Mathematical and Statistical Methods for Multistatic Imaging / by Habib Ammari, Josselin Garnier, Wenjia Jing, Hyeonbae Kang, Mikyoung Lim, Knut Sølna, Han Wang.

Format:

Book

Author/Creator:

Ammari, Habib, author.

Garnier, Josselin, author.

Jing, Wenjia, 1984- author.

Kang, Hyeonbae, author.

Lim, Mikyoung, author.

Solna, Knut, author.

Wang, Han (Mathematician), author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2098.

Lecture Notes in Mathematics, 0075-8434 ; 2098

Language:

English

Subjects (All):

Mathematics.

Mathematical physics.

Mathematical Applications in the Physical Sciences.

Local Subjects:

Mathematics.

Mathematical Applications in the Physical Sciences.

Physical Description:

1 online resource (XVII, 361 pages 61 illustrations, 47 illustrations in color).

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2013.

System Details:

text file PDF

Summary:

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.

Contents:

Mathematical and Probabilistic Tools

Small Volume Expansions and Concept of Generalized Polarization Tensors

Multistatic Configuration

Localization and Detection Algorithms

Dictionary Matching and Tracking Algorithms

Imaging of Extended Targets

Invisibility

Numerical Implementations and Results

References

Index.

Other Format:

Printed edition:

ISBN:

9783319025858

Access Restriction:

Restricted for use by site license.