RT info:eu-repo/semantics/article
T1 Parametrization of aproximate algebraic surfaces by lines
A1 Pérez Díaz, Sonia
A1 Sendra Pons, Juana
A1 Sendra Pons, Juan Rafael
K1 Algebraic surfaces
K1 Approximate parametrization
K1 ϵ-points
K1 Matemáticas
K1 Mathematics
AB In this paper we present an algorithm for parametrizing approximate algebraic surfaces by lines. The algorithm is applicable to ²-irreducible algebraicsurfaces of degree d having an ²–singularity of multiplicity d−1, and therefore itgeneralizes 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 arational parametrization of V . In addition, in the error analysis we show thatthe output surface V and the input surface V are close. More precisely, we provethat V lies in the offset region of V at distance, at most, O(²12d ).
PB Elsevier
SN 0167-8396
YR 2005
FD 2005
LK http://hdl.handle.net/10017/49602
UL http://hdl.handle.net/10017/49602
LA eng
DS MINDS@UW
RD 02-abr-2023