An overview of offset curves and surfaces

被引:196
作者
Maekawa, T [1 ]
机构
[1] MIT, Dept Ocean Engn, Design Lab, Cambridge, MA 02139 USA
关键词
offset curves; offset surfaces; self-intersections; Pythagorean hodographs; geodesics offsets; general offsets;
D O I
10.1016/S0010-4485(99)00013-5
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A literature survey on offset curves and surfaces up to 1992 was carried out by Pham (Pham B, Offset curves and surfaces: a brief survey. Computer Aided Design 1992; 24(4): 223-229). The objective of this article is to overview the literature after 1992 and those which were not cited in aforementioned paper. The article focuses on five active areas of research on offsets: (1) representing exact offsets in Bezier/B-spline format, (2) approximations, (3) self-intersections, (4) geodesic offsets and (5) general offsets. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:165 / 173
页数:9
相关论文
共 49 条
[1]  
BRECHNER EL, 1992, GEOMETRY PROCESSING FOR DESIGN AND MANUFACTURING, P101
[2]   OFFSET SURFACE GENERATION AND CONTOURING IN COMPUTER-AIDED-DESIGN [J].
CHEN, YJ ;
RAVANI, B .
JOURNAL OF MECHANISMS TRANSMISSIONS AND AUTOMATION IN DESIGN-TRANSACTIONS OF THE ASME, 1987, 109 (01) :133-142
[3]  
Chiang C.S., 1991, P INT SOC OPTICAL EN, V1610, P76
[4]   COMPOUND SURFACE MODELING AND MACHINING [J].
CHOI, BK ;
LEE, CS ;
HWANG, JS ;
JUN, CS .
COMPUTER-AIDED DESIGN, 1988, 20 (03) :127-136
[5]  
DUTTON G, 1993, GENET ENG NEWS, V13, P1
[6]   Comparing offset curve approximation methods [J].
Elber, G ;
Lee, IK ;
Kim, MS .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1997, 17 (03) :62-71
[7]   ERROR BOUNDED VARIABLE DISTANCE OFFSET OPERATOR FOR FREE FORM CURVES AND SURFACES [J].
Elber, Gershon ;
Cohen, Elaine .
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 1991, 1 (01) :67-78
[8]  
Farouki R.T., 1994, Adv. Comput. Math, V2, P41, DOI DOI 10.1007/BF02519035
[9]   Real-time CNC interpolators for Pythagorean-hodograph curves [J].
Farouki, RT ;
Shah, S .
COMPUTER AIDED GEOMETRIC DESIGN, 1996, 13 (07) :583-600
[10]   ANALYSIS OF THE OFFSET TO A PARABOLA [J].
FAROUKI, RT ;
SEDERBERG, TW .
COMPUTER AIDED GEOMETRIC DESIGN, 1995, 12 (06) :639-645