@misc{10481/80058,
year = {2023},
url = {https://hdl.handle.net/10481/80058},
abstract = {In this paper we handle the problem of filling the hole in the graphic of a surface by means of a patch that joins the original surface with C1-smoothness and fulfills an additional non-linear geometrical constraint regarding its area or its mean curvature at some points. Furthermore, we develop a technique to estimate the optimum area that the filling patch is expected to have that will allow us to determine optimum filling patches by means of a system of linear and quadratic equations. We present several numerical and graphical examples showing the effectiveness of the proposed method.},
organization = {Funding for open access publishing: Universidad de Granada/CBUA},
organization = {National funds through the FCT - Fundação
para a Ciência e a Tecnologia},
organization = {Projects UIDB/00297/2020 and UIDP/00297/2020
(Center for Mathematics and Applications)},
publisher = {Springer Nature},
title = {Filling holes under non-linear constraints},
doi = {10.1007/s40314-023-02210-3},
author = {Custódio, Ana Luisa and Fortes Escalona, Miguel Ángel and Sajo-Castelli, A. M.},
}