Surface Reconstruction and Lagrange Basis Polynomials

Authors:
Irina Georgieva;Rumen Uluchev
Affiliations:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria 1113;Department of Mathematics and Informatics, University of Transport, Sofia, Bulgaria 1574
Venue:
Large-Scale Scientific Computing
Year:
2009

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Abstract

Surface reconstruction, based on line integrals along segments of the unit disk is studied. Various methods concerning with this problem are known. We consider here interpolation over regular schemes of chords by polynomials. We find the interpolant in Lagrange form and investigate some properties of Lagrange basis polynomials. Numerical experiments for both surface and image reconstruction are presented.