Shape space from deformation

被引:17
作者
Cheng, HL
Edelsbrunner, H
Fu, P
机构
[1] Duke Univ, Dept Comp Sci, Durham, NC 27708 USA
[2] Univ Illinois, Dept Comp Sci, Urbana, IL 61801 USA
[3] Raindrop Geomag, Res Triangle Pk, NC USA
来源
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | 2001年 / 19卷 / 2-3期
基金
美国国家科学基金会;
关键词
computational geometry; shape space; morphing; Delaunay triangulations; alpha shapes; skin surfaces;
D O I
10.1016/S0925-7721(01)00021-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 specification of a deformation mixing two or more shapes in continuously changing proportions. (C) 2001 Elsevier Science B.V All rights reserved.
引用
收藏
页码:191 / 204
页数:14
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