Optimal knots allocation in the cubic and bicubic spline interpolation problems Idais, Hassan Yasin, Mohammed Pasadas Fernández, Miguel González Rodelas, Pedro Interpolation knots allocation Cubic/Bicubic B-splines 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. 2025-01-17T11:22:46Z 2025-01-17T11:22:46Z 2019 journal article https://hdl.handle.net/10481/99514 https://doi.org/10.1016/j.matcom.2018.11.002 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier