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Surface spectral analysis and applications in computer graphics

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Author(s):
Fernando Ferrari de Goes
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Computação
Defense date:
Examining board members:
Siome Klein Goldenstein; Jorge Stolfi; Marcelo Ferreira Siqueira
Advisor: Siome Klein Goldenstein
Abstract

Many applications in computer graphics consist of the analysis and manipulation of the geometry of surfaces. The Laplace-Beltrami operator presents eigenvalues and eigenfuncitons which caracterize the geometry of manifolds, supporting powerful tools for geometry processing. In this dissertation, we revisit the spectral properties of the Laplace-Beltrami operator and apply them in computer graphics. In particular, we introduce new approaches for the problems of semantic segmentation and atlas generation on surfaces (AU)