author = {Irina Georgieva and Clemens Hofreither and Christoph Koutschan and Veronika Pillwein and Thotsaporn Thanatipanonda},
title = {{Harmonic interpolation based on Radon projections along the sides of regular polygons}},
language = {english},
abstract = {Given information about a harmonic function in two variables, consisting of a finite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented.},
journal = {Central European Journal of Mathematics},
volume = {11},
number = {4},
pages = {609--620},
isbn_issn = {ISSN 1895-1074},
year = {2013},
refereed = {yes},
length = {12}