Good local behavior of offsets to rational regular algebraic surfaces

• Autores: Juan Gerardo Alcázar Arribas
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 43, Nº 12, 2008, págs. 845-857
• Idioma: inglés
• DOI: 10.1016/j.jsc.2008.04.001
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• Resumen

  • Local information on the shape of a regular surface is provided by the well-known notions in Differential Geometry of elliptic, parabolic and hyperbolic points. Here, we provide algorithms to check that, for a given distance, the offsetting process does not introduce relevant local changes in the shape of a surface, under the hypothesis that the surface is described by means of a rational, regular, real parametrization. Also, we provide algorithms for computing intervals of distances with this nice property