Overview
- Fundamental contributions to multistatic imaging
- New dictionary-matching techniques for imaging
- Matlab codes for the main algorithms described in the book are provided
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2098)
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About this book
This book covers recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequencies. The waves can be acoustic, elastic or electromagnetic. They are generated by point sources on a transmitter array and measured on a receiver array. An important problem in multistatic imaging is to quantify and understand the trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution. Another fundamental problem is to have a shape representation well suited to solving target imaging problems from multistatic data.
In this book the trade-off between resolution and stability when the data are noisy is addressed. Efficient imaging algorithms are provided and their resolution and stability with respect to noise in the measurements analyzed. It also shows that high-order polarization tensors provide an accurate representation of the target. Moreover, a dictionary-matching technique based on new invariants for the generalized polarization tensors is introduced. Matlab codes for the main algorithms described in this book are provided. Numerical illustrations using these codes in order to highlight the performance and show the limitations of numerical approaches for multistatic imaging are presented.
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Table of contents (18 chapters)
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Mathematical and Probabilistic Tools
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Small Volume Expansions and Concept of Generalized Polarization Tensors
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Multistatic Configuration
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Localization and Detection Algorithms
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Dictionary Matching and Tracking Algorithms
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Imaging of Extended Targets
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical and Statistical Methods for Multistatic Imaging
Authors: Habib Ammari, Josselin Garnier, Wenjia Jing, Hyeonbae Kang, Mikyoung Lim, Knut Sølna, Han Wang
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-02585-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Softcover ISBN: 978-3-319-02584-1Published: 17 December 2013
eBook ISBN: 978-3-319-02585-8Published: 29 November 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 361
Number of Illustrations: 14 b/w illustrations, 47 illustrations in colour