两 个 轴 异 面 的 管 道 拼 接

两个轴异面的管道拼接

雷娜，崔丽，伍铁如

吉林大学数学研究所，长春 130012

收稿日期:2002-04-09 修回日期:1900-01-01 出版日期:2002-04-26 发布日期:2002-04-26
通讯作者: 雷娜

Blending Tubes Whose Axes are Non-coplanar

LEI Na, CUI Li, WU Tie-ru

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2002-04-09 Revised:1900-01-01 Online:2002-04-26 Published:2002-04-26
Contact: LEI Na

摘要/Abstract

摘要： 证明二轴异面的圆管在其任意平面截口处通常不能用三次代数曲面GC¹拼接，提出构造轴线与给定二圆管的轴分别共面的辅助圆柱，并利用二轴共面的吴文俊公式实现了给定圆管的分两段的三次GC¹拼接.

关键词: 异面管, 吴文俊公式, 曲面拼接

Abstract: In this paper, we prove that given two cylinders whose axes are non-coplanar, in general, there doesn't exist a cubic GC^{1 blending surface for any clipping planes. We introduce a new trick, i.e., to constructing an auxiliary cylinder whose axis is coplanar with each of the two axes of the two given cylinder respectively and then obtain the two-piece cubic GC¹ blending surfaces by using Wu Wen-tsun Formulae of t wo coplanar cylinders.}

Key words: non-coplanar tubes, WU Wen-tsun formulae, blending surfaces

中图分类号:

O241.7

雷娜，崔丽，伍铁如. 两个轴异面的管道拼接[J]. J4, 2002, 40(02): 138-140.

LEI Na, CUI Li, WU Tie-ru. Blending Tubes Whose Axes are Non-coplanar[J]. J4, 2002, 40(02): 138-140.

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[2]	于凯, 薛长虹. 滚球曲面的代数性[J]. J4, 2002, 40(03): 250-251.