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王 双, 李 鹏
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WANG Shuang, LI Peng
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摘要： 借助二元函数的Hermite插值理论, 给出了在三角形外 侧给定的二次函数在角点C1连续的必要条件, 证明了当此条件成立时存在一个二次函数与给定的3个二次函数C1光滑拼接, 并分别研究了不封闭的多角形域上和封闭的四边形域上二次函数的光滑拼接问题.
关键词: 多角形域, 四边形域, 二次函数, C1光滑拼接
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 C1blendingwith 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
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王 双, 李 鹏. C1光滑拼接二次函数的若干问题[J]. J4, 2008, 46(06): 1013-1020.
WANG Shuang, LI Peng. Some Problems of C1 Smooth Blending for Quadratic Surfaces[J]. J4, 2008, 46(06): 1013-1020.
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链接本文: https://xuebao.jlu.edu.cn/lxb/CN/
https://xuebao.jlu.edu.cn/lxb/CN/Y2008/V46/I06/1013
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