6d">更多...</a><br /></td></tr>
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<tr class="separator:a2f05df8be69025eaa31529072fd47a6d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad6473a81281335b9b3aff1f1f145c448"><td class="memItemLeft" align="right" valign="top">std::vector< ParamRef > </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#ad6473a81281335b9b3aff1f1f145c448">vde::sdf::collect_params</a> (SdfNodePtr &root)</td></tr>
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<tr class="memdesc:ad6473a81281335b9b3aff1f1f145c448"><td class="mdescLeft"> </td><td class="mdescRight">从叶节点收集所有可变数值参数 <a href="namespacevde_1_1sdf.html#ad6473a81281335b9b3aff1f1f145c448">更多...</a><br /></td></tr>
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<tr class="separator:ad6473a81281335b9b3aff1f1f145c448"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afdc3f3bcc8bf4b4884210afadb494c72"><td class="memItemLeft" align="right" valign="top">std::vector< double > </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#afdc3f3bcc8bf4b4884210afadb494c72">vde::sdf::numerical_gradient</a> (const std::vector< ParamRef > &params, const std::function< double()> &loss_fn, double eps=1e-6)</td></tr>
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<tr class="memdesc:afdc3f3bcc8bf4b4884210afadb494c72"><td class="mdescLeft"> </td><td class="mdescRight">计算标量损失对收集到的参数的数值梯度 <a href="namespacevde_1_1sdf.html#afdc3f3bcc8bf4b4884210afadb494c72">更多...</a><br /></td></tr>
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<tr class="separator:afdc3f3bcc8bf4b4884210afadb494c72"><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>基于梯度的 SDF 形状优化 </p>
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<p>提供 SDF 形状的拟合、碰撞解析、可及性分析和对称性检测等功能。</p>
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<h2><a class="anchor" id="autotoc_md26"></a>
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主要功能</h2>
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<table class="markdownTable">
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<tr class="markdownTableHead">
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<th class="markdownTableHeadNone">功能 </th><th class="markdownTableHeadNone">说明 </th></tr>
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<tr class="markdownTableRowOdd">
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<td class="markdownTableBodyNone">Shape Fitting </td><td class="markdownTableBodyNone">将参数化形状拟合到点云或目标 SDF </td></tr>
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<tr class="markdownTableRowEven">
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<td class="markdownTableBodyNone">Collision Avoidance </td><td class="markdownTableBodyNone">平移形状以解决穿透 </td></tr>
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<tr class="markdownTableRowOdd">
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<td class="markdownTableBodyNone">Accessibility </td><td class="markdownTableBodyNone">采样半球以评估表面上点的可及性 </td></tr>
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<tr class="markdownTableRowEven">
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<td class="markdownTableBodyNone">Symmetry Detection </td><td class="markdownTableBodyNone">检测反射对称性并找到最佳对称平面 </td></tr>
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<tr class="markdownTableRowOdd">
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<td class="markdownTableBodyNone">Volume & Mass </td><td class="markdownTableBodyNone">通过蒙地卡罗法估计体积和质心 </td></tr>
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<tr class="markdownTableRowEven">
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<td class="markdownTableBodyNone">Parameter Optimization </td><td class="markdownTableBodyNone">收集所有可优化的参数并计算数值梯度 </td></tr>
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</table>
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<h2><a class="anchor" id="autotoc_md27"></a>
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使用模式</h2>
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<div class="fragment"><div class="line"><span class="keyword">auto</span> shape = <a class="code" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">SdfNode::sphere</a>(0.5);</div>
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<div class="line"><span class="keyword">auto</span> result = <a class="code" href="namespacevde_1_1sdf.html#a437e4e366b2cc67090426ce6b6158be6">fit_to_point_cloud</a>(shape, points, 0.01, 200);</div>
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<div class="line"><span class="keywordflow">if</span> (result.converged) {</div>
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<div class="line"> <span class="comment">// result.optimized_shape 包含优化后的参数</span></div>
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<div class="line">}</div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a437e4e366b2cc67090426ce6b6158be6"><div class="ttname"><a href="namespacevde_1_1sdf.html#a437e4e366b2cc67090426ce6b6158be6">vde::sdf::fit_to_point_cloud</a></div><div class="ttdeci">OptimizeResult fit_to_point_cloud(const SdfNodePtr &initial, const std::vector< Point3D > &target_points, double learning_rate=0.01, int max_iterations=100)</div><div class="ttdoc">将参数化形状拟合到目标点云</div></div>
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<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>
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</div><!-- fragment -->
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<p class="definition">在文件 <a class="el" href="sdf__optimize_8h_source.html">sdf_optimize.h</a> 中定义.</p>
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