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Summary: Block based deconvolution algorithm using spline wavelet
packets
Amir Averbuch1
Valery Zheludev1
Pekka Neittaanm¨aki2
Jenny Koren1
1
School of Computer Science
Tel Aviv University, Tel Aviv 69978, Israel
2
Department of Mathematical Information Technology
P.O. Box 35 (Agora), University of Jyv¨askyl¨a, Finland
June 22, 2010
Abstract
This paper presents robust algorithms to deconvolve discrete noised signals and images.
The idea behind the algorithms is to solve the convolution equation separately in different
frequency bands. This is achieved by using spline wavelet packets. The solutions are derived
as linear combinations of the wavelet packets that minimize some parameterized quadratic
functionals. Parameters choice, which is performed automatically, determines the trade-off
between the solution regularity and the initial data approximation. This technique, which id
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