Titlebook: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing; Volume I: Periodic S Amir Z. Averbuch,Pekka Neittaanmak

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Discrete Periodic Spline Wavelets and Wavelet Packets,e tools for design and implementation of wavelet and wavelet packet transforms. As in the polynomial case, all the calculations consist of fast direct and inverse Fourier transforms (FFT and IFFT, respectively) and simple arithmetic operations. Raising the splines order does not increase the computa

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Biorthogonal Wavelet Transforms Originating from Splines,g from polynomial and discrete splines. The wavelets related to those transforms are (anti)symmetric, well localized in time domain and have flat spectra. The families contain low-pass p-filters, which locally restore sampled polynomials of any degree, while the respective high-pass p-filters locall

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Wavelet Frames Generated by Spline Based p-Filter Banks,ginate from three- and four-channel perfect reconstruction periodic filter banks. The filter banks are derived from interpolating and quasi-interpolating polynomial splines and from discrete splines. Each filter bank comprises one linear phase low-pass filter (in most cases interpolating) and one hi

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Deconvolution by Regularized Matching Pursuit,ximate the solution. In addition, oblique projections of data onto dictionary elements are used instead of orthogonal projections, which are used in the conventional Matching Pursuit (MP). The slopes of the projections and the stopping rule for the algorithm are determined automatically.

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lets and frames design.Includes supplementary material: .This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and image processing applications. It is done with discrete and polynomial periodic splines. Various contributions of splines to signal a