Collective dynamics, control and imaging

Mathematical imaging with optical coherence tomography and photoacoustics

Otmar Scherzer

Johann Radon Institute for Computational and Applied Mathematics (RICAM)
[SLIDES]

In this talk we are discussing mathematical models describing the light propagation in Optical Coherence Tomography (OCT) and Photoacoustic Tomography (PAT) and methods for tomographical imaging. These two imaging modalities allow for visualization of biological specimens of a few millimeters. In this talk we give an overview on recent microscopic and clinical applications, discuss established mathematical models and inversion (imaging) techniques, as well as recent mathematical trends in these fields. This talk is based on joint work with W. Drexler (Medical University Vienna), P. Elbau, L. Mindrinos, J. Schmid, C. Shi (University of Vienna).