**Contemporary Mathematics**

Volume: 548;
2011;
163 pp;
Softcover

MSC: Primary 35; 44; 78;

Print ISBN: 978-0-8218-5289-7

Product Code: CONM/548

List Price: $73.00

Individual Member Price: $58.40

**Electronic ISBN: 978-0-8218-8227-6
Product Code: CONM/548.E**

List Price: $73.00

Individual Member Price: $58.40

# Mathematical and Statistical Methods for Imaging

Share this page *Edited by *
*Habib Ammari; Josselin Garnier; Hyeonbae Kang; Knut Sølna*

This volume contains the proceedings of the NIMS Thematic Workshop on
Mathematical and Statistical Methods for Imaging, which was held from
August 10–13, 2010, at Inha University, Incheon, Korea.

The goal of this volume is to give the reader a deep and unified
understanding of the field of imaging and of the analytical and
statistical tools used in imaging. It offers a good overview of the
current status of the field and of directions for further research.
Challenging problems are addressed from analytical, numerical, and
statistical perspectives. The articles are devoted to four main areas:
analytical investigation of robustness; hypothesis testing and
resolution analysis, particularly for anomaly detection; new efficient
imaging techniques; and the effects of anisotropy, dissipation, or
attenuation in imaging.

#### Table of Contents

# Table of Contents

## Mathematical and Statistical Methods for Imaging

- Contents v6 free
- Preface vii8 free
- Use of random matrix theory for target detection, localization, and reconstruction 110 free
- Resolution limits in source localization and small inclusion imaging 2130
- Transient wave imaging of anomalies: A numerical study 3140
- Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data 4554
- Reconstruction of the shape of an inclusion from elastic moment tensors 6170
- Path integrals and optical tomography 7786
- Denoising of Bz data for conductivity reconstruction in magnetic resonance electrical impedance tomography (MREIT) 8594
- Time reversal for inclusion detection in one dimensional randomly layered media 101110
- Some anisotropic viscoelastic Green functions 129138
- Time reversal in attenuating acoustic media 151160

#### Readership

Graduate students and research mathematicians interested in mathematical and statistical aspects of image processing.