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<a href="classRegularTriangulationCellBase__3-members.html">List of all members</a> </div>
<div class="headertitle"><div class="title">RegularTriangulationCellBase_3 Concept Reference<div class="ingroups"><a class="el" href="group__PkgTriangulation3Ref.html">3D Triangulations Reference</a> » <a class="el" href="group__PkgTriangulation3Concepts.html">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 regular triangulation of a set of weighted points does not necessarily have one vertex for each of the input points. Some of the input weighted points have no cell in the dual power diagrams and therefore do not correspond to a vertex of the regular triangulation. Those weighted points are said to be <em>hidden</em> points. A point which is hidden at a given time may appear later as a vertex of the regular triangulation upon removal on some other weighted point. Therefore, hidden points have to be stored somewhere. The regular triangulation stores those hidden points in its cells. </p>
<p>A hidden point can appear as vertex of the triangulation only when the three dimensional cell where its point component is located (the cell which hides it) is removed. Therefore we decided to store in each cell of a regular triangulation the list of hidden points that are located in the face. Thus points hidden by a face are easily reinserted in the triangulation when the face is removed.</p>
<p>The base cell of a regular triangulation has to be a model of the concept <code><a class="el" href="classRegularTriangulationCellBase__3.html" title="The regular triangulation of a set of weighted points does not necessarily have one vertex for each o...">RegularTriangulationCellBase_3</a></code>, which refines the concept <code><a class="el" href="classTriangulationCellBase__3.html" title="The cell base required by the basic triangulation does not need to store any geometric information,...">TriangulationCellBase_3</a></code> by adding in the cell a container to store hidden points and an operator to compute its weighted circumcenter.</p>
<dl>
<dt>Refines</dt>
<dd><code><a class="el" href="classTriangulationCellBase__3.html" title="The cell base required by the basic triangulation does not need to store any geometric information,...">TriangulationCellBase_3</a></code> </dd>
</dl>
<dl>
<dt>Has models</dt>
<dd></dd>
<dt></dt>
<dd><code><a class="el" href="classCGAL_1_1Regular__triangulation__cell__base__3.html" title="The class Regular_triangulation_cell_base_with_weighted_circumcenter_3 derives from Cb,...">CGAL::Regular_triangulation_cell_base_3</a></code> </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><code><a class="el" href="classRegularTriangulationTraits__3.html" title="The concept RegularTriangulationTraits_3 is the first template parameter of the class CGAL::Regular_t...">RegularTriangulationTraits_3</a></code> </dd></dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Types</h2></td></tr>
<tr class="memitem:a69eebf04c7667da87f4aba9af13862a7"><td class="memItemLeft" align="right" valign="top"><a id="a69eebf04c7667da87f4aba9af13862a7" name="a69eebf04c7667da87f4aba9af13862a7"></a>
typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><b>Point</b></td></tr>
<tr class="memdesc:a69eebf04c7667da87f4aba9af13862a7"><td class="mdescLeft"> </td><td class="mdescRight">Must be the same as the point type <code>Weighted_point_3</code> defined by the geometric traits class of the triangulation. <br></td></tr>
<tr class="separator:a69eebf04c7667da87f4aba9af13862a7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a07fbbee5c576e1498e2cfe0e855f7c82"><td class="memItemLeft" align="right" valign="top"><a id="a07fbbee5c576e1498e2cfe0e855f7c82" name="a07fbbee5c576e1498e2cfe0e855f7c82"></a>
typedef <a class="elRef" href="../Manual/classunspecified__type.html">unspecified_type</a> </td><td class="memItemRight" valign="bottom"><b>Point_iterator</b></td></tr>
<tr class="memdesc:a07fbbee5c576e1498e2cfe0e855f7c82"><td class="mdescLeft"> </td><td class="mdescRight"><a class="elRef" href="../Manual/classIterator.html">Iterator</a> of value type <code>Point</code> <br></td></tr>
<tr class="separator:a07fbbee5c576e1498e2cfe0e855f7c82"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Access Functions</h2></td></tr>
<tr class="memitem:a09b836a846c44b476f9425bb4c23072c"><td class="memItemLeft" align="right" valign="top"><a id="a09b836a846c44b476f9425bb4c23072c" name="a09b836a846c44b476f9425bb4c23072c"></a>
<a class="el" href="classRegularTriangulationCellBase__3.html#a07fbbee5c576e1498e2cfe0e855f7c82">Point_iterator</a> </td><td class="memItemRight" valign="bottom"><b>hidden_points_begin</b> ()</td></tr>
<tr class="memdesc:a09b836a846c44b476f9425bb4c23072c"><td class="mdescLeft"> </td><td class="mdescRight">Returns an iterator pointing to the first hidden point. <br></td></tr>
<tr class="separator:a09b836a846c44b476f9425bb4c23072c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac532d67ed29ef82a46225fc13142619d"><td class="memItemLeft" align="right" valign="top"><a id="ac532d67ed29ef82a46225fc13142619d" name="ac532d67ed29ef82a46225fc13142619d"></a>
<a class="el" href="classRegularTriangulationCellBase__3.html#a07fbbee5c576e1498e2cfe0e855f7c82">Point_iterator</a> </td><td class="memItemRight" valign="bottom"><b>hidden_points_end</b> ()</td></tr>
<tr class="memdesc:ac532d67ed29ef82a46225fc13142619d"><td class="mdescLeft"> </td><td class="mdescRight">Returns a past-the-end iterator. <br></td></tr>
<tr class="separator:ac532d67ed29ef82a46225fc13142619d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:adf0de2ecb1711dde9a36277879590350"><td class="memItemLeft" align="right" valign="top">const RegularTriangulationTraits_3::Point_3 & </td><td class="memItemRight" valign="bottom"><a class="el" href="classRegularTriangulationCellBase__3.html#adf0de2ecb1711dde9a36277879590350">weighted_circumcenter</a> (const <a class="el" href="classRegularTriangulationTraits__3.html">RegularTriangulationTraits_3</a> &gt=<a class="el" href="classRegularTriangulationTraits__3.html">RegularTriangulationTraits_3</a>()) const</td></tr>
<tr class="memdesc:adf0de2ecb1711dde9a36277879590350"><td class="mdescLeft"> </td><td class="mdescRight">Returns the weighted circumcenter of the cell, with no weight. <br></td></tr>
<tr class="separator:adf0de2ecb1711dde9a36277879590350"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Setting</h2></td></tr>
<tr class="memitem:a7558c075b519166e869d80ae03950d31"><td class="memItemLeft" align="right" valign="top"><a id="a7558c075b519166e869d80ae03950d31" name="a7558c075b519166e869d80ae03950d31"></a>
void </td><td class="memItemRight" valign="bottom"><b>hide_point</b> (const <a class="el" href="classRegularTriangulationCellBase__3.html#a69eebf04c7667da87f4aba9af13862a7">Point</a> &p)</td></tr>
<tr class="memdesc:a7558c075b519166e869d80ae03950d31"><td class="mdescLeft"> </td><td class="mdescRight">Adds <code>p</code> to the set of hidden points of the cell. <br></td></tr>
<tr class="separator:a7558c075b519166e869d80ae03950d31"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="adf0de2ecb1711dde9a36277879590350" name="adf0de2ecb1711dde9a36277879590350"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adf0de2ecb1711dde9a36277879590350">◆ </a></span>weighted_circumcenter()</h2>
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<td class="memname">const RegularTriangulationTraits_3::Point_3 & RegularTriangulationCellBase_3::weighted_circumcenter </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classRegularTriangulationTraits__3.html">RegularTriangulationTraits_3</a> & </td>
<td class="paramname"><em>gt</em> = <code><a class="el" href="classRegularTriangulationTraits__3.html">RegularTriangulationTraits_3</a>()</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the weighted circumcenter of the cell, with no weight. </p>
<p><code><a class="el" href="classRegularTriangulationTraits__3.html" title="The concept RegularTriangulationTraits_3 is the first template parameter of the class CGAL::Regular_t...">RegularTriangulationTraits_3</a></code> is the geometric traits class of the triangulation. This operator is required only when the dual functions are called. </p>
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