Rational Generalized Offsets of Rational Surfaces

Georgi Hristov Georgiev

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:618148

DOI: 10.1155/2012/618148

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