Sampling, Wavelets, and Tomography:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2004
|
| Series: | Applied and Numerical Harmonic Analysis
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XXI, 344 p) |
| ISBN: | 9780817682125 9781461264958 |
| DOI: | 10.1007/978-0-8176-8212-5 |
Staff View
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Record in the Search Index
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| indexdate | 2024-07-10T01:21:04Z |
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| isbn | 9780817682125 9781461264958 |
| language | English |
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| spelling | Benedetto, John J. Verfasser aut Sampling, Wavelets, and Tomography edited by John J. Benedetto, Ahmed I. Zayed Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XXI, 344 p) txt rdacontent c rdamedia cr rdacarrier Applied and Numerical Harmonic Analysis 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 Mathematics Computer vision Global analysis (Mathematics) Harmonic analysis Engineering mathematics Applications of Mathematics Analysis Signal, Image and Speech Processing Image Processing and Computer Vision Abstract Harmonic Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Tomografie (DE-588)4078351-0 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Abtasttheorie (DE-588)4141174-2 gnd rswk-swf Abtasttheorie (DE-588)4141174-2 s Wavelet (DE-588)4215427-3 s Tomografie (DE-588)4078351-0 s 1\p DE-604 Zayed, Ahmed I. Sonstige oth https://doi.org/10.1007/978-0-8176-8212-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Benedetto, John J. Sampling, Wavelets, and Tomography Mathematics Computer vision Global analysis (Mathematics) Harmonic analysis Engineering mathematics Applications of Mathematics Analysis Signal, Image and Speech Processing Image Processing and Computer Vision Abstract Harmonic Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Tomografie (DE-588)4078351-0 gnd Wavelet (DE-588)4215427-3 gnd Abtasttheorie (DE-588)4141174-2 gnd |
| subject_GND | (DE-588)4078351-0 (DE-588)4215427-3 (DE-588)4141174-2 |
| title | Sampling, Wavelets, and Tomography |
| title_auth | Sampling, Wavelets, and Tomography |
| title_exact_search | Sampling, Wavelets, and Tomography |
| title_full | Sampling, Wavelets, and Tomography edited by John J. Benedetto, Ahmed I. Zayed |
| title_fullStr | Sampling, Wavelets, and Tomography edited by John J. Benedetto, Ahmed I. Zayed |
| title_full_unstemmed | Sampling, Wavelets, and Tomography edited by John J. Benedetto, Ahmed I. Zayed |
| title_short | Sampling, Wavelets, and Tomography |
| title_sort | sampling wavelets and tomography |
| topic | Mathematics Computer vision Global analysis (Mathematics) Harmonic analysis Engineering mathematics Applications of Mathematics Analysis Signal, Image and Speech Processing Image Processing and Computer Vision Abstract Harmonic Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Tomografie (DE-588)4078351-0 gnd Wavelet (DE-588)4215427-3 gnd Abtasttheorie (DE-588)4141174-2 gnd |
| topic_facet | Mathematics Computer vision Global analysis (Mathematics) Harmonic analysis Engineering mathematics Applications of Mathematics Analysis Signal, Image and Speech Processing Image Processing and Computer Vision Abstract Harmonic Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Tomografie Wavelet Abtasttheorie |
| url | https://doi.org/10.1007/978-0-8176-8212-5 |
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