Generating the Bézier points of a -spline curve

Abstract We present an efficient algorithm for computing the Bezier points of a generalized cubic β-spline curve and show the connection with multiple knot insertion. We also consider the inverse problem of determining the β-spline vertices of a composite G 2 Bezier curve. Finally, we briefly discuss how to construct the Bezier net of a tensor product β-spline surface.

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