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@afabri
afabri committed Apr 2, 2024
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---
layout: default
title: The Computational Geometry Algorithms Library
tagline:
---
{% include JB/setup %}


<div class="homepage-slider">
<div id="sequence">
<ul class="sequence-canvas">
<!-- Base container model by sablebadger, https://www.thingiverse.com/thing:2934997 -->
<li style="background-image: url({{ BASE_PATH }}/images/April24/egg-in-pentagon.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title"> Dieudonne Operator</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Dieudonne_operator(statue, container);</pre></h3>
</li>

<li style="background-image: url({{ BASE_PATH }}/images/April24/Finite_coxeter.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Bourbaki Graph</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::make_Bourbaki_graph();</pre></h3>
</li>

<li style="background-image: url({{ BASE_PATH }}/images/April24/tencommandments.jpeg); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Leray Triangulations</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::make_Leray_triangulation();</pre></h3>
</li>

<li style="background-image: url({{ BASE_PATH }}/images/April24/tradebalance.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Seifert Loop</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Seifert_loop(faces(surface_mesh));</pre></h3>
</li>

<li style="background-image: url({{ BASE_PATH }}/images/April24/Seifert.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">The Cartan Method</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Cartan_method_3::estimate_hyperbolic_distances();</pre></h3>
</li>
<!--
<li style="background-image: url({{ BASE_PATH }}/images/segmentation.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Mesh Segmentation</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::sdf_values(surface_mesh);</pre></h3>
</li>
<li style="background-image: url({{ BASE_PATH }}/images/classif_header_cgal.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Classification</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Classification::classify(las_points);</pre></h3>
</li>
<li style="background-image: url({{ BASE_PATH }}/images/periodic_banner.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Periodic Mesh Generation</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Periodic_tet_mesh mesh = CGAL::make_periodic_mesh();</pre></h3>
</li>
<li style="background-image: url({{ BASE_PATH }}/images/voronoi.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Voronoi Diagram</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>VD = CGAL::make_voronoi(points);</pre></h3>
</li>
-->

<!--
<li style="background-image: url({{ BASE_PATH }}/images/polygonal_surface_reconstruction_banner.png); -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover;">
<h2 class="title">Surface Reconstruction</h2>
<h3 class="subtitle"><pre style='text-shadow:none'>CGAL::Polygonal_surface_reconstruction(points);</pre></h3>
</li>
-->
</ul>
<div class="sequence-pagination-wrapper">
<ul class="sequence-pagination">
<li>1</li>
<li>2</li>
<li>3</li>
<li>4</li>
<li>5</li>
<!--
<li>6</li>
<li>7</li>
<li>8</li>
-->
</ul>
</div>
</div>
</div>

<div class="container">
<div class="row">
<div class="blog-post blog-single-post col-md-12">
<p>CGAL is an open source software project that provides easy access to efficient and reliable geometric algorithms in the form of a C++ library.
CGAL is used in various areas needing geometric computation, such as geographic information systems, computer aided design,
molecular biology, medical imaging, computer graphics, and robotics.</p>

<p>The library offers data structures and algorithms like
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartTriangulationsAndDelaunayTriangulations">triangulations</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartVoronoiDiagrams">Voronoi diagrams</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgBooleanSetOperations2">Boolean operations on polygons</a>
and <a href="https://doc.cgal.org/latest/Polygon_mesh_processing/index.html#Coref_section">polyhedra</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgPointSetProcessing3">point set processing</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartArrangements">arrangements of curves</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartMeshing">surface and volume mesh generation</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartGeometryProcessing">geometry processing</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PkgAlphaShapes2">alpha shapes</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartConvexHullAlgorithms">convex hull algorithms</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartReconstruction">shape reconstruction</a>,
<a href="https://doc.cgal.org/latest/Manual/packages.html#PartSearchStructures">AABB and KD trees</a>...
Explore the complete list of features and capabilities by visiting the CGAL
<a href="https://doc.cgal.org/latest/Manual/packages.html" target="_blank">Package Overview</a>.

<p>The CGAL data structures and algorithms are distributed under a dual license, namely under
the GPL v3+ and, alternatively, under a commercial license
by <a href="http://geometryfactory.com/">GeometryFactory</a>.</p>
</div>
</div>

<div class="col-md-8">
<h3>Latest News</h3>
<ul>
{% assign news = site.posts %}
{% assign news_counter = 0 %}
{% assign max_news_number = 4 %}
{% for post in news %}
{% capture this_year %}{{ post.date | date: "%Y" }}{% endcapture %}
{% capture this_month %}{{ post.date | date: "%B" }}{% endcapture %}

{% assign is_release = false %}
{% for tag in post.tags %}
{% if tag contains "release" %}
{% assign is_release = true %}
{% break %}
{% endif %}
{% endfor %}

{% unless is_release == true %}
{% unless post.dontshow %}
{% unless post.tags contains "WIP" %}
<li class="active">{{this_month}} {{this_year}}
<a href="{{ BASE_PATH }}{{post.url}}" class="active">{{post.title}}</a><!--
-->{% unless post.description == "" %} -- {{post.description}}{% endunless %}
</li>
{% assign news_counter = news_counter | plus: 1 %}
{% if news_counter >= max_news_number %}
{% break %}
{% endif %}
{% endunless %}
{% endunless %}
{% endunless %}
{% endfor %}
</ul>
<a href="{{ BASE_PATH}}/news.html" class="btn">Older news and announcements...</a>
</div>
<div class="col-md-4">
{% assign news = site.posts %}
{% assign exist_active_beta = false %}
<h3>Latest Releases</h3>
<ul>
{% for post in news %}
{% capture this_year %}{{ post.date | date: "%Y" }}{% endcapture %}
{% capture this_month %}{{ post.date | date: "%B" }}{% endcapture %}

{% if post.tags contains "latest-release" %}
<li class="active"><b>Latest stable release:</b> <a href="{{ BASE_PATH }}{{post.url}}" class="active">{{post.description}}</a></li>
{% break %}
{% endif %}
{% endfor %}
{% for post in news %}
{% if post.tags contains "active-beta-release" %}
{% assign exist_active_beta = true %}
<li class="active"><b>Active beta release:</b> <a href="{{ BASE_PATH }}{{post.url}}" class="active">{{post.description}}</a></li>
{% break %}
{% endif %}
{% endfor %}
</ul>
<h4>Previous Releases</h4>
<ul>
{% assign releases_counter = 0 %}
{% assign max_releases_number = 1 %}
{% unless exist_active_beta == true %}
{% assign max_releases_number = max_releases_number | plus: 1 %}
{% endunless %}

{% for post in news %}
{% capture this_year %}{{ post.date | date: "%Y" }}{% endcapture %}
{% capture this_month %}{{ post.date | date: "%B" }}{% endcapture %}
{% unless post.dontshow %}
{% unless post.tags contains "WIP" %}
{% if post.tags contains "release" %}
{% unless post.tags contains "latest" or post.tags contains "active" %}
<li class="active">{{this_month}} {{this_year}} <a href="{{ BASE_PATH }}{{post.url}}" class="active">{{post.description}}</a></li>
{% assign releases_counter = releases_counter | plus: 1 %}
{% if releases_counter >= max_releases_number %}
{% break %}
{% endif %}
{% endunless %}
{% endif %}
{% endunless %}
{% endunless %}
{% endfor %}
</ul>
<a href="{{ BASE_PATH}}/releases.html" class="btn">Older releases...</a>
</div>
</div>

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