Reflectors in wave equation imaging

Wave Motion

Volumn 45, Issue 6, 2008, Pages 776-784

  Natterer, Frank ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Acoustic imaging; Born approximation; Nonlinear reconstruction

Indexed keywords

ACOUSTIC IMAGING; BORN APPROXIMATION; COMPUTER SIMULATION; MIRRORS; NONLINEAR ANALYSIS;

MULTI-STATIC MEASUREMENTS; NONLINEAR RECONSTRUCTION; ZERO FREQUENCIES;

WAVE EQUATIONS;

ACOUSTIC IMAGING; BORN APPROXIMATION; COMPUTER SIMULATION; MIRRORS; NONLINEAR ANALYSIS; WAVE EQUATIONS;

BACKSCATTER; BORN APPROXIMATION; IMAGING METHOD; NUMERICAL MODEL; WAVE EQUATION; WAVE REFLECTION; WAVE VELOCITY;

EID: 44549086575     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wavemoti.2008.01.001     Document Type: Article

References (13)

1. Borup D.T., Johnson S.A., Kim W.W., and Berggren M.J. Nonperturbative diffraction tomography via Gauss-Newton iteration applied to the scattering integral equation. Ultrasonic Imaging 14 (1992) 69-85
2. Bunks C., Saleck F.M., Zalesky S., and Chavent G. Multiscale seismic waveform inversion. Geophysics 60 (1995) 1457-1473
3. Claerbout J. Fundamentals of Geophysical Data Processing (1976), McGraw-Hill, New York
4. DeHoop M. Microlocal analysis of seismic inverse scattering. In: Uhlmann G. (Ed). Inside Out (2003), Cambridge University Press, Cambridge, MA 219-296
5. A.C Kak, M. Slaney, Principles of Computerized Tomographic Imaging. IEEE Press, 1988. Reprinted as SIAM Classics in Applied Mathematics, SIAM 2001.
6. O.V. Klyubina, Asymptotic methods in ultrasound tomography. Thesis, Department of Mathematics and Computer Science, University of M/"unster, 2005.
7. Natterer F. An error bound for the Born approximation. Inverse Probl. 20 (2004) 447-452
8. F. Natterer, Ultrasound tomography with fixed linear arrays of transducers, Technical Report, Fachbereich Mathematik und Informatik, University of Muenster, Germany.
9. Natterer F., and Wübbeling F. Mathematical Methods in Image Reconstruction (2001), SIAM
10. Nolan C.J., Cheney M., Dowling T., and Gaburro R. Enhanced angular resolution from multiply scattered waves. Inverse Probl. 22 (2006) 1817-1834
11. P Palamodov V. Stability of diffraction tomography and a nonlinear "basic theorem". J. Anal. Math. 91 (2003) 247-286
12. Richter K. Clinical amplitude/velocity reconstructive imaging (CARI) - a new sonographic method for detecting breast lesions. Br. J. Radiol. 68 (1995) 375384
13. Minkoff S.E., and Symes W.W. Full waveform inversion of marine reflection data in the plane-wave domain. Geophysics 62 (1997) 540-553