Design and G1 connection of developable surfaces through Bezier geodesics

被引：24
|
作者：
Li, Cai-Yun [1 ]
Wang, Ren-Hong [1 ]
Zhu, Chun-Gang [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Geodesic; Developable surfaces; G(1) connection; SHORTEST PATHS; PATCHES; PENCIL;
D O I：
10.1016/j.amc.2011.08.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For potential application in shoemaking and garment manufacture industries, the G(1) connection of (1,k) developable surfaces with abutting geodesic is important. In this paper, we discuss the developable surface which contains a given 3D Bezier curve as geodesic and prove the corresponding conclusions in detail. Primarily we study G(1) connection of developable surfaces through abutting cubic Bezier geodesics and give some examples. (c) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3199 / 3208
页数：10
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