On interpolation in the unit disk based on both radon projections and function values

Authors:
Irina Georgieva;Rumen Uluchev
Affiliations:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria;Department of Mathematics and Informatics, Todor Kableshkov HST (VTU), Sofia, Bulgaria
Venue:
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Year:
2009

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Abstract

We consider interpolation of function in two variables on the unit disk with bivariate polynomials, based on its Radon projections and function values This is closely related to surface and image reconstruction Due to the practical importance of these problems, recently a lot of mathematicians deal with interpolation and smoothing of bivariate functions with a data consisting of prescribed Radon projections or mixed type of data – Radon projections and function values Here we present some new results and numerical experiments in this field.