@misc{10481/77312,
year = {2023},
month = {3},
url = {https://hdl.handle.net/10481/77312},
abstract = {Given a dataset of 3D points in which there is a hole, i.e., a region with a lack of information, we develop a method providing a surface that fits the dataset and fills the hole. The filling patch is required to fulfill a prescribed volume condition. The fitting–filling function consists of a radial basis functions that minimizes an energy functional involving both, the fitting of the dataset and the volume constraint of the filling patch, as well as the fairness of the function. We give a convergence result and we present some graphical and numerical examples.},
organization = {FEDER/Junta de Andalucía-Consejería de Transformación Económica, Industria, Conocimiento y Universidades (Research Project A-FQM-76-UGR20, University of Granada)},
organization = {Junta de Andalucía (Research Groups FQM-191 and TEP-190)},
organization = {Funding for open access charge: Universidad de Granada / CBUA},
publisher = {Elsevier},
keywords = {Radial basis functions},
keywords = {Spline approximation},
keywords = {Hole filling},
keywords = {Smoothing surface},
keywords = {Volume constraints},
title = {Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension},
doi = {https://doi.org/10.1016/j.cam.2022.114841},
author = {González Rodelas, Pedro and Fortes Escalona, Miguel Ángel and Pasadas Fernández, Miguel and Palomares Bautista, Antonio Francisco},
}