RISC RISC Research Institute for Symbolic Computation  
  • @article{RISC4655,
    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}