Journal article
Strongly normal sets of contractible tiles in N dimensions
Pattern recognition, Vol.40(2), pp.530-543
2007
DOI: 10.1016/j.patcog.2005.11.013
Abstract
The second and third authors and others have studied collections of (usually) convex “tiles”—a generalization of pixels or voxels—in and that have a property called strong normality (SN): for any tile P, only finitely many tiles intersect P, and any nonempty intersection of those tiles also intersects P. This paper extends basic results about strong normality to collections of contractible polyhedra in whose nonempty intersections are contractible. We also give sufficient (and trivially necessary) conditions on a locally finite collection of contractible polyhedra in or for their nonempty intersections to be contractible.
Details
- Title: Subtitle
- Strongly normal sets of contractible tiles in N dimensions
- Creators
- T Yung Kong - Department of Computer Science, Queens College, CUNY, Flushing, NY 11367-1597, United StatesPunam Kumar Saha - Laboratory for Structural NMR Imaging, Department of Radiology, University of Pennsylvania, Philadelphia, PA 19104-6021, United StatesAzriel ROSENFELD - Center for Automation Research, University of Maryland, College Park, MD 20742-3275, United States
- Resource Type
- Journal article
- Publication Details
- Pattern recognition, Vol.40(2), pp.530-543
- Publisher
- Elsevier Science; Oxford
- DOI
- 10.1016/j.patcog.2005.11.013
- ISSN
- 0031-3203
- eISSN
- 1873-5142
- Language
- English
- Date published
- 2007
- Academic Unit
- Electrical and Computer Engineering; Radiology
- Record Identifier
- 9984051549202771
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