RT info:eu-repo/semantics/article
T1 Bounding and Estimating the Hausdorff distance between real space algebraic curves
A1 Rueda Pérez, Sonia Luisa
A1 Sendra Pons, Juana
A1 Sendra Pons, Juan Rafael
K1 Hausdor  distance
K1 Space curve
K1 Projection
K1 Implicit representation
K1 Rational parametrization
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB In this paper, given two real space algebraic curves, not necessarily bounded,whose Hausdor  distance is  nite, we provide bounds of their distance. Thesebounds are related to the distance between the projections of the space curves ontoa plane (say, z = 0), and the distance between the z-coordinates of points in theoriginal curves. Using these bounds we provide an estimation method for a boundof the Hausdor  distance between two such curves and we check in applications thatthe method is accurate and fast
PB Elsevier B.V.
SN 0167-8396
YR 2014
FD 2014
LK http://hdl.handle.net/10017/20519
UL http://hdl.handle.net/10017/20519
LA eng
NO This is the author’s version of a work that was accepted for publication in Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Rueda S.L., Sendra J., Sendra J.R., (2014). "Bounding and Estimating the Hausdorff distancebetween real space algebraic curves ". Computer Aided Geometric Design. vol 31 (2014)182-198; DOI 10.1016/j.cagd.2014.02.005
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 25-abr-2024