用最低次曲面光滑拼接多个二次曲面的判别条件

用最低次曲面光滑拼接多个二次曲面的判别条件

厉玉蓉, 雷娜，张树功

吉林大学数学研究所，长春 130012

收稿日期:2003-03-14 修回日期:1900-01-01 出版日期:2003-04-26 发布日期:2003-04-26
通讯作者: 厉玉蓉

Existence Criterion of Blending Several Quadratic Surfaces with the Lowest Degree Surface

LI Yu-rong, LEI Na, ZHANG Shu-gong

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2003-03-14 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
Contact: LI Yu-rong

摘要/Abstract

摘要： 证明了n个二次曲面在平面截口处存在n+1次C¹拼接曲面的条件是其中任意两个二次曲面存在三次C¹拼接曲面, 且系数满足一定的比例关系.

关键词: 控制曲面, 曲面拼接, 判定条件

Abstract: In this paper, we prove that the condition for the existence of a C¹ blending surface whose degree is n+1 of n quadratic surfaces along their plane intersections is that there is a cubic blending surface of any two quadratic surfaces and the coefficients satisfy some proportional contact.

Key words: ruled surface, blending surface, criterion

中图分类号:

O241.7

厉玉蓉, 雷娜，张树功. 用最低次曲面光滑拼接多个二次曲面的判别条件[J]. J4, 2003, 41(02): 157-158.

LI Yu-rong, LEI Na, ZHANG Shu-gong. Existence Criterion of Blending Several Quadratic Surfaces with the Lowest Degree Surface[J]. J4, 2003, 41(02): 157-158.

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