Congratulations Cristian Saez de Cea! 🎓

Exam Details

• Student: Cristian Saez de Cea
• Thesis Title: A POLYGONAL SURFACE MESH SIMPLIFICATION ALGORITHM
• Advisor: Nancy Hitschfeld Kahler
• Co-advisor: Sergio Salinas Fernández
• Committee Members:
  • Valentin Muñoz Apablaza
  • Iván Sipirán
  • Claudio Lobos

Thesis Abstract

A POLYGONAL SURFACE MESH SIMPLIFICATION ALGORITHM

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.

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.

Congratulations to Cristian for his academic milestone and professional success! 🎊

“De mi debilidad, obtuve una fuerza que nunca me abandonó.” — Jorge Luis Borges