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<!DOCTYPE html>
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<title>geometry-processing-js Class: ScalarPoissonProblem</title>
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<h1 class="page-title">Class: ScalarPoissonProblem</h1>
<section>
<header>
<h2>
<span class="ancestors"><a href="module-Projects.html">Projects</a>.</span>
ScalarPoissonProblem
</h2>
</header>
<article>
<div class="container-overview">
<hr>
<dt>
<h4 class="name" id="ScalarPoissonProblem"><span class="type-signature"></span>new ScalarPoissonProblem(geometry)</h4>
</dt>
<dd>
<div class="description">
<p>This class solves a <a href="https://cs.cmu.edu/~kmcrane/Projects/DDG/paper.pdf">scalar poisson problem</a> on a surface mesh.</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>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>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.</p></td>
</tr>
<tr>
<td class="name"><code>M</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 mass matrix of the input mesh.</p></td>
</tr>
<tr>
<td class="name"><code>totalArea</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The total surface area of the input mesh.</p></td>
</tr>
</tbody>
</table>
</dl>
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</dd>
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<h3 class="subsection-title">Methods</h3>
<dl>
<hr>
<dt>
<h4 class="name" id="solve"><span class="type-signature"></span>solve(rho)</h4>
</dt>
<dd>
<div class="description">
<p>Computes the solution of the poisson problem Ax = -M(rho - rhoBar), where A<br>
is the positive definite laplace matrix and M is the mass matrix.</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>rho</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>A scalar density of vertices of the input mesh.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</dd>
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</dd>
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