RT journal article
T1 Fitting missing data by means of adaptive meshes of Bézier curves
A1 Fortes, Miguel Ángel
A1 Medina Reus, Elena Blanca
A2 Matemáticas
K1 Powell-Sabin finite element
K1 missing data
K1 surface reconstruction
K1 energy functional
K1 shape-preserving
K1 B ́ezier curves
AB 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
SN 0378-4754
YR 2022
FD 2022-01
LK http://hdl.handle.net/10498/26651
UL http://hdl.handle.net/10498/26651
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026