Computational topology for shape modeling

Author

Hart, John C.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

fYear

1999

fDate

1-4 Mar 1999

Firstpage

36

Lastpage

43

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

Keywords

computational geometry; mathematical morphology; topology; Morse theory; computational topology; connectedness control; connectedness loci; geometric representations; implicit surfaces; modeling parameter changes; recurrent models; shape modeling; Computational geometry; Computational modeling; Computer graphics; Fractals; Integrated circuit modeling; Rendering (computer graphics); Shape; Solid modeling; Spline; Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

Shape Modeling and Applications, 1999. Proceedings. Shape Modeling International '99. International Conference on

Conference_Location

Aizu-Wakamatsu

Print_ISBN

0-7695-0065-X

Type

conf

DOI

10.1109/SMA.1999.749320

Filename

749320