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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Wavelets - Tools for Science and Technology (Hardcover, 2 Rev Ed)
Loot Price: R1,662
Discovery Miles 16 620
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Wavelets - Tools for Science and Technology (Hardcover, 2 Rev Ed)
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This long-awaited update of Meyer's Wavelets: Algorithms &
Applications includes completely new chapters on four topics:
wavelets and the study of turbulence, wavelets and fractals (which
includes an analysis of Riemann's nondifferentiable function), data
compression, and wavelets in astronomy. The chapter on data
compression was the original motivation for this revised edition,
and it contains up-to-date information on the interplay between
wavelets and nonlinear approximation. The other chapters have been
rewritten with comments, references, historical notes, and new
material. Four appendices have been added: a primer on filters, key
results (with proofs) about the wavelet transform, a complete
discussion of a counterexample to the Marr-Mallat conjecture on
zero-crossings, and a brief introduction to Holder and Besov
spaces. In addition, all of the figures have been redrawn, and the
references have been expanded to a comprehensive list of over 260
entries. The book includes several new results that have not
appeared elsewhere. Wavelet analysis-an exciting theory at the
intersection of the frontiers of mathematics, science, and
technology-is a unifying concept that interprets a large body of
scientific research. In addition to its intrinsic mathematical
interest, its applications have serious economic implications in
the areas of signal and image compression. For these expanding
fields, this book provides a clear set of concepts, methods, and
algorithms adapted to a variety of applications ranging from the
transmission of images on the Internet to theoretical studies in
physics. The use of wavelet-based algorithms adopted by the FBI for
fingerprint compression and by the Joint Photographic Experts Group
for the new JPEG-2000 compression standard confirms the success of
this theory. The authors present with equal skill and clarity the
mathematical background and major wavelet applications, including
the study of turbulence, fractal objects, and the structure of the
universe. Never before have the historic origins, the algorithms,
and the applications of wavelets been discussed in such scope,
providing a unifying presentation accessible to scientists and
engineers across all disciplines and levels of training. Written
specifically for scientists and engineers with diverse backgrounds,
the material is presented in a manner that will appeal to both
experts and nonexperts alike. This book is a valuable tool for
anyone (from graduate student to expert) faced with signal or image
processing problems. It also answers the question, "What are
wavelets?" The first seven chapters trace the historical origins of
wavelet theory and describe the different time-scale and
time-frequency algorithms used today under the term "wavelets."
Specific examples include the application of wavelet techniques to
FBI fingerprint compression problems and the use of wavelets in the
new JPEG standard for still image compression. Applying wavelet
analysis methods to signal and image processing, fractals,
turbulence, and astronomy is covered in the balance.
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