Some properties of convexity indicators based on fuzzy morphology

Antony T. Popov

doi:10.1117/12.279676

20 October 1997 Some properties of convexity indicators based on fuzzy morphology

Antony T. Popov

Proceedings Volume 3168, Vision Geometry VI; (1997) https://doi.org/10.1117/12.279676
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

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 c_K has been proposed. It can be applied both to binary and grey-tone images and it is not sensitive to random noise.

Citation Download Citation

Antony T. Popov "Some properties of convexity indicators based on fuzzy morphology", Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); https://doi.org/10.1117/12.279676

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