Title :
Fuzzy Geometric Modeling
Author :
Wahab, Abd Fatah ; Ali, Jamaludin Md ; Majid, Ahmad Abd
Author_Institution :
Dept. of Math., UMT, Pakistan
Abstract :
Fuzzy geometric modeling provides a useful tool to introduce uncertainty into mathematical spline model. In this paper a new concept of a geometric modeling is presented, based on the theory of fuzzy numbers. By the notion of fuzzy number we introduce fuzzy control point for fuzzy curve and fuzzy surface model for CAGD. We study the properties concerning approximation of fuzzy control points by means of fuzzy Bezier, fuzzy B-spline and fuzzy NURBS.
Keywords :
approximation theory; computational geometry; curve fitting; fuzzy set theory; number theory; splines (mathematics); surface fitting; CAGD; fuzzy B-spline; fuzzy Bezier; fuzzy NURBS; fuzzy control point approximation; fuzzy curve; fuzzy geometric modeling; fuzzy number theory; fuzzy surface model; mathematical spline model; Fuzzy control; Fuzzy set theory; Fuzzy sets; Mathematical model; Mathematics; Solid modeling; Spline; Surface reconstruction; Surface topography; Uncertainty; Fuzzy Bezier and Fuzzy B-spline; Fuzzy NURBS; Fuzzy control points; Fuzzy number; Fuzzy set;
Conference_Titel :
Computer Graphics, Imaging and Visualization, 2009. CGIV '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3789-4
DOI :
10.1109/CGIV.2009.82
