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dev/api/generated/lapy.diffgeo.html

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<dt class="sig sig-object py" id="lapy.diffgeo.tet_compute_gradient">
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<span class="sig-prename descclassname"><span class="pre">lapy.diffgeo.</span></span><span class="sig-name descname"><span class="pre">tet_compute_gradient</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">tet</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">vfunc</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#lapy.diffgeo.tet_compute_gradient" title="Link to this definition"></a></dt>
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<dd><p>Compute gradient of a vertex function f (for each tetra).</p>
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<p>For a tetrahedron (vi,vj,vk,vh) with volume V we have:</p>
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<p>For a tetrahedron <span class="math notranslate nohighlight">\((v_i, v_j, v_k, v_h)\)</span> with volume V we have:</p>
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<div class="math-wrapper docutils container">
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<div class="math notranslate nohighlight">
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\[\begin{split}grad(f) &amp;= [ (f_j - f_i) (vi-vk) \times (vh-vk) \\
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&amp; + (f_k - f_i) (vi-vh) \times (vj-vh) \\
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&amp; + (f_h - f_i) (vk-vi) \times (vj-vi) ] / (6 V).\end{split}\]</div>
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\[\begin{split}grad(f) = \left[ &amp; (f_j - f_i) (v_i-v_k) \times (v_h-v_k) \\
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&amp; + (f_k - f_i) (v_i-v_h) \times (v_j-v_h) \\
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&amp; + (f_h - f_i) (v_k-v_i) \times (v_j-v_i) \right] / (6 V).\end{split}\]</div>
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</div>
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<dl class="field-list">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>

dev/searchindex.js

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dev/tutorials/examples/Test_Plot.html

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dev/tutorials/examples/Test_Plot.ipynb

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dev/tutorials/examples/Test_TetMesh_Geodesics.html

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dev/tutorials/examples/Test_TetMesh_Geodesics.ipynb

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dev/tutorials/examples/Test_TriaMesh_Geodesics.html

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dev/tutorials/examples/Test_TriaMesh_Geodesics.ipynb

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