Breast Ultrasound Tomography Problem: Simulation with Noisy Models

Abstract

The work is devoted to the problem of determining small sound speed fluctuations in glandular tissues for specific breast model. The speaker and his research group’s approach is based on visualization of inclusions and unknown inner boundary between fat and glandular tissues and determination of sound speeds in inclusions using kinematic argument. In this work they examine their algorithm for stability with respect to a noise in the original breast sound speed model. They use Gaussian and alpha-stable noises with different intensity.

About the speaker

Prof. Leonid Pestov received his two doctoral degrees in Mathematics from the Computing Centre of Siberian Branch of Russian Academy of Sciences in 1979 and from the Sobolev Institute of Mathematics of Russia in 2004. He is currently a Professor of Mathematics and the Head of the Laboratory at the Research Institute for Applied Informatics and Mathematical Geophysics of the Immanuel Kant Baltic Federal University.

Prof. Pestov’s research interests include inverse problems of mathematical physics, inverse problems of geometry, numerical solving of inverse problems and imaging. He authored two books on tomography problems.

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.