Journal article
The Digital Topology of Sets of Convex Voxels
Graphical models, Vol.62(5), pp.343-352
09/2000
DOI: 10.1006/gmod.2000.0527
Abstract
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.
Details
- Title: Subtitle
- The Digital Topology of Sets of Convex Voxels
- Creators
- Punam K Saha - University of PennsylvaniaAzriel Rosenfeld - University of Maryland, College Park
- Resource Type
- Journal article
- Publication Details
- Graphical models, Vol.62(5), pp.343-352
- Publisher
- Elsevier Inc
- DOI
- 10.1006/gmod.2000.0527
- ISSN
- 1524-0703
- eISSN
- 1524-0711
- Language
- English
- Date published
- 09/2000
- Academic Unit
- Electrical and Computer Engineering; Radiology
- Record Identifier
- 9984197543302771
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