Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev

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

Volume III: Selected Topics

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-92122-8
• 1st ed. 2019
• Seitenzahl: 312
• Erscheinungstermin: 9. Juli 2018
• Englisch
• Abmessung: 241mm x 160mm x 22mm
• Gewicht: 656g
• ISBN-13: 9783319921228
• ISBN-10: 3319921223
• Artikelnr.: 52436201

Inhaltsangabe

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.

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Preface.-1 Introduction: Signals and Transforms.- 2 Introduction: Digital Filters and Filter Banks.- 3 Mixed Convolutions and Zak Transforms.- 4 Non-Periodic Polynomial Splines.- 5 Quasi-Interpolating and Smoothing Local Splines.- 6 Cubic Local Splines on Non-Uniform Grid.- 7 Splines Computation by Subdivision.-
8 Polynomial Spline-Wavelets.- 9 Non-Periodic Discrete Splines.-
10 Non-Periodic Discrete-Spline Wavelets.- 11 Biorthogonal Wavelet Transforms.- 12 Biorthogonal Wavelet Transforms Originating from Splines.- 13 Data Compression Using Wavelet and Local Cosine Transforms.- 14 Wavelet Frames Generated by Perfect Reconstruction Filter Banks.- 15 Biorthogonal Multiwavelets Originated from Hermite Splines.- 16 Multiwavelet Frames Originated from Hermite Splines.- Appendix A - Guide to Spline SoftN.- Glossary.- Index.

Rezensionen

"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)