This paper presents a simple geometric method for interactively designing smooth convex curves with a nonuniform cubic B-spline description, in the case of given first derivatives at end-points. This method does not manipulate a large number of control points defining a B-spline curve and therefore avoids solving a large system of equations, and gives the user direct control over the shape of the curve. The main geometrical properties of the curve generated by the method are proved.
Index Terms:
Interactive curve design, Smooth convex curves, Parametric cubic B-splines, Subdivision methods, Geometric continuity.
Citation:
Hui Guan, Tatsuo Torii, "An Intuitive Approach to Convex Curve Design," cgi, pp.214, Computer Graphics International 1996 (CGI'96), 1996