A curve smoothing method by using fuzzy sets

✍ Scribed by Byung Soo Moon

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 314 KB
• Volume: 96
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00313-2

✦ Synopsis

For a set of points {(t,, x,)ln = 1, 2, 3, ... } in the plane, a fuzzy set which is the Cartesian product of a B-spline B,(t) and a triangular function T~(x) is assigned to each of the points. Another fuzzy set B,(t) x I(x), where l(x) is the constant function with value 1 is used to form the intersection with each ofBj x Tk corresponding to (t j, x j). Then we take the union of the resulting fuzzy sets and apply the center of gravity method to obtain a smoothing algorithm. The results of applying this algorithm to a set of A/D converted data and a comparison with the ones by an optimal solution are presented. The natural generalization of this algorithm to arbitrary plane curves or higher-dimensional curves are discussed.