Fitting missing data by means of adaptive meshes of Bézier curves

M.A. Fortes and E. Medina

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 191, issue C, 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.

Keywords: Powell–Sabin finite element; Missing data; Surface reconstruction; Energy functional; Shape-preserving; Bézier curves (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:191:y:2022:i:c:p:33-48

DOI: 10.1016/j.matcom.2021.07.025

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