Fuzzy points: algebra and application |
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| Authors: | RE Mercer JL Barron AA Bruen D Cheng |
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| Affiliation: | a Department of Computer Science, The University of Western Ontario, London, Ontario, Canada N6A 5B7
b Theoretical Biology and Biophysics Group, T-10, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
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| Abstract: | A fuzzy point is a region representing the uncertain location of a normal Euclidean point. A fuzzy point in the plane is considered to be a closed disk (a circle and its interior). The algebra of fuzzy points (which includes fuzzy vectors and fuzzy angles) is presented. Since fuzzy points are represented as closed disks, the lengths of fuzzy vectors, and the angles between fuzzy vectors can be viewed as properties of circles in the plane. Methods to compute the magnitude of a fuzzy angle are given. An application of fuzzy point algebra to the problem of detecting and tracking storms in Doppler radar image sequences, which motivates this work, is discussed. |
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| Keywords: | Fuzzy storms Fuzzy vectors Fuzzy angles Fuzzy algebra Doppler radar imagery Tracking deformable objects |
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