Computational topology for shape modeling

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling. Two geometric representations in particular-recurrent models and implicit surfaces-can (often unpredictably) become connected or disconnected based on typical changes in modeling parameters. Two methodologies for controlling connectedness are identified: connectedness loci and Morse theory. The survey concludes by identifying several open problems remaining in shape modeling for computational topology to solve.

Original languageEnglish (US)
Title of host publicationProceeedings - Shape Modeling International 1999 - International Conference on Shape Modeling and Applications
Pages36-43
Number of pages8
DOIs
StatePublished - Dec 1 1999
Externally publishedYes
EventShape Modeling International 1999 - International Conference on Shape Modeling and Applications, SMI 1999 - Aizu-Wakamatsu, Japan
Duration: Mar 1 1999Mar 4 1999

Publication series

NameProceeedings - Shape Modeling International 1999 - International Conference on Shape Modeling and Applications

Other

OtherShape Modeling International 1999 - International Conference on Shape Modeling and Applications, SMI 1999
CountryJapan
CityAizu-Wakamatsu
Period3/1/993/4/99

ASJC Scopus subject areas

  • Modeling and Simulation

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