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By John J. Benedetto,Ahmed I. Zayed

Sampling, wavelets, and tomography are 3 energetic parts of up to date arithmetic sharing universal roots that lie on the center of harmonic and Fourier research. the appearance of recent concepts in mathematical research has bolstered their interdependence and ended in a few new and engaging leads to the sphere.



This state of the art booklet not just offers new leads to those learn components, however it additionally demonstrates the function of sampling in either wavelet thought and tomography. particular subject matters lined include:



* Robustness of normal Sampling in Sobolev Algebras * abnormal and Semi-Irregular Weyl-Heisenberg Frames * Adaptive abnormal Sampling in Meshfree stream Simulation * Sampling Theorems for Non-Bandlimited indications * Polynomial Matrix Factorization, Multidimensional clear out Banks, and Wavelets * Generalized body Multiresolution research of summary Hilbert areas * Sampling thought and Parallel-Beam Tomography * Thin-Plate Spline Interpolation in clinical Imaging * Filtered Back-Projection Algorithms for Spiral Cone Computed Tomography



Aimed at mathematicians, scientists, and engineers operating in sign and photo processing and scientific imaging, the paintings is designed to be available to an viewers with diversified mathematical backgrounds. even if the quantity displays the contributions of popular mathematicians and engineers, every one bankruptcy has an expository creation written for the non-specialist. one of many key good points of the e-book is an introductory bankruptcy stressing the interdependence of the 3 major parts lined. A accomplished index completes the work.



Contributors: J.J. Benedetto, N.K. Bose, P.G. Casazza, Y.C. Eldar, H.G. Feichtinger, A. Faridani, A. Iske, S. Jaffard, A. Katsevich, S. Lertrattanapanich, G. Lauritsch, B. Mair, M. Papadakis, P.P. Vaidyanathan, T. Werther, D.C. Wilson, A.I. Zayed

 

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