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

Description

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. Front Matter ....Pages i-xxiv Introduction: Periodic Signals and Filters (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 1-10 Periodic Polynomial Splines (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 11-20 Periodic Discrete and Discrete-Time Splines (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 21-40 Periodic Orthogonal Wavelets and Wavelet Packets (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 41-72 Two-Dimensional Orthogonal Wavelets and Wavelet Packets (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 73-82 Local Splines on Non-uniform Grid (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 83-113 Spline-Based Wavelet Transforms (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 115-132 Biorthogonal Wavelet Transforms Originating from Discrete and Discrete-Time Splines (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 133-147 Wavelet Frames Generated by Spline-Based p-Filter Banks (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 149-175 Snapshot Spectral Imaging (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 177-196 Delineation of Malignant Skin Tumors by Hyperspectral Imaging (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 197-218 Acoustic Detection of Moving Vehicles (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 219-239 Detection of Incipient Bearing Fault in a Slowly Rotating Machine Using Spline Wavelet Packets (Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev)....Pages 241-262 Back Matter ....Pages 263-287