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

Volume III: Selected Topics

  • Book
  • © 2019

Overview

Authors:
  1. Amir Z. Averbuch

    1. School of Computer Science, Tel Aviv University , Tel Aviv, Israel

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  2. Pekka Neittaanmäki

    1. Information Technology, University of Jyväskylä, Jyväskylä, Finland

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    You can also search for this author in PubMed   Google Scholar

  3. Valery A. Zheludev

    1. School of Computer Science, Tel Aviv University, Tel Aviv, Israel

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  • 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

  • 9889 Accesses

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About this book

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.  






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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxiv
    Download chapter PDF

  2. Introduction: Periodic Signals and Filters

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 1-10

  3. Periodic Polynomial Splines

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 11-20

  4. Periodic Discrete and Discrete-Time Splines

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 21-40

  5. Periodic Orthogonal Wavelets and Wavelet Packets

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 41-72

  6. Two-Dimensional Orthogonal Wavelets and Wavelet Packets

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 73-82

  7. Local Splines on Non-uniform Grid

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 83-113

  8. Spline-Based Wavelet Transforms

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 115-132

  9. Biorthogonal Wavelet Transforms Originating from Discrete and Discrete-Time Splines

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 133-147

  10. Wavelet Frames Generated by Spline-Based p-Filter Banks

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 149-175

  11. Snapshot Spectral Imaging

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 177-196

  12. Delineation of Malignant Skin Tumors by Hyperspectral Imaging

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 197-218

  13. Acoustic Detection of Moving Vehicles

    • Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
    Pages 219-239

  14. 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

  15. Back Matter

    Pages 263-287
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Reviews

“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)​

Authors and Affiliations

  • School of Computer Science, Tel Aviv University , Tel Aviv, Israel

    Amir Z. Averbuch

  • Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

  • School of Computer Science, Tel Aviv University, Tel Aviv, Israel

    Valery A. Zheludev

Bibliographic Information

  • Book Title: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

  • Book Subtitle: Volume III: Selected Topics

  • Authors: Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev

  • DOI: https://doi.org/10.1007/978-3-319-92123-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2019

  • Hardcover ISBN: 978-3-319-92122-8Published: 09 July 2018

  • Softcover ISBN: 978-3-030-06367-2Published: 04 January 2019

  • eBook ISBN: 978-3-319-92123-5Published: 19 June 2018

  • Edition Number: 1

  • Number of Pages: XXIV, 287

  • Number of Illustrations: 40 b/w illustrations, 91 illustrations in colour

  • Topics: Signal, Image and Speech Processing, Computer Imaging, Vision, Pattern Recognition and Graphics, Engineering Design, Algorithms

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