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

来源：

COMPUTER-AIDED DESIGN | 1999年 / 31卷 / 03期

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

页码：165 / 173

页数：9

共 49 条

[41]

RAUSCH T, 1997, MATH SURFACES, V7, P43

[42] IGB-offset for plane curves loop removal by scanning of interval sequences [J].

Rohmfeld, RF .

COMPUTER AIDED GEOMETRIC DESIGN, 1998, 15 (04) :339-375

[43]

SALMON G, 1927, TREATISE ANAL GEOMET, V1

[44] The geometry and generation of NC tool paths [J].

Sarma, R ;

Dutta, D .

JOURNAL OF MECHANICAL DESIGN, 1997, 119 (02) :253-258

[45]

Sederberg TW, 1992, MATH METHODS COMPUTE, P549

[46]

SURESH K, 1994, J ENG IND-T ASME, V116, P253, DOI 10.1115/1.2901938

[47]

Vafiadou M.-E., 1991, EUROGRAPHICS '91. Proceedings of the European Computer Graphics Conference and Exhibition, P247

[48]

WANG WJ, 1985, CHEM ADHESION, P177

[49]

WOLTER FE, 1992, 922 MIT OC ENG DES L

← 1 2 3 4 5 →