@techreport{RISC4397,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.},
number = {2011-12},
year = {2011},
organization = {Johannes Kepler University Linz, Austria},
institution = {DK Computational Mathematics},
length = {19}
}