000 02753nam a22003375i 4500
001 135762
003 ISI Library, Kolkata
005 20150507130233.0
008 131025s2013 nyu 000 0 eng
020 _a9783319025841 (hard cover : alk. paper)
040 _aISI Library
082 0 0 _223
_bAm518
_a000SB:621.367
100 1 _aAmmari, Habib.
245 1 0 _aMathematical and statistical methods for multistatic imaging /
_cHabib Ammari...[et al.].
260 _aNew York :
_bSpringer,
_c2013.
300 _axvii, 361 p. ;
_billustrations (some color).
490 0 _aLecture notes in mathematics ;
_v2098
504 _aIncludes bibliographical references and index.
505 8 _aPart 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.
520 _aThis 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.
650 0 _aMathematical statistics.
650 0 _aImage processing
_xMathematics.
650 0 _aMathematics.
700 1 _aGarnier, Josselin.
700 1 _aJing, Wenjia.
700 1 _aKang, Hyeonbae.
700 1 _aLim, Mikyoung.
700 1 _aSolna, Knut.
700 1 _aWang, Han.
942 _2ddc
_cBK
999 _c418736
_d418736