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Shape space from deformation (2001)
by
Ho-lun Cheng
,
Herbert Edelsbrunner
,
Ping Fu
| Venue: | Computational Geometry: Theory and Applications 19 |
| Citations: | 20 - 10 self |
BibTeX
@INPROCEEDINGS{Cheng01shapespace,
author = {Ho-lun Cheng and Herbert Edelsbrunner and Ping Fu},
title = {Shape space from deformation},
booktitle = {Computational Geometry: Theory and Applications 19},
year = {2001}
}
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Abstract
The construction of shape spaces is studied from a mathematical and a computational viewpoint. A program is outlined reducing the problem to four tasks: the representation of geometry, the canonical deformation of geometry, the measuring of distance in shape space, and the selection of base shapes. The technical part of this paper focuses on the second task: the speci cation of a deformation mixing two or more shapes in continuously changing proportions. 1
