Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

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.

Covers important practical applications for signal/image processing Provides state-of-the-art mathematical tools Presents various methods and Matlab codes, supported by accompanying software

Inhalt

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-lter 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.