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J Math Imaging Vis (2010) 38: 197225 DOI 10.1007/s10851-010-0224-4

Summary: J Math Imaging Vis (2010) 38: 197­225
DOI 10.1007/s10851-010-0224-4
Block Based Deconvolution Algorithm Using Spline Wavelet
Amir Averbuch · Valery Zheludev ·
Pekka Neittaanmäki · Jenny Koren
Published online: 3 September 2010
© Springer Science+Business Media, LLC 2010
Abstract This paper presents robust algorithms to decon-
volve discrete noised signals and images. The idea behind
the algorithms is to solve the convolution equation sepa-
rately 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 pa-
rameterized quadratic functionals. Parameters choice, which
is performed automatically, determines the trade-off be-
tween the solution regularity and the initial data approxi-
mation. This technique, which id called Spline Harmonic
Analysis, provides a unified computational scheme for the
design of orthonormal spline wavelet packets, fast imple-


Source: Averbuch, Amir - School of Computer Science, Tel Aviv University


Collections: Computer Technologies and Information Sciences