二次曲面的光滑拼接与角域填补

二次曲面的光滑拼接与角域填补

王双, 李鹏

吉林大学数学学院, 长春 130012

收稿日期:2007-12-26 修回日期:1900-01-01 出版日期:2008-01-26 发布日期:2008-01-26
通讯作者: 李鹏

Smooth Blending and Corner Filling with Quadratic Surfaces

WANG Shuang, LI Peng

College of Mathematics, Jilin University, Changchun 130012, China

Received:2007-12-26 Revised:1900-01-01 Online:2008-01-26 Published:2008-01-26
Contact: LI Peng

摘要/Abstract

摘要： 借助曲面光滑余因子理论, 研究用二次曲面GC₁拼接两个二次曲面和角域的填补问题, 得到了用二次曲面同时GC₁拼接给定的两个二次曲面的充分必要条件, 并提供了二次曲面在角域上的填补方法, 从而为多边形区域上的补洞问题提供了一种方法.

关键词: 二次曲面, GC₁拼接, 角域填补, 光滑余因子

Abstract: We investigated the problem of GC₁ blending and corner filling with a quadratic surface for two givenquadratic surfaces with the help of smooth cofactor, presenting the sufficient and necessary condition of GC₁ blending with the quadratic surface, and giving a method of corner filling with quadratic surfaces. This work introduces an effective solution for the problem of hole filling in polygonal region.

Key words: quadratic surface, GC₁ blending, corner filling, smoothing cofactor

中图分类号:

O241.5

王双, 李鹏. 二次曲面的光滑拼接与角域填补[J]. J4, 2008, 46(01): 45-47.

WANG Shuang, LI Peng. Smooth Blending and Corner Filling with Quadratic Surfaces[J]. J4, 2008, 46(01): 45-47.