Fitting missing data by means of adaptive meshes of Bézier curves Fortes Escalona, Miguel Ángel Medina, Elena Powell–Sabin finite element Missing data Surface reconstruction Energy functional Shape-preserving Bézier curves 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. 2025-01-30T08:59:19Z 2025-01-30T08:59:19Z 2022 journal article https://hdl.handle.net/10481/101090 10.1016/j.matcom.2021.07.025 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License