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An intuitive approach to convex curve design

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.