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<h1 class="page-title">Class: BoundaryFirstFlattening</h1>
<section>
<header>
<h2>
<span class="ancestors"><a href="module-Projects.html">Projects</a>.</span>
BoundaryFirstFlattening
</h2>
</header>
<article>
<div class="container-overview">
<hr>
<dt>
<h4 class="name" id="BoundaryFirstFlattening"><span class="type-signature"></span>new BoundaryFirstFlattening(geometry)</h4>
</dt>
<dd>
<div class="description">
<p>This class implements the <a href="https://arxiv.org/pdf/1704.06873.pdf">boundary first flattening</a> algorithm to flatten<br>
surface meshes with a single boundary conformally.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>geometry</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Geometry.html">module:Core.Geometry</a></span>
</td>
<td class="description last"><p>The input geometry of the mesh this class acts on.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
<h5 class="subsection-title">Properties:</h5>
<dl>
<table class="props table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>geometry</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Geometry.html">module:Core.Geometry</a></span>
</td>
<td class="description last"><p>The input geometry of the mesh this class acts on.</p></td>
</tr>
<tr>
<td class="name"><code>boundary</code></td>
<td class="type">
<span class="param-type">Array.<<a href="module-Core.Face.html">module:Core.Face</a>></span>
</td>
<td class="description last"><p>The boundary of the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>nV</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The number of vertices in the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>nI</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The number of interior vertices in the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>nB</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The number of boundary vertices in the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>vertexIndex</code></td>
<td class="type">
<span class="param-type">Object</span>
</td>
<td class="description last"><p>A dictionary mapping each vertex of the input mesh to a unique index.</p></td>
</tr>
<tr>
<td class="name"><code>bVertexIndex</code></td>
<td class="type">
<span class="param-type">Object</span>
</td>
<td class="description last"><p>A dictionary mapping each boundary vertex of the input mesh to a unique index.</p></td>
</tr>
<tr>
<td class="name"><code>K</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</td>
<td class="description last"><p>The integrated gaussian curvatures of the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>k</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</td>
<td class="description last"><p>The integrated geodesic curvatures of the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>l</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</td>
<td class="description last"><p>The boundary edge lengths of the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>A</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The laplace matrix of the input mesh partitioned by interior and boundary vertices.</p></td>
</tr>
<tr>
<td class="name"><code>Aii</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The upper left block of the partitioned laplace matrix.</p></td>
</tr>
<tr>
<td class="name"><code>Aib</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The upper right block of the partitioned laplace matrix.</p></td>
</tr>
<tr>
<td class="name"><code>Abb</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The lower right block of the partitioned laplace matrix.</p></td>
</tr>
</tbody>
</table>
</dl>
</dl>
</dd>
</div>
<h3 class="subsection-title">Methods</h3>
<dl>
<hr>
<dt>
<h4 class="name" id="flatten"><span class="type-signature"></span>flatten(target, givenScaleFactors, rescale)</h4>
</dt>
<dd>
<div class="description">
<p>Given either the target boundary scale factors or the curvatures, flattens the<br>
input surface mesh with a single boundary conformally.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>target</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</td>
<td class="description last"><p>Either the target boundary scale factors<br>
or the curvatures.</p></td>
</tr>
<tr>
<td class="name"><code>givenScaleFactors</code></td>
<td class="type">
<span class="param-type">boolean</span>
</td>
<td class="description last"><p>A flag indicating whether the input data contains<br>
the target boundary scale factors.</p></td>
</tr>
<tr>
<td class="name"><code>rescale</code></td>
<td class="type">
<span class="param-type">boolean</span>
</td>
<td class="description last"><p>A flag indicating whether the flattening should be<br>
scaled to unit radius. Default value is true</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>A dictionary mapping each vertex to a vector of planar coordinates.</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Object</span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="flattenToDisk"><span class="type-signature"></span>flattenToDisk()</h4>
</dt>
<dd>
<div class="description">
<p>Flattens the input surface mesh with a single boundary conformally to a disk.</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>A dictionary mapping each vertex to a vector of planar coordinates.</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Object</span>
</dd>
</dl>
</dd>
</dl>
</article>
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