@

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}