The digital topology of sets of convex voxels

被引:4
|
作者
Saha, PK [1 ]
Rosenfeld, A
机构
[1] Univ Penn, Med Image Proc Grp, Philadelphia, PA 19104 USA
[2] Univ Maryland, Ctr Automat Res, Comp Vis Lab, College Pk, MD 20742 USA
关键词
D O I
10.1006/gmod.2000.0527
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Classical digital geometry deals with sets of cubical voxels (or square pixels) that can share faces, edges, or vertices, but basic parts of digital geometry can be generalized to sets S of convex voxels (or pixels) that can have arbitrary intersections. In particular, it can be shown that if each voxel P of S has only finitely many neighbors (voxels of S that intersect P), and if any nonempty intersection of neighbors of P intersects P, then the neighborhood N(P) of every voxel P is simply connected and without cavities, and if the topology of N(P) does not change when P is deleted (i.e., P is a "simple" voxel), then deletion of P does not change the topology Of S. (C) 2000 Academic Press.
引用
收藏
页码:343 / 352
页数:10
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