RT info:eu-repo/semantics/article
T1 An algorithm to parametrize approximately space curves
A1 Rueda Pérez, Sonia Luisa
A1 Sendra Pons, Juana
A1 Sendra Pons, Juan Rafael
K1 Space curve
K1 Rational parametrization
K1 Hausdorff distance
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB We present an algorithm that, given a non-rational irreduciblereal space curve, satisfying certain conditions, computes a rationalparametrization of a space curve near the input one. For a giventolerance \epsilon  > 0, the algorithm checks whether a planar projectionof the given space curve is \epsilon -rational and, in the affirmativecase, generates a planar parametrization that is lifted to a spaceparametrization. This output rational space curve is of the samedegree as the input curve, both have the same structure at infinity,and the Hausdorff distance between their real parts is finite.Moreover, in the examples we check that the distance is small.
PB Elsevier B.V.
SN 0747-7171
YR 2013
FD 2013
LK http://hdl.handle.net/10017/20451
UL http://hdl.handle.net/10017/20451
LA eng
NO This is the author’sversion of a work that was accepted for publication inJournal of Symbolic Computation. Changes resulting from the publishingprocess, such as peer review, editing, corrections,structural formatting, and other quality control mechanisms may not bereflected in this document.Changes may have been made to this work since it was submitted forpublication.A definitive version was subsequently published in  Journal of SymbolicComputation vol. 56 pp. 80-106 (2013).DOI: 10.1016/j.jsc.2013.04.002
NO All authors belong to the Research Group ASYNACS (Ref. CCEE2011/R34).
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 02-may-2024