%0 Journal Article
%A Pérez Díaz, Sonia
%A Sendra Pons, Juana
%A Sendra Pons, Juan Rafael
%T Parametrization of aproximate algebraic surfaces by lines
%D 2005
%@ 0167-8396
%U http://hdl.handle.net/10017/49602
%X In this paper we present an algorithm for parametrizing approximate algebraic surfaces by lines. The algorithm is applicable to ²-irreducible algebraic
surfaces of degree d having an ²–singularity of multiplicity d−1, and therefore it
generalizes the existing approximate parametrization algorithms. In particular,
given a tolerance ² > 0 and an ²-irreducible algebraic surface V of degree d,
the algorithm computes a new algebraic surface V , that is rational, as well as a
rational parametrization of V . In addition, in the error analysis we show that
the output surface V and the input surface V are close. More precisely, we prove
that V lies in the offset region of V at distance, at most, O(²
1
2d ).
%K Algebraic surfaces
%K Approximate parametrization
%K ϵ-points
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala