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 twenty years in the past by
Morlet and Grossmann and constructed very quickly in the course of 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 powerful 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 a right away have to expand wavelet mathematical instruments to boot. "Beyond Wavelets" offers an inventory 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 filter out banks. additionally, this quantity contains a
method for tomographic reconstruction utilizing a mechanical photo version and a statistical research for self sufficient adaptive sign representation.

Investigators already acquainted with wavelet equipment from parts resembling engineering, records, and arithmetic will gain by means of possessing this volume.

*Curvelets, Contourlets, Ridgelets,
*Digital Implementation of Ridgelet Packets
*Steerable Wavelet Packets
*Essentially Non-Oscillatory Wavelets
*Medical Imaging
*Non-Uniform clear 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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