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<a href="classIntersectionGeometricTraits__3-members.html">List of all members</a> </div>
<div class="headertitle"><div class="title">IntersectionGeometricTraits_3 Concept Reference<div class="ingroups"><a class="el" href="group__PkgMesh3Ref.html">3D Mesh Generation Reference</a> » <a class="el" href="group__PkgMesh3SecondaryConcepts.html">Secondary Concepts</a></div></div></div>
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<p></p>
<a name="details" id="details"></a><h2 class="groupheader">Definition</h2>
<div class="textblock"><p>The concept <code><a class="el" href="classIntersectionGeometricTraits__3.html" title="The concept IntersectionGeometricTraits_3 provides types and functors required to implement a model o...">IntersectionGeometricTraits_3</a></code> provides types and functors required to implement a model of <code><a class="el" href="classMeshDomain__3.html" title="The concept MeshDomain_3 describes the knowledge required on the object to be discretized....">MeshDomain_3</a></code>, when the domain is described by a simplicial surface mesh forming its boundary. The concept <code><a class="el" href="classIntersectionGeometricTraits__3.html" title="The concept IntersectionGeometricTraits_3 provides types and functors required to implement a model o...">IntersectionGeometricTraits_3</a></code> mainly provides the detection and construction of intersections between segments and triangles. </p>
<dl>
<dt>Has models</dt>
<dd></dd>
<dt></dt>
<dd>All models of the CGAL concept <code><a class="elRef" href="../Kernel_23/classKernel.html">Kernel</a></code> </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><code><a class="el" href="classBisectionGeometricTraits__3.html" title="The concept BisectionGeometricTraits_3 describes a geometric traits class that provides the basic typ...">BisectionGeometricTraits_3</a></code> </dd>
<dd>
<code><a class="el" href="classCGAL_1_1Polyhedral__mesh__domain__3.html" title="The class Polyhedral_mesh_domain_3 implements a domain defined by a simplicial polyhedral surface.">CGAL::Polyhedral_mesh_domain_3</a><Polyhedron,IGT></code> </dd></dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Types</h2></td></tr>
<tr class="memitem:a0504f5625b1aa2e475fe31686b38afc8"><td class="memItemLeft" align="right" valign="top"><a id="a0504f5625b1aa2e475fe31686b38afc8" name="a0504f5625b1aa2e475fe31686b38afc8"></a>
typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><b>Point_3</b></td></tr>
<tr class="memdesc:a0504f5625b1aa2e475fe31686b38afc8"><td class="mdescLeft"> </td><td class="mdescRight">Point type. <br></td></tr>
<tr class="separator:a0504f5625b1aa2e475fe31686b38afc8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa197980bca0213b46280a6fed030485f"><td class="memItemLeft" align="right" valign="top"><a id="aa197980bca0213b46280a6fed030485f" name="aa197980bca0213b46280a6fed030485f"></a>
typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><b>Segment_3</b></td></tr>
<tr class="memdesc:aa197980bca0213b46280a6fed030485f"><td class="mdescLeft"> </td><td class="mdescRight">Segment type. <br></td></tr>
<tr class="separator:aa197980bca0213b46280a6fed030485f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a30502ace5406c493b1d2b1f147ef4850"><td class="memItemLeft" align="right" valign="top"><a id="a30502ace5406c493b1d2b1f147ef4850" name="a30502ace5406c493b1d2b1f147ef4850"></a>
typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><b>Triangle_3</b></td></tr>
<tr class="memdesc:a30502ace5406c493b1d2b1f147ef4850"><td class="mdescLeft"> </td><td class="mdescRight">Triangle type. <br></td></tr>
<tr class="separator:a30502ace5406c493b1d2b1f147ef4850"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5b50b9166990edb9a59a06bd7f168250"><td class="memItemLeft" align="right" valign="top">typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIntersectionGeometricTraits__3.html#a5b50b9166990edb9a59a06bd7f168250">Do_intersect_3</a></td></tr>
<tr class="memdesc:a5b50b9166990edb9a59a06bd7f168250"><td class="mdescLeft"> </td><td class="mdescRight">Function object that detects an intersection between a 3D segment and a 3D triangle. <br></td></tr>
<tr class="separator:a5b50b9166990edb9a59a06bd7f168250"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae0e03751a406a5c035f342d1db5bf27a"><td class="memItemLeft" align="right" valign="top">typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIntersectionGeometricTraits__3.html#ae0e03751a406a5c035f342d1db5bf27a">Intersect_3</a></td></tr>
<tr class="memdesc:ae0e03751a406a5c035f342d1db5bf27a"><td class="mdescLeft"> </td><td class="mdescRight">Function object that constructs the intersection between a 3D segment and a 3D triangle. <br></td></tr>
<tr class="separator:ae0e03751a406a5c035f342d1db5bf27a"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Operations</h2></td></tr>
<tr class="memitem:a4eaf6c2bb851a932b50ae237a1be1416"><td class="memItemLeft" align="right" valign="top"><a id="a4eaf6c2bb851a932b50ae237a1be1416" name="a4eaf6c2bb851a932b50ae237a1be1416"></a>
<a class="el" href="classIntersectionGeometricTraits__3.html#a5b50b9166990edb9a59a06bd7f168250">Do_intersect_3</a> </td><td class="memItemRight" valign="bottom"><b>do_intersect_3_object</b> ()</td></tr>
<tr class="memdesc:a4eaf6c2bb851a932b50ae237a1be1416"><td class="mdescLeft"> </td><td class="mdescRight">Returns the intersection detection functor. <br></td></tr>
<tr class="separator:a4eaf6c2bb851a932b50ae237a1be1416"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a572393696b038882cf2653179c5eef95"><td class="memItemLeft" align="right" valign="top"><a id="a572393696b038882cf2653179c5eef95" name="a572393696b038882cf2653179c5eef95"></a>
<a class="el" href="classIntersectionGeometricTraits__3.html#ae0e03751a406a5c035f342d1db5bf27a">Intersect_3</a> </td><td class="memItemRight" valign="bottom"><b>intersect_3_object</b> ()</td></tr>
<tr class="memdesc:a572393696b038882cf2653179c5eef95"><td class="mdescLeft"> </td><td class="mdescRight">Returns the intersection constructor. <br></td></tr>
<tr class="separator:a572393696b038882cf2653179c5eef95"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<h2 class="groupheader">Member Typedef Documentation</h2>
<a id="a5b50b9166990edb9a59a06bd7f168250" name="a5b50b9166990edb9a59a06bd7f168250"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5b50b9166990edb9a59a06bd7f168250">◆ </a></span>Do_intersect_3</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> <a class="el" href="classIntersectionGeometricTraits__3.html#a5b50b9166990edb9a59a06bd7f168250">IntersectionGeometricTraits_3::Do_intersect_3</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function object that detects an intersection between a 3D segment and a 3D triangle. </p>
<p>Partial model of <code><a class="elRef" href="../Kernel_23/classKernel_1_1DoIntersect__3.html">Kernel::DoIntersect_3</a></code>. Provides the operators:</p><ul>
<li><code>bool operator()(Segment_3 seg, Triangle_3 tr)</code></li>
<li><code>bool operator()(Triangle_3 tr, Segment_3 seg)</code></li>
</ul>
<p>which returns <code>true</code>, iff the triangle and the segment have a non empty intersection. </p>
</div>
</div>
<a id="ae0e03751a406a5c035f342d1db5bf27a" name="ae0e03751a406a5c035f342d1db5bf27a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae0e03751a406a5c035f342d1db5bf27a">◆ </a></span>Intersect_3</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> <a class="el" href="classIntersectionGeometricTraits__3.html#ae0e03751a406a5c035f342d1db5bf27a">IntersectionGeometricTraits_3::Intersect_3</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function object that constructs the intersection between a 3D segment and a 3D triangle. </p>
<p>Partial model of <code><a class="elRef" href="../Kernel_23/classKernel_1_1Intersect__3.html">Kernel::Intersect_3</a></code>. Provides the operators:</p>
<ul>
<li><code>std::optional< std::variant< Point_3, Segment_3 > > operator()(Segment_3 seg, Triangle_3 tr)</code></li>
<li><code>std::optional< std::variant< Point_3, Segment_3 > > operator()(Triangle_3 tr, Segment_3 seg)</code></li>
</ul>
<p>which computes the intersection between the triangle and the segment. </p>
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