%0 Journal Article 
%A Fortes, Miguel Ángel
%A Medina Reus, Elena Blanca
%T Fitting missing data by means of adaptive meshes of Bézier curves
%D 2022
%@ 0378-4754
%U http://hdl.handle.net/10498/26651
%X 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
%K Powell-Sabin finite element
%K missing data
%K surface reconstruction
%K energy functional
%K shape-preserving
%K B ́ezier curves
%~ Universidad de Cádiz