Fitting missing data by means of adaptive meshes of Bézier curves

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URI: http://hdl.handle.net/10498/26651

DOI: 10.1016/j.matcom.2021.07.025

ISSN: 0378-4754

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Author/s
Fortes, Miguel Ángel; Medina Reus, Elena BlancaAuthority UCA
Date
2022-01
Department
Matemáticas
Source
Mathematics and Computers in Simulation Volume 191, January 2022, Pages 33-48
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
Subjects
Powell-Sabin finite element; missing data; surface reconstruction; energy functional; shape-preserving; B ́ezier curves
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