San Francisco, California
London, United Kingdom
During the week 20-24th April 2015, ICMS will host a workshop on Gradient flows: from theory to application. The workshop will bring experts from analysis, numerics and relevant applications together. On Wednesday 22nd April, 6pm there will be a public lecture by Martin Burger, University of Münster
Strange gradient flows: The structure of images and novel opportunities in biomedical imaging
Gradient flow models appear naturally in many real systems which try to decrease energy (or increase entropy at fixed energy) over time. The mathematical structure of these models can be of use in many other problems. In particular, digital imaging has benefited greatly by applying these ideas. I will discuss the developments at a general and visual level.
A particular focus will be on imaging with sharp edges - very important for human perception - and its consequences on the mathematics. Indeed, appropriate modelling leads to a class of very strange gradient flows with unusual dynamics. With those strange flows major improvements can be made to many imaging tasks . As a particularly relevant example I will show how measurement times in medical imaging can be dramatically reduced without significant lost of quality. Moreover, I will discuss a more fundamental question about images, namely decomposing them into their main ingredients just as human vision would do.
Martin Burger is Professor for Applied Mathematics at Westfälische Wilhelms-Universität Münster. His research interests include Imaging and Inverse Problems, Modelling and Simulation in Biomedicine and Nonlinear PDEs in Biology and Socio-Economics.
Doors Open at 5.30pm