<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Surface Simplification | Meshing for applied science Lab (+Lab)</title><link>https://meshinglab.dcc.uchile.cl/tag/surface-simplification/</link><atom:link href="https://meshinglab.dcc.uchile.cl/tag/surface-simplification/index.xml" rel="self" type="application/rss+xml"/><description>Surface Simplification</description><generator>Hugo Blox Builder (https://hugoblox.com)</generator><language>en-us</language><lastBuildDate>Fri, 10 Apr 2026 00:00:00 +0000</lastBuildDate><image><url>https://meshinglab.dcc.uchile.cl/media/logo_hu7ee28d49cf98d258554d0a9c49710c78_10711_300x300_fit_lanczos_3.png</url><title>Surface Simplification</title><link>https://meshinglab.dcc.uchile.cl/tag/surface-simplification/</link></image><item><title>Congratulations Cristian Saez de Cea! 🎓</title><link>https://meshinglab.dcc.uchile.cl/post/26-04-10-cristian-saez-master-defense/</link><pubDate>Fri, 10 Apr 2026 00:00:00 +0000</pubDate><guid>https://meshinglab.dcc.uchile.cl/post/26-04-10-cristian-saez-master-defense/</guid><description>&lt;h2 id="exam-details">Exam Details&lt;/h2>
&lt;ul>
&lt;li>&lt;strong>Student:&lt;/strong> &lt;a href="https://meshinglab.dcc.uchile.cl/author/cristiansaez/">Cristian Saez de Cea&lt;/a>&lt;/li>
&lt;li>&lt;strong>Thesis Title:&lt;/strong> A POLYGONAL SURFACE MESH SIMPLIFICATION ALGORITHM&lt;/li>
&lt;li>&lt;strong>Advisor:&lt;/strong> &lt;a href="https://meshinglab.dcc.uchile.cl/author/nancy/">Nancy Hitschfeld Kahler&lt;/a>&lt;/li>
&lt;li>&lt;strong>Co-advisor:&lt;/strong> &lt;a href="https://meshinglab.dcc.uchile.cl/author/ssalinas/">Sergio Salinas Fernández&lt;/a>&lt;/li>
&lt;li>&lt;strong>Committee Members:&lt;/strong>
&lt;ul>
&lt;li>&lt;a href="https://meshinglab.dcc.uchile.cl/author/valentinmunoz/">Valentin Muñoz Apablaza&lt;/a>&lt;/li>
&lt;li>Iván Sipirán&lt;/li>
&lt;li>&lt;a href="https://meshinglab.dcc.uchile.cl/author/claudiolobos/">Claudio Lobos&lt;/a>&lt;/li>
&lt;/ul>
&lt;/li>
&lt;/ul>
&lt;h2 id="thesis-abstract">Thesis Abstract&lt;/h2>
&lt;p>&lt;strong>A POLYGONAL SURFACE MESH SIMPLIFICATION ALGORITHM&lt;/strong>&lt;/p>
&lt;p>We present a novel method for generating polygonal mesh representations of 3D surfaces. Building upon the principles of the 2D Polylla algorithm, our approach constructs a simplified polygonal mesh from a triangulated surface by grouping adjacent triangles into disjoint regions that form polygonal facets. This process reduces mesh complexity while preserving essential geometric features. The implementation is developed in C++ using the CGAL library, which provides robust and efficient tools for geometric computation on 3D surface meshes.&lt;/p>
&lt;p>Overall, our approach reduces the disk space required by the original triangulation by 20–50% and requires approximately half the storage space of the corresponding Voronoi mesh.&lt;/p>
&lt;hr>
&lt;p>Congratulations to Cristian for his academic milestone and professional success! 🎊&lt;/p>
&lt;blockquote>
&lt;p>&amp;ldquo;De mi debilidad, obtuve una fuerza que nunca me abandonó.&amp;rdquo;
— Jorge Luis Borges&lt;/p>
&lt;/blockquote>
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