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janetournois committed Nov 26, 2024
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---
layout: post
title: "Mesh_3 improvements"
description: "Mesh_3 improvements in CGAL-6.0"
title: "Tetrahedral Mesh Generation improvements"
description: "Tetrahedral Mesh Generation improvements in CGAL-6.0.1"
category:
tags: [""]
---
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<h3><a href="https://geometryfactory.com/who-we-are/">Jane Tournois</a></h3>
<h4><a href="http://www.geometryfactory.com" target="_blank">GeometryFactory</a></h4>

<br>

<p>Introduced in CGAL 3.5, the package
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgMesh3" text="3D Mesh Generation">3D Mesh Generation</a>
is designed to generate a isotropic simplicial meshes discretizing 3D domains.
Expand Down Expand Up @@ -54,7 +54,7 @@ are added to the feature graph of the domain for feature protection.</p>
</p>

<div style="text-align:center;">
<a href="../../../../images/mesh3_triple_lines_protection.png"><img src="../../../../images/mesh3_triple_lines_protection.png" style="max-width:95%"/></a><br>
<a href="../../../../images/mesh3_triple_lines_protection.png"><img src="../../../../images/mesh3_triple_lines_protection.png" style="max-width:80%"/></a><br>
<br><small>Mesh generation from labeled image without (left)
and with triple lines detection and protection (right).
The polylines lying at the intersection of three or more subdomains are
Expand All @@ -74,7 +74,7 @@ It consists in generating a second input image, made of integer coefficients cal
smoother domain boundaries. The 3D image of weights can be generated by <i>CGAL::Mesh_3::generate_label_weights()</i>.</p>

<div style="text-align:center;">
<a href="../../../../images/mesh3_weighted_images.png"><img src="../../../../images/mesh3_weighted_images.png" style="max-width:95%"/></a><br>
<a href="../../../../images/mesh3_weighted_images.png"><img src="../../../../images/mesh3_weighted_images.png" style="max-width:100%"/></a><br>
<br><small>Mesh generation from labeled image without weights (left, 88,000 vertices)
and with weights (right, 67,000 vertices).</small>
</div>
Expand All @@ -101,11 +101,12 @@ define an upper bound on the distance between the input feature graph and the ou
mesh_polyhedral_domain_with_edge_distance.cpp</a>.</p>

<div style="text-align:center;">
<a href="../../../../images/mesh3_edge_distance_stool.png"><img src="../../../../images/mesh3_edge_distance_stool.png" style="max-width:75%"/></a><br>
<a href="../../../../images/mesh3_edge_distance_stool.png"><img src="../../../../images/mesh3_edge_distance_stool.png" style="max-width:65%"/></a><br>
<br><small>Mesh generation from polyhedral surface with varying <i>edge_distance</i> meshing criterion.
The quality improvement is important on the lower end of stool feet.</small>
</div>


<h3>Status</h3>

<p>All these new improvements have been integrated in CGAL-6.0.1, which has just been officially released.</p>
Expand All @@ -114,7 +115,7 @@ mesh_polyhedral_domain_with_edge_distance.cpp</a>.</p>
<a href="https://www.cgal.org/2024/10/22/cgal601/">CGAL-6.0.1 announcement</a>
<br>
<i class="bi bi-book"></i>
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgMesh3">Documentation of the package Mesh_3</a>
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgMesh3">Documentation of the Tetrahedral Mesh Generation package</a>
<br>
<i class="bi bi-arrow-down-circle"></i>
<a href="https://github.com/CGAL/cgal/tree/master">CGAL master branch on GitHub</a>

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