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math.NA2010
Polyharmonic Daubechies type wavelets in Image Processing and Astronomy, II
Ognyan Kounchev, Damyan Kalaglarsky, Milcho Tsvetkov
We consider the application of the polyharmonic subdivision wavelets (of Daubechies type) to Image Processing, in particular to Astronomical Images. The results show an essential a…
math.NA2010
Polyharmonic Daubechies type wavelets in Image Processing and Astronomy, I
Ognyan Kounchev, Damyan Kalaglarsky
We introduce a new family of multivariate wavelets which are obtained by "polyharmonic subdivision". They generalize directly the original compactly supported Daubechies wavelets.
math.NA2010
Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions
Ognyan Kounchev
In the present paper we introduce the notion of harmonicity modulus and harmonicity K-functional and apply these notions to prove a Jackson type theorem for approximation of contin…