Conference on Applied Inverse Problems, July 20-24, 2009, Vienna, Austria
Invited Talk
Habib Ammari: The Method of Small-Volume Expansions in Emerging Biomedical Imaging

Fri, 24 July, 2009, 11:30-12:30, C1

Inverse problems in medical imaging are in their most general form ill-posed problems. They literally have no solution. If, however, in advance we have additional structural information or supply missing information, then we may be able to determine specific features about what we wish to image with a satisfactory resolution and accuracy. One such type of knowledge could be that the imaging problem is to find unknown small anomalies with a significantly different parameters from those of the surrounding medium. These anomalies might represent potential tumors at early stage.

Over the last few years, the method of small-volume expansions has been developed for the imaging of such anomalies.

Our aim in this talk is to provide a synthetic exposition of the method of small-volume expansions, a technique that has proven useful in many medical imaging problems. Applications of the method of small-volume expansions in medical imaging will also be described. In particular, its use to improve a multitude of emerging imaging techniques will be highlighted. These imaging modalities include electrical impedance tomography, magnetic resonance elastography, impediography, infrared thermography, photo-acoustic tmography, and acoustic radiation force imaging.

Presentation slides (pdf, 3.3 MB)

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