%0 Journal Article
%A Arrondo Esteban, Enrique
%A Sendra, Juana
%A Sendra, J. Rafael
%T Parametric generalized offsets to hypersurfaces
%D 1997
%@ 0747-7171
%U https://hdl.handle.net/20.500.14352/57182
%X 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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