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Two-Dimensional Wavelets and their Relatives [Hardcover]

Jean-Pierre Antoine (Author), Romain Murenzi (Author), Pierre Vandergheynst (Author), Syed Twareque Ali (Author)


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Book Description

0521624061 978-0521624060 November 1, 2004
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.

Editorial Reviews

Review

"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

Book Description

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

Product Details

  • Hardcover: 476 pages
  • Publisher: Cambridge University Press (November 1, 2004)
  • Language: English
  • ISBN-10: 0521624061
  • ISBN-13: 978-0521624060
  • Product Dimensions: 10.1 x 6.9 x 1.1 inches
  • Shipping Weight: 2.4 pounds
  • Amazon Best Sellers Rank: #3,817,044 in Books (See Top 100 in Books)

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Inside This Book (learn more)
First Sentence:
Wavelet analysis is a particular time- or space-scale representation of signals that has found a wide range of applications in physics, signal processing and applied mathematics in the last few years. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spherical wavelet transform, continuous wavelet packets, directional wavelets, partial energy densities, open free orbit, isotropic wavelet, astrophysical images, similitude group, ridgelet transform, different mother wavelets, spatial frequency space, anisotropy matrix, real wavelet, pointwise analysis, low resolution approximation, inverse stereographic projection, difference wavelet, steerable filters, hat wavelet, angular selectivity, signal symmetries, coadjoint action, reconstruction formula, finite energy signals, pyramidal algorithm
Key Phrases - Capitalized Phrases (CAPs): (learn more)
North Pole, Matching Pursuit, Taking Fourier, South Pole
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