两个代数曲面的GC^k拼接  

GC^k Blending of Two Algebraic Surfaces

作　　者：伍铁如[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2002年第1期36-39,共4页Journal of Jilin University:Science Edition

基　　金：吉林大学青年教师科研基金

摘　　要：用代数几何工具 ,讨论两个任意次代数曲面的GCk 光滑拼接问题 ,得到具有GCk 连续的p次混合曲面存在性的判别条件 ,并将所建立的条件应用于几种常用情形 。In this paper, we discuss GC k blending problem of two algebraic surfaces of any degree by using the tools of algebraic geometry, obtain some conditions for the existense of blending surfaces of degree p with GC k continuity. We also deal with some special problems by using the conditions obtained in the paper and derive the corresponding condition and the constructive formulae of blending surfaces. The conditions obtained in this paper are of simple form, easy to be decided and constructive in some interest cases.

关 键 词：理想 隐式代数曲面 混合曲面 控制曲面 标准展开式 代数几何 GC^k光滑拼接 CAGD 

分 类 号：O187.1[理学—数学] TP391.72[理学—基础数学]