@misc{10481/99514,
year = {2019},
url = {https://hdl.handle.net/10481/99514},
abstract = {Interpolation, together with approximation, are two major and ubiquitous prob-
lems in Mathematics, but also in almost every scienti c  eld. Another inter-
esting question is the optimal knots placement when interpolating or approxi-
mating certain functions using splines. In this work, a powerful methodology is
presented for optimal knots placement when interpolating a curve, or a surface,
using cubic or bicubic splines, respectively. For this, a Multi-Objective-Genetic
Algorithm (MOGA) has been developed, in a way that ensures avoiding the
large number of local minima existing in the problem of random knots place-
ment. A new technique is presented to optimize both the number of knots and
its optimal placement for cubic or bicubic interpolating splines. The perfor-
mance of the proposed methodology has been evaluated using functions of one
and two variables, respectively.},
organization = {Departamento de Matemática Aplicada de la Universidad de Granada.},
organization = {Grupo de Investigación de la Juntas de Andalucía FQM190-Matemática Aplicada},
publisher = {Elsevier},
keywords = {Interpolation},
keywords = {knots allocation},
keywords = {Cubic/Bicubic B-splines},
title = {Optimal knots allocation in the cubic and bicubic spline interpolation problems},
doi = {https://doi.org/10.1016/j.matcom.2018.11.002},
author = {Idais, Hassan and Yasin, Mohammed and Pasadas Fernández, Miguel and González Rodelas, Pedro},
}