"This book is well-written and contains numerous examples and figures. It is very convenient for broad readership of students and researchers in applied mathematics, computer science, physics, and engineering. Doubtless, these volumes will stimulate the applications of spline-based wavelet methods." (Manfred Tasche, zbMATH 1398.65004, 2018)
1 Introduction.- 2 Preliminaries.- Outline of the polynomial and discrete splines and SHA.- Outline of spline-based filters and filter banks.- Outline of the design of biorthogonal wavelets and multiwavelets.- Outline of the wavelet frames design and implementation.- 3 Signal/image processing applications.- Upsampling of signals/images.- Deconvolution.- Compressed sensing.- Data compression.- Acoustic classification and target detection.- Delineation of malignant skin tumors by hyperspectral imaging.
This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and image processing applications.
In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented.