Two-Dimensional Wavelets and their Relatives

Antoine, Jean-Pierre;Murenzi, Romain;Vandergheynst, Pierre;Ali, S. Twareque
(2004) ISBN: [0-521-62406-1], 476 pages, published

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Authors
  • Antoine, Jean-Pierreorcid-logoUCLouvain
    Author
  • Murenzi, RomainUCLouvain
    Author
  • Vandergheynst, PierreUCLouvain
    Author
  • Ali, S. Twareque
    Author
Abstract
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms when processing rapidly varying functions and signals. In particular, they offer benefits for real-time applications such as 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 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.
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Antoine, J.-P., Murenzi, R., Vandergheynst, P., & Ali, S. T. (2004). Two-Dimensional Wavelets and their Relatives. Cambridge University Press. https://hdl.handle.net/2078.5/25351