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Alec Jacobson
2015-07-19 18:23:51 -04:00
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@@ -1274,9 +1274,19 @@ slowly changing functions over the mesh (e.g. <a class="citation" href="#fn:8" t
analysis and model subspaces have been used frequently in real-time deformation
(e.g. <a class="citation" href="#fn:9" title="Jump to citation">[9]<span class="citekey" style="display:none">barbic_2005</span></a>).</p>
<p>In <a href="306_EigenDecomposition/main.cpp">Example 306</a>), the first few eigen vectors
<p>In <a href="306_EigenDecomposition/main.cpp">Example 306</a>), the first 5 eigen vectors
of the discrete Laplace-Beltrami operator are computed and displayed in
pseudo-color atop the beetle.</p>
pseudo-color atop the beetle. Eigen vectors are computed using <code>igl::eigs</code>
(mirroring MATLAB&#8217;s <code>eigs</code>). The 5 eigen vectors are placed into the columns
of <code>U</code> and the eigen values are placed into the entries of <code>S</code>:</p>
<pre><code class="cpp">SparseMatrix&lt;double&gt; L,M;
igl::cotmatrix(V,F,L);
igl::massmatrix(V,F,igl::MASSMATRIX_TYPE_DEFAULT,M);
Eigen::MatrixXd U;
Eigen::VectorXd S;
igl::eigs(L,M,5,igl::EIGS_TYPE_SM,U,S);
</code></pre>
<figure>
<img src="images/beetle-eigen-decomposition.gif" alt="(Example 306) Low frequency eigen vectors