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2013 | 11 | 4 | 609-620
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Harmonic interpolation based on Radon projections along the sides of regular polygons

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EN
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EN
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.
Twórcy
Bibliografia
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  • [10] Georgieva I., Ismail S., On recovering of a bivariate polynomial from its Radon projections, In: Constructive Theory of Functions, Varna, June 1–7, 2005, Marin Drinov Academic Publishing House, Sofia, 2006, 127–134
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Typ dokumentu
Bibliografia
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bwmeta1.element.doi-10_2478_s11533-012-0160-1
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