Fairing point sets using curvature

被引:12
作者
Mullineux, Glen [1 ]
Robinson, Sebastian T. [1 ]
机构
[1] Univ Bath, Dept Mech Engn, Innovat Mfg Res Ctr, Bath BA2 7AY, Avon, England
基金
英国工程与自然科学研究理事会;
关键词
curvature; fairing; styling; intrinsic coordinates; free-form curves;
D O I
10.1016/j.cad.2006.09.002
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Planar curves "suggested" by sequences of points are considered. A method is discussed for refining the sequence iteratively so that the fairness of the curve is improved while maintaining the basic form and features. This involves the use of intrinsic coordinates and works by smoothing the curvature plot and then integrating twice to recover the curve. Modifications are made during this process to ensure that individual subsegments run correctly between their end points and join smoothly. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:27 / 34
页数:8
相关论文
共 33 条
[1]  
Adams J. A., 1975, Computer Aided Design, V7, P243, DOI 10.1016/0010-4485(75)90069-X
[2]  
ALBAT F, 2005, MATH SURFACES, V11, P1
[3]   The generalised Cornu spiral and its application to span generation [J].
Ali, JM ;
Tookey, RM ;
Ball, JV ;
Ball, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 102 (01) :37-47
[4]   The crust and the β-skeleton:: Combinatorial curve reconstruction [J].
Amenta, N ;
Bern, M ;
Eppstein, D .
GRAPHICAL MODELS AND IMAGE PROCESSING, 1998, 60 (02) :125-135
[5]   A complementary sensor approach to reverse engineering [J].
Bradley, C ;
Chan, V .
JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING-TRANSACTIONS OF THE ASME, 2001, 123 (01) :74-82
[6]  
Burden R.L., 1981, NUMERICAL ANAL, V3rd
[7]   Curve reconstruction: Connecting dots with good reason [J].
Dey, TK ;
Mehlhorn, K ;
Ramos, EA .
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2000, 15 (04) :229-244
[8]  
ECK M, 1995, COMP SUPPL, V10, P129
[9]   CURVATURE AND THE FAIRNESS OF CURVES AND SURFACES [J].
FARIN, G ;
SAPIDIS, N .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1989, 9 (02) :52-57
[10]  
Farin Gerald E, 2002, CURVES SURFACES CAGD