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.

Chapter 1. Introduction: Periodic Signals and Filters.- Chapter 2. Periodic Polynomial Splines.- Chapter 3. Periodic Discrete and Discrete-time Splines.- Chapter 4. Periodic Orthogonal Wavelets and Wavelet Packets.- Chapter 5. Two-dimensional Orthogonal Wavelets and Wavelet Packets.- Chapter 6. Local Splines on Non-uniform Grid.- Chapter 7. Spline-based Wavelet Transforms.- Chapter 8. Biorthogonal Wavelet Transforms Originating from Discrete and Discrete-time Splines.- Chapter 9. Wavelet Frames Generated by Spline-based p-filter Banks.- Chapter 10. Snapshot Spectral Imaging.- Chapter 11. Delineation of Malignant Skin Tumors by Hyperspectral Imaging.- Chapter 12. Acoustic Detection of Moving Vehicles.- Chapter 13. Detection of Incipient Bearing Fault in a Slowly Rotating Machine Using Spline Wavelet Packets.

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.  

“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)​