A rational extension of Piegl's method for filling n-sided holes

被引：43
|
作者：
Yang, Yi-Jun [1 ]
Yong, Jun-Hai
Zhang, Hui
Paul, Jean-Claude
Sun, Jia-Guang
机构：
[1] Tsinghua Univ, Sch Software, Inst CG & CAD, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
来源：
COMPUTER-AIDED DESIGN | 2006年 / 38卷 / 11期
基金：
中国国家自然科学基金;
关键词：
N-sided hole; NURBS; Coons surfaces; epsilon-G(1) continuity;
D O I：
10.1016/j.cad.2006.07.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
N-sided hole filling plays an important role in vertex blending. To deal with the case that the corner is surrounded by rational surfaces (i.e. NURBS surfaces), an algorithm to fill n-sided holes with epsilon-G(1) continuous NURBS patches that interpolate the given boundary curves and approximate the given cross-boundary derivatives is presented based on Piegl's method. The NURBS surfaces joining along inner or boundary curves have normal vectors that do not deviate more than the user-specified angular tolerance epsilon. The boundaries as well as cross-boundary derivatives can all be NURBS curves. No restrictions are imposed on the number of boundary curves, and the cross-boundary derivatives can be specified independently. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1166 / 1178
页数：13
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