Block Based Deconvolution Algorithm Using Spline Wavelet Packets

This paper proposes robust algorithms to deconvolve discrete noised signals and images. The solutions are derived as linear combinations of spline wavelet packets that minimize some parameterized quadratic functionals. Parameters choice, which is performed automatically, determines the trade-off between the regularity of the solution and the approximation of the initial data. The technique, which is called Spline Harmonic Analysis, provides a unified computational scheme for design of orthonormal spline wavelet packets, fast implementation of the algorithm and an explicit representation of the solutions. The presented algorithm provides stable solutions that approximates the original objects with high accuracy.

• Type: Journal
• Year: 2010
• Where: JMIV
• Authors: Amir Averbuch, Valery A. Zheludev, Pekka Neittaanmäki, Jenny Koren
• Keywords: JMIV 2010, Parameterized Quadratic Functionals, Solutions, Spline Wavelet Packets