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On a generalization of Blaschke's Rolling Theorem and the smoothing of surfaces

✍ Scribed by Guenther Walther

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 167 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19990310)22:4<301::aid-mma42>3.0.co;2-m

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✦ Synopsis

A generalization of Blaschke's Rolling Theorem for not necessarily convex sets is proved that exhibits an intimate connection between a generalized notion of convexity, various concepts in mathematical morphology and image processing, and a certain smoothness condition. As a consequence a geometric characterization of Serra's regular model is obtained and various problems in image processing arisng from the smoothing of surfaces with Sternberg's rolling ball algorithm are addressed.

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