@inproceedings{33148881115a4b7087d56912b0f69a5f,
title = "Computational topology for shape modeling",
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.",
author = "Hart, {John C.}",
year = "1999",
doi = "10.1109/SMA.1999.749320",
language = "English (US)",
isbn = "076950065X",
series = "Proceeedings - Shape Modeling International 1999 - International Conference on Shape Modeling and Applications",
pages = "36--43",
booktitle = "Proceeedings - Shape Modeling International 1999 - International Conference on Shape Modeling and Applications",
note = "Shape Modeling International 1999 - International Conference on Shape Modeling and Applications, SMI 1999 ; Conference date: 01-03-1999 Through 04-03-1999",
}