Topological modeling with simplicial complexes

Simplicial complexes are useful for modeling shape of a discrete geometric domain and for discretizing continuous domains. A geometric triangulation of a point set S is a simplicial complex whose vertex set is contained in S and whose underlying space is the convex hull of S. In this thesis we study different approaches for constructing subcomplexes of a geometric triangulation to obtain a good model of a given domain. The work described in this thesis is about regular triangulations, weighted α-shapes and homeomorphic triangulations.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Computer Science

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Shah, Nimish Rameshbhai

Contributors dc:contributor

• Edelsbrunner, Herbert

• Computer Science

Statement dc:rights

• Copyright 1994 Shah, Nimish Rameshbhai

Language dc:language

eng

Identifier

AAI9512544
(UMI)AAI9512544

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20105