Rational Generalized Offsets of Rational Surfaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,012 (issn: 1024-123X, eissn: 1563-5147,

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Authors: Georgiev, Georgi Hristov(Faculty of Mathematics and Informatics, Konstantin Preslavsky University);

doi: 10.1155/2012/618148

Rational Generalized Offsets of Rational Surfaces

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Abstract

The rational surfaces and their offsets are commonly used in modeling and manufacturing. The purpose of this paper is to present relationships between rational surfaces and orientation‐preserving similarities of the Euclidean 3‐space. A notion of a similarity surface offset is introduced and applied to different constructions of rational generalized offsets of a rational surface. It is shown that every rational surface possesses a rational generalized offset. Rational generalized focal surfaces are also studied.

Related Organizations

Quest University Canada
Canada

Keywords

Computer-aided design (modeling of curves and surfaces), Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

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