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E-raamat: Mathematical and Statistical Methods for Imaging

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  • Formaat: 163 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882276
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  • Formaat: 163 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882276

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This volume contains the proceedings of the NIMS Thematic Workshop on Mathematical and Statistical Methods for Imaging, which was held from August 10-13, 2010, at Inha University, Incheon, Korea. The goal of this volume is to give the reader a deep and unified understanding of the field of imaging and of the analytical and statistical tools used in imaging. It offers a good overview of the current status of the field and of directions for further research. Challenging problems are addressed from analytical, numerical, and statistical perspectives. The articles are devoted to four main areas: analytical investigation of robustness; hypothesis testing and resolution analysis, particularly for anomaly detection; new efficient imaging techniques; and the effects of anisotropy, dissipation, or attenuation in imaging.
Preface vii
Use of random matrix theory for target detection, localization, and reconstruction
1(20)
J. Garnier
Resolution limits in source localization and small inclusion imaging
21(10)
P. Garapon
Transient wave imaging of anomalies: A numerical study
31(14)
S. Gdoura
L. Guadarrama Bustos
Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data
45(16)
G. Bao
J. Lin
F. Triki
Reconstruction of the shape of an inclusion from elastic moment tensors
61(16)
M. Lim
S. Yu
Path integrals and optical tomography
77(8)
J. C. Schotland
Denoising of Bz data for conductivity reconstruction in magnetic resonance electrical impedance tomography (MREIT)
85(16)
K. Jeon
C.-O. Lee
Time reversal for inclusion detection in one dimensional randomly layered media
101(28)
D. G. Alfaro Vigo
K. Sølna
Some anisotropic viscoelastic Green functions
129(22)
E. Bretin
A. Wahab
Time reversal in attenuating acoustic media
151
H. Ammari
E. Bretin
J. Garnier
A. Wahab
Habib Ammari is at the Ecole Normale Superieure, Paris, France||Josselin Garnieris at the Universite Paris VII, France|Hyeonbae Kang is at Inha University, Incheon, Korea|Knut Solna is at University of California, Irvine, C