C1光滑拼接二次函数的若干问题

Abstract

Abstract: Using the theory of bivariate Hermite interpolation, we found the necessary condition of a quadratic function’s continuity on a triangular vertex and proved the existence of one quadratic function that is C¹blendingwith three given quadratic functions. Furthermore, we investigated the problems of C¹ blending in a open multiangular field and close quadrangular field respectively.

Key words: multiangular field, quadrangular field, quadra tic functions, C¹smooth blending

CLC Number:

O241.5

WANG Shuang, LI Peng. Some Problems of C¹ Smooth Blending for Quadratic Surfaces[J].J4, 2008, 46(06): 1013-1020.

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Some Problems of C¹ Smooth Blending for Quadratic Surfaces

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Some Problems of C1 Smooth Blending for Quadratic Surfaces

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Some Problems of C¹ Smooth Blending for Quadratic Surfaces