Title :
Computational topology for shape modeling
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
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;
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
DOI :
10.1109/SMA.1999.749320
