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Two-Dimensional Wavelets and their Relatives

$66.99 (C)

  • Date Published: June 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521065191

$ 66.99 (C)

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About the Authors
  • This book introduces 2-D wavelets via 1-D continuous wavelet transforms. The authors then describe the underlying mathematics before progressing to more advanced topics such as matrix geometry of wavelet analysis and three-dimensional wavelets. Practical applications and illustrative examples are employed extensively throughout, ensuring the book's value to engineers, physicists and mathematicians. Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular, for analysis of real-time signals in such areas as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking.

    • The first of its kind in print dealing with the two - and higher - dimensional continuous wavelet transforms, with extensive examples of applications
    • Gradual introduction of the underlying mathematical tools, with very few prerequisites, yet leading the reader to the research frontier
    • Covers both the continuous and the discrete wavelet transforms
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    Reviews & endorsements

    "This authoritative, beautiful book earns a place on any wavelets short list. Highly recommended." CHOICE

    "[The book] takes the reader on a journey starting from a heuristic approach to wavelets to the state of the art. The presentation is rigorous, yet easy to follow. I highly recommend this book to both beginners and experts." Mathematical Reviews, Ahmed I. Zayed

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    Product details

    • Date Published: June 2008
    • format: Paperback
    • isbn: 9780521065191
    • length: 480 pages
    • dimensions: 246 x 187 x 29 mm
    • weight: 0.87kg
    • contains: 134 b/w illus. 3 tables
    • availability: Available
  • Table of Contents

    1. Warm-up: the 1-D continuous wavelet transform
    2. The 2-D continuous wavelet transform
    3. Some 2-D wavelets and their performances
    4. Applications of the 2-D CWT I. Image processing
    5. Applications of the 2-D CWT II. Physical applications
    6. Matrix geometry of wavelet analysis I
    7. Matrix geometry of wavelet analysis II
    8. Minimal uncertainty and Wigner transformations
    9. Higher-dimensional wavelets
    10. Spatio-temporal wavelets and motion estimation
    11. Beyond wavelets
    Appendix 1

  • Authors

    Jean-Pierre Antoine, Université Catholique de Louvain, Belgium
    Jean-Pierre Antoine is the Professor of Mathematical Physics at the Institut de Physique Théorique, Université catholique de Louvain.

    Romain Murenzi, Clark Atlanta University, Georgia
    Romain Murenzi is currently Minister of Education, Science, Technology, and Scientific Research of the Republic of Rwanda, on leave of absence from the Department of Physics, Clark Atlanta University, Atlanta, Georgia.

    Pierre Vandergheynst, Swiss Federal Institute of Technology, Zürich
    Pierre Vandergheynst is a Professor at the Signal Processing Institute, Swiss Federal Insitute of Technology, Lausanne.

    Syed Twareque Ali, Concordia University, Montréal
    Syed Twareque Ali is a Professor at the Department of Mathematics and Statistics, Concordia University, Montréal.

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