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In this paper we construct a new kind of basis functions of Bézier curve with single shape parameter, and then by these basis functions we give a practical algorithm of curve modeling. We discuss some important properties of the basis functions and the corresponding curves. Further, we extend our study to the tensor product surface with two shape parameters. We construct the new basis functions of...
A kind of mixed tensor product Bernstein-Poisson basis function is presented in this paper. Some important properties of this kind of basis function are discussed and mixed tensor product Bézier-Poisson surface is defined based on it. The basic properties of the such surface are discussed. Via de Casteljau algorithm, the evaluation algorithm and subdivision algorithm for mixed tensor product Bézier-Poisson...
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