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001 978-3-319-02585-8
003 DE-He213
005 20150803155057.0
007 cr nn 008mamaa
008 131129s2013 gw | s |||| 0|eng d
020 _a9783319025858
_9978-3-319-02585-8
024 7 _a10.1007/978-3-319-02585-8
_2doi
050 4 _aQC19.2-20.85
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aAmmari, Habib.
_eauthor.
245 1 0 _aMathematical and Statistical Methods for Multistatic Imaging
_h[electronic resource] /
_cby Habib Ammari, Josselin Garnier, Wenjia Jing, Hyeonbae Kang, Mikyoung Lim, Knut Sølna, Han Wang.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXVII, 361 p. 61 illus., 47 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2098
505 0 _aMathematical 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.
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 _aMathematics.
650 1 4 _aMathematics.
650 2 4 _aMathematical Applications in the Physical Sciences.
700 1 _aGarnier, Josselin.
_eauthor.
700 1 _aJing, Wenjia.
_eauthor.
700 1 _aKang, Hyeonbae.
_eauthor.
700 1 _aLim, Mikyoung.
_eauthor.
700 1 _aSølna, Knut.
_eauthor.
700 1 _aWang, Han.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319025841
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2098
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02585-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c6951
_d6951