Download e-book for kindle: Beyond Wavelets (Studies in Computational Mathematics) by Grant Welland

By Grant Welland

ISBN-10: 0127432736

ISBN-13: 9780127432731

"Beyond Wavelets" offers cutting-edge theories, tools, algorithms, and purposes of mathematical extensions for classical wavelet research. Wavelets, brought two decades in the past by
Morlet and Grossmann and constructed very speedily through the 1980's and 1990's, has created a typical hyperlink among computational arithmetic and different disciplines of technological know-how and engineering.
Classical wavelets have supplied potent and effective mathematical instruments for time-frequency research which reinforces and replaces the Fourier approach.

However, with the present advances in technology and expertise, there's an instantaneous have to expand wavelet mathematical instruments besides. "Beyond Wavelets" offers a listing of rules and mathematical
foundations for such extensions, together with: non-stop and electronic ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are prolonged to pyramidal directional and nonuniform clear out banks. additionally, this quantity contains a
method for tomographic reconstruction utilizing a mechanical photograph version and a statistical examine for autonomous adaptive sign representation.

Investigators already accustomed to wavelet tools from components reminiscent of engineering, information, and arithmetic will gain by way of possessing this volume.

*Curvelets, Contourlets, Ridgelets,
*Digital Implementation of Ridgelet Packets
*Steerable Wavelet Packets
*Essentially Non-Oscillatory Wavelets
*Medical Imaging
*Non-Uniform filter out Banks
*Spline-wavelet frames and
*Vanishing second restoration Functions

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Beyond Wavelets (Studies in Computational Mathematics) by Grant Welland

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