Mathematics Graduate Students Organization

Seminar:

Date: April 1

Ultrasound modulated optical tomography (UOT) is a relatively recent optical imaging method that attempts to improved the severe ill-posedness of reconstructions in optical tomography of soft tissue. I will explain the setup and describe a mathematical model for the problem that is based on the diffusion approximation for light propagation in optically dense media. Computational experiments with numerical phantoms and a simple reconstruction scheme lead to surprisingly good images. A partial explanation for this is provided by a stability estimate for a linearized version of the model.The talk will be mostly self-contained and only use some basic facts about PDEs.