Title :
Fuzzy set in geometric modeling
Author :
Wahab, Abd Fatah ; Ali, Jamaludin Md ; Majid, Ahmad Abd ; Tap, Abu Osman Md
Author_Institution :
Dept. of Math., KUSTEM, Malaysia
Abstract :
Geometric modeling involving uncertainty of data is the major problem in CAGD. By using the theory of fuzzy set and its properties, the issues of uncertainty can be solved through the concept of fuzzy numbers. We apply fuzzy numbers as uncertainty data and defined a new kind of fuzzy control points. With this type of points we then introduced a fuzzy Bezier curve and fuzzy B-spline. By these definitions, we construct a curve of such fuzzy spline and given an example of fuzzy Bezier curve and fuzzy B-spline in the context of CAGD at the end of this concept papers.
Keywords :
computational geometry; curve fitting; fuzzy logic; fuzzy set theory; splines (mathematics); uncertainty handling; CAGD; fuzzy B-spline; fuzzy Bezier curve; fuzzy control points; fuzzy numbers; fuzzy set; geometric modeling; uncertainty data; Context modeling; Data structures; Fuzzy control; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Mathematics; Solid modeling; Spline; Uncertainty;
Conference_Titel :
Computer Graphics, Imaging and Visualization, 2004. CGIV 2004. Proceedings. International Conference on
Print_ISBN :
0-7695-2178-9
DOI :
10.1109/CGIV.2004.1323990
