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Proceedings Paper

Some properties of convexity indicators based on fuzzy morphology
Author(s): Antony T. Popov
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Paper Abstract

This work continues the research presented. There we defined a general class of approximate convexity measures, referred to a s convexity indicators. Their definition was based on the fuzzy inclusion indicators, introduced by Sinha and Dougherty. A special attention was paid to the convexity indicator c. Although this convexity indicator has good theoretical properties, for instance to characterize the fuzzy compact convex sets, in the latter work it has been examined that it is not applicable to crisp sets and is very sensitive to random noise. Therefore, a new convexity indicator cK has been proposed. It can be applied both to binary and grey-tone images and it is not sensitive to random noise.

Paper Details

Date Published: 20 October 1997
PDF: 6 pages
Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); doi: 10.1117/12.279676
Show Author Affiliations
Antony T. Popov, St. Kliment Ohridski Univ. of Sofia (Bulgaria)

Published in SPIE Proceedings Vol. 3168:
Vision Geometry VI
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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