Fitting missing data by means of adaptive meshes of Bezier 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 C-1-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. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This paper presents a method to fit missing data using C-1 quadratic patch, extending the shape and geometric features of the dataset faithfully. It utilizes a mesh of curves to gather shape information and extends it to fill the holes in the dataset. The effectiveness of the proposed method is demonstrated through numerical and graphical examples.