应用PDE方法构造两个代数曲面拼接

J4 ›› 2010, Vol. 9 ›› Issue (4): 23-25.

应用PDE方法构造两个代数曲面拼接

四川理工学院理学院，四川自贡 643000

收稿日期:2010-03-12 出版日期:2010-04-15 发布日期:2010-04-15
作者简介:李云东，讲师，主要从事计算机代数和偏微分方程数值计算研究.

Blending of Two Algebraic Surfaces by PDE Method

College of Science, Sichuan University of Science & Engineering, Zigong, Sichuan 643000, China

Received:2010-03-12 Online:2010-04-15 Published:2010-04-15

摘要/Abstract

摘要：

应用PDE方法实现两个曲面的C¹光滑拼接，并根据实例对算法加以介绍，运用mathematica软件编程运算和处理图像，直
观的证明了算法的合理性和可行性。

关键词: 计算机代数, 曲面拼接, 偏微分方程

Abstract:

In this paper, we introduced the smooth blending of two algebraic surfaces by PDE method and the algorithm by
concrete examples. By the operation and image of blending surfaces with mathematics, we prove that the rationality and feasibility of algorithm.

Key words: computer algebra, blending surface, PDE

中图分类号:

O241.7

李云东, 张先君. 应用PDE方法构造两个代数曲面拼接[J]. J4, 2010, 9(4): 23-25.

LI Yun-Dong, ZHANG Xian-Jun. Blending of Two Algebraic Surfaces by PDE Method[J]. J4, 2010, 9(4): 23-25.