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Parametric Generalized Offsets to Hypersurfaces

โœ Scribed by ENRIQUE ARRONDO; JUANA SENDRA; RAFAEL J. SENDRA

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
754 KB
Volume
23
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

In this paper we extend the classical notion of offset to the concept of generalized offset to hypersurfaces. In addition, we present a complete theoretical analysis of the rationality and unirationality of generalized offsets. Characterizations for deciding whether the generalized offset to a hypersurface is parametric or it has two parametric components are given. As an application, an algorithm to analyse the rationality of the components of the generalized offset to a plane curve or to a surface, and to compute rational parametrizations of its rational components, is outlined.

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