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Harmonic interpolation based on Radon projections along the sides of regular polygons

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Georgieva I., Hofreither C., Koutschan C., Pillwein V., Thanatipanonda T.

Open Mathematics

2013

tom 11

nr 4

609-620

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.

Ograniczanie wyników

1 Open Mathematics

1 Georgieva I.

1 Hofreither C.

1 Koutschan C.

1 Pillwein V.

1 Thanatipanonda T.

1 2013

Wyniki wyszukiwania

Harmonic interpolation based on Radon projections along the sides of regular polygons