Sampling, wavelets, and tomography are three active areas of
contemporary mathematics sharing common roots that lie at the heart
of harmonic and Fourier analysis. The advent of new techniques in
mathematical analysis has strengthened their interdependence and
led to some new and interesting results in the field.
This state-of-the-art book not only presents new results in
these research areas, but it also demonstrates the role of sampling
in both wavelet theory and tomography. Specific topics covered
include:
* Robustness of Regular Sampling in Sobolev Algebras
* Irregular and Semi-Irregular Weyl-Heisenberg Frames
* Adaptive Irregular Sampling in Meshfree Flow Simulation
* Sampling Theorems for Non-Bandlimited Signals
* Polynomial Matrix Factorization, Multidimensional Filter
Banks, and Wavelets
* Generalized Frame Multiresolution Analysis of Abstract Hilbert
Spaces
* Sampling Theory and Parallel-Beam Tomography
* Thin-Plate Spline Interpolation in Medical Imaging
* Filtered Back-Projection Algorithms for Spiral Cone Computed
Tomography
Aimed at mathematicians, scientists, and engineers working in
signal and image processing and medical imaging, the work is
designed to be accessible to an audience with diverse mathematical
backgrounds. Although the volume reflects the contributions of
renowned mathematicians and engineers, each chapter has an
expository introduction written for the non-specialist. One of the
key features of the book is an introductory chapter stressing the
interdependence of the three main areas covered. A comprehensive
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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