TY - BOOK ID - 7908886 TI - Mathematical and Statistical Methods for Multistatic Imaging AU - Ammari, Habib. AU - Garnier, Josselin. AU - Jing, Wenjia. AU - Kang, Hyeonbae. AU - Lim, Mikyoung. AU - Sølna, Knut. AU - Wang, Han. PY - 2013 SN - 3319025848 3319025856 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Engineering & Applied Sciences KW - Applied Physics KW - Mathematics. KW - Mathematical physics. KW - Mathematical Applications in the Physical Sciences. KW - Image processing KW - Mathematical statistics. KW - Mathematics KW - Statistical inference KW - Statistics, Mathematical KW - Statistics KW - Probabilities KW - Sampling (Statistics) KW - Statistical methods KW - Physical mathematics KW - Physics KW - Math KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:7908886 AB - 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 -