Lucas Moutinho Bueno

• Abstract

  Triangulations are broadly used in many areas of mathematics and computer science, such as Topology, computational geometry and computer graphics.This work aims to study and improve the topologial representation of triangulations by efficient data structures. In particular, we are interested on a data structure that is both simple and generalizable to multiple dimensions. The GEM (Graph-E…

  GEM data structure for triangulations, BP.PD

• Abstract

  This PhD project will be developed by the graduate student Lucas Moutinho Bueno, under the advising of Professor Jorge Stolfi. The proposal is to enable the GEM data structure for topological map triangulation of n dimensions. The project focuses in the areas of graph theory and topology, which makes it mostly theoretical, but it covers other areas of computing like computational geometry…

  GEM data structure for topological map triangulation of n dimensions., BP.DR
• Comparative study of local image descriptors applied to content based image retrieval., BP.MS

(Only some records are available in English at this moment)

• Abstract

  This document is a proposal of a one year duration research project with the theme of nonlinear dimensionality reduction that will be executed by Dr. Lucas Moutinho Bueno. Dimensionality reduction consists of projecting high-dimensional data to a low-dimensional space using a specic method. When linear functions are used by a method to project the whole data to a low-dimensional space, we…

  Nonlinear dimensionality reduction, BE.EP.PD