TY - BOOK AU - Ammari,Habib AU - Garnier,Josselin AU - Jing,Wenjia AU - Kang,Hyeonbae AU - Lim,Mikyoung AU - Solna,Knut AU - Wang,Han TI - Mathematical and statistical methods for multistatic imaging T2 - Lecture notes in mathematics SN - 9783319025841 (hard cover : alk. paper) U1 - 000SB:621.367 23 PY - 2013/// CY - New York PB - Springer KW - Mathematical statistics. KW - Image processing KW - Mathematics. N1 - Includes bibliographical references and index; Part I Mathematical and Probabilistic Tools -- Part II Small Volume Expansions and Concept of Generalized Polarization Tensors -- Part III Multistatic Configuration -- Part IV Localization and Detection Algorithms -- Part V Dictionary Matching and Tracking Algorithms -- Part Vi Imaging of Extended Targets -- Part VII Invisibility -- Part VIII Numerical Implementations and Results-- References-- Index N2 - 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 ER -