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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1545–1556

Nonlinear inverse scattering methods for thermal-wave slice tomography: a wavelet domain approach

Eric L. Miller, Lena Nicolaides, and Andreas Mandelis  »View Author Affiliations


JOSA A, Vol. 15, Issue 6, pp. 1545-1556 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001545


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Abstract

A wavelet domain, nonlinear inverse scattering approach is presented for imaging subsurface defects in a material sample, given observations of scattered thermal waves. Unlike methods using the Born linearization, our inversion scheme is based on the full wave-field model describing the propagation of thermal waves. Multiresolution techniques are employed to regularize and to lower the computational burden of this ill-posed imaging problem. We use newly developed wavelet-based regularization methods to resolve better the edge structures of defects relative to reconstructions obtained with smoothness-type regularizers. A nonlinear approximation to the exact forward-scattering model is introduced to simplify the inversion with little loss in accuracy. We demonstrate this approach on cross-section imaging problems by using synthetically generated scattering data from transmission and backprojection geometries.

© 1998 Optical Society of America

OCIS Codes
(100.7410) Image processing : Wavelets
(170.6960) Medical optics and biotechnology : Tomography
(290.0290) Scattering : Scattering

History
Original Manuscript: July 30, 1997
Revised Manuscript: December 22, 1997
Manuscript Accepted: January 12, 1998
Published: June 1, 1998

Citation
Eric L. Miller, Lena Nicolaides, and Andreas Mandelis, "Nonlinear inverse scattering methods for thermal-wave slice tomography: a wavelet domain approach," J. Opt. Soc. Am. A 15, 1545-1556 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-6-1545


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References

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