Generalized Subdivision of Bézier Surfaces
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Abstract
The subdivision of rectangular and triangular Bézier surfaces is generalized from with line to with polynomial curve in domain.By using of parameter transformation and blossoming of polynomial,each subpatch's Bézier control points are evaluated.The subdivision method based on curve makes more choices for the style of subdivision and the shape of the subpatches and their sides. This method is also working for rational cases.
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