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Proceedings Paper

Geometric property measurement of convex objects using fuzzy sets
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Paper Abstract

An application of the theory of fuzzy sets to detect and measure convex objects in an image is described. Geometric measurements involving the concept of the perimeter of a fuzzy set are compared to measurements using moment parameters of the membership function. The concept of the perimeter of fuzzy sets offers a way to take geometric measurements from a scene without having to segment it. A method to compute the perimeter of a convex fuzzy set was proposed by Rosenfeld [1]. For the special case of elliptically shaped convex objects an alternative formula is proposed. In this method the fuzzy set is approximated by a crisp set of elliptic shape which has same area and second order moments. The computation of the membership function plays a key role in this theory. We use a fuzzy c-means clustering algorithm to compute the membership function. The method is tested on real images.

Paper Details

Date Published: 1 February 1991
PDF: 12 pages
Proc. SPIE 1381, Intelligent Robots and Computer Vision IX: Algorithms and Techniques, (1 February 1991); doi: 10.1117/12.25172
Show Author Affiliations
Wolfgang Poelzleitner, Joanneum Research (Austria)

Published in SPIE Proceedings Vol. 1381:
Intelligent Robots and Computer Vision IX: Algorithms and Techniques
David P. Casasent, Editor(s)

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