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An overview of offset curves and surfaces

Authors
Publisher
Elsevier Ltd
Publication Date
Volume
31
Issue
3
Identifiers
DOI: 10.1016/s0010-4485(99)00013-5
Keywords
  • Offset Curves
  • Offset Surfaces
  • Self-Intersections
  • Pythagorean Hodographs
  • Geodesics Offsets
  • General Offsets
Disciplines
  • Earth Science

Abstract

Abstract 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 B e ́ zier/ B-spline format, (2) approximations, (3) self-intersections, (4) geodesic offsets and (5) general offsets.

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