Date: Wed 15 Oct
Time: 15.00
Place: Conference Room

Speaker: Prof. F. Natterer (Institut fur Numerische und instrumentelle Mathematik, Westfalische Wilhelms-Universitat, Munster)
Title: An algorithm for ultrasound tomography
Reference: Mario Bertero

Abstract. In ultrasound tomography a part of the body (typically the female breast) is exposed to sound waves at fixed spatial freqency (typically 1 MHz) from many (typically a few hundred) incidence directions. The resulting scattered waves are measured outside the body by transducer arrays. From these measurements, the distribution of sound speed and attenuation inside the body has to be computed with sub millimeter resolution. A simple mathematical model for ultrasound tomography is the Helmholtz equation with a complex valued spatially varying potential. We describe a numerical method for the solution of the corresponding inverse problem. We give examples of reconstructions of data sets obtained from computer generated breast phantoms.