Fuzzy Geometric Modeling

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.