Titlebook: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing; Volume II: Non-Perio Amir Z. Averbuch,Pekka Neittaanmäk

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b codes supported by accompanying software.Includes suppleme.This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volu

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Introduction: Digital Filters and Filter Banks,nks is outlined. A polyphase implementation of multirate filtering is described. The application of filtering with IIR filters, whose transfer functions are rational, is described. Bases and frames in the signals’ space that are generated by perfect reconstruction filter banks are discussed. The But

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Mixed Convolutions and Zak Transforms,lynomial and discrete splines, respectively. The Zak transforms, which are introduced in the chapter, provide integral representation of signals, which, in the following chapters, serves as a tool for the design of splines and spline-wavelets and operations over them. The exponential splines, which

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Quasi-interpolating and Smoothing Local Splines,rties of the global interpolating and smoothing splines, their design does not require the IIR filtering of the whole data array. The computation of a local spline value at some point utilizes only a few adjacent grid samples. Therefore, local splines can be used for real-time processing of signals

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Cubic Local Splines on Non-uniform Grid,nterpolating splines. The splines are computed by a simple fast computational algorithms that utilizes a relation between the splines and cubic interpolation polynomials. Those splines can serve as an efficient tool for real-time signal processing. As an input, they use either clean or noised arbitr

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Polynomial Spline-Wavelets,resentation of spline-wavelets. The exponential wavelets which participate in the integral representation are counterparts of the exponential splines that were introduced in Chap. .. Fast algorithms for the wavelet transforms of splines are presented. Generators of spline-wavelet spaces are describe

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