Abstract
A sufficient condition for a tensor-product Bézier surface to be convex is presented. The condition does not require that the control surface itself is convex, which is known to be a very restrictive property anyway. The convexity condition is generalised toC 1 tensor-product B-spline surfaces.
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Floater, M.S. A weak condition for the convexity of tensor-product Bézier and B-spline surfaces. Adv Comput Math 2, 67–80 (1994). https://doi.org/10.1007/BF02519036
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DOI: https://doi.org/10.1007/BF02519036