LEADER 04096nam 22006135 450 001 996466648403316 005 20200704025556.0 010 $a3-319-02585-6 024 7 $a10.1007/978-3-319-02585-8 035 $a(CKB)3710000000031229 035 $a(SSID)ssj0001067661 035 $a(PQKBManifestationID)11592633 035 $a(PQKBTitleCode)TC0001067661 035 $a(PQKBWorkID)11091910 035 $a(PQKB)11616661 035 $a(DE-He213)978-3-319-02585-8 035 $a(MiAaPQ)EBC3107015 035 $a(PPN)176106359 035 $a(EXLCZ)993710000000031229 100 $a20131129d2013 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical and Statistical Methods for Multistatic Imaging$b[electronic resource] /$fby Habib Ammari, Josselin Garnier, Wenjia Jing, Hyeonbae Kang, Mikyoung Lim, Knut Sølna, Han Wang 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (XVII, 361 p. 61 illus., 47 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2098 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-02584-8 327 $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. 330 $aThis book covers recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequencies. The waves can be acoustic, elastic or electromagnetic. They are generated by point sources on a transmitter array and measured on a receiver array. An important problem in multistatic imaging is to quantify and understand the trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution. Another fundamental problem is to have a shape representation well suited to solving target imaging problems from multistatic data. In this book the trade-off between resolution and stability when the data are noisy is addressed. Efficient imaging algorithms are provided and their resolution and stability with respect to noise in the measurements analyzed. It also shows that high-order polarization tensors provide an accurate representation of the target. Moreover, a dictionary-matching technique based on new invariants for the generalized polarization tensors is introduced. Matlab codes for the main algorithms described in this book are provided. Numerical illustrations using these codes in order to highlight the performance and show the limitations of numerical approaches for multistatic imaging are presented. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2098 606 $aMathematical physics 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aMathematical physics. 615 14$aMathematical Applications in the Physical Sciences. 676 $a621.367 700 $aAmmari$b Habib$4aut$4http://id.loc.gov/vocabulary/relators/aut$0285807 702 $aGarnier$b Josselin$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aJing$b Wenjia$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKang$b Hyeonbae$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLim$b Mikyoung$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSølna$b Knut$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWang$b Han$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466648403316 996 $aMathematical and statistical methods for multistatic imaging$9258661 997 $aUNISA