@misc{10481/101090,
year = {2022},
url = {https://hdl.handle.net/10481/101090},
abstract = {In this paper we present a method to fit missing data – i.e., to fit a dataset containing a region in which no data are provided– by means of a C1-quadratic patch. Such a patch is constructed to faithfully extend the shape and the geometric features of the dataset. To this end, a mesh of curves gathering the information about the shape of the dataset will be considered and extended to the interior of the hole. Next, a (unique) patch fitting such a mesh of curves will be computed. Several numerical and graphical examples showing the effectiveness of the proposed method are provided.},
keywords = {Powell–Sabin finite element},
keywords = {Missing data},
keywords = {Surface reconstruction},
keywords = {Energy functional},
keywords = {Shape-preserving},
keywords = {Bézier curves},
title = {Fitting missing data by means of adaptive meshes of Bézier curves},
doi = {10.1016/j.matcom.2021.07.025},
author = {Fortes Escalona, Miguel Ángel and Medina, Elena},
}