Geometric property measurement of convex objects using fuzzy sets

Wolfgang Poelzleitner

doi:10.1117/12.25172

1 February 1991 Geometric property measurement of convex objects using fuzzy sets

Wolfgang Poelzleitner

Proceedings Volume 1381, Intelligent Robots and Computer Vision IX: Algorithms and Techniques; (1991) https://doi.org/10.1117/12.25172
Event: Advances in Intelligent Robotics Systems, 1990, Boston, MA, United States

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.

Citation Download Citation

Wolfgang Poelzleitner "Geometric property measurement of convex objects using fuzzy sets", Proc. SPIE 1381, Intelligent Robots and Computer Vision IX: Algorithms and Techniques, (1 February 1991); https://doi.org/10.1117/12.25172

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