Bézier patches on almost toric surfaces
نویسنده
چکیده
The paper is devoted to the parametrization extension problem: given a loop composed of 3 (resp. 4) rational Bézier curves on a rational surface X, find a triangular (resp. tensor product) Bézier patch on X of optimal degree bounded by these curves. The constructive solution to the formulated problem is presented in details for cases where X is a sphere or a hyperbolic paraboloid. Then X is an almost toric surface the general solution is outlined using the universal rational parametrization theory. Also an open problem of a linear precision property for toric Bézier patches is discussed.
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