Linear-time geometric algorithm for evaluating Bézier curves
Abstract
A new algorithm for computing a point on a polynomial or rational curve in Bézier form is proposed. The method has a geometric interpretation and uses only convex combinations of control points. The new algorithm's computational complexity is linear with respect to the number of control points and its memory complexity is O(1). Some remarks on similar methods for surfaces in rectangular and triangular Bézier form are also given.
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