Workshop Schedule

Inverse problems arise in practical situations such as medical imaging, exploration geophysics, and non-destructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. In the last couple of decades there have been substantial developments in the mathematical theory of inverse problems. The purpose of the workshop will be to bring together people working on different aspects of inverse problems, to appraise the current status of development of the field, and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.
Some of the more specific topics of the workhops will include:

1) The advances in engineering and image processing mathematics which have allowed for significant enhancement of widely used imaging techniques like X-ray tomography, magnetic resonance imaging, single photon emission tomography, positron emission tomography, ultrasound etc.

2) The new emerging areas in inverse boundary problems of Optical Tomography and Diffuse Tomography, which are based on boundary measurements of near-infrared light transmitted through a body, and Electrical Impedance Tomography which uses low-frequency electrical currents to probe a body.

3) The recent progress in understanding migration problems for elastic waves in an anisotropic medium.

4) New numerical inversion algorithms, particularly in the inverse scattering problem by an obstacle.

5) Time reversal imaging.

6) Elasticity imaging of biological tissue.

The following is a partial list of invited speakers:

S. Arridge, G. Bao, C. Bardos, R. Brown, E. Candes, M. Cheney, D. Colton, M. de Hoop, D. Dobson, O. Dorn, H. Engl, G. Eskin, D. Finch, J. Greenleaf, F.A. Grunbaum, G. Hermann, D. Isaacson, M. Klibanov, M. Lassas, J. McLaughlin, A. Melin, A. Nachman, F. Natterer, C. Nolan, V. Palomodov, S. Patch, R. Potthast, W. Rundell, F. Santosa, J. Schotland, J.A. Sethian, P. Stefanov, W. Symes, D. Tataru, A. Vasy, V. Venugopalan, R. Weder and M. Zworski.

On November 13, there will be a concentration on optical tomography.

On November 15 and 16 there will be a concentration on imaging and time reversal in random media. The invited speakers will include G. Bal, J. Berryman, L. Borcea, L. Carin, D. Chambers, J.P. Fouque, M. Fink, A. Larraza, G. Papanicolaou, L. Ryzhik, K. Solna, C. Tsogka and H. Zhao.



Group photo of participants

Funding

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