January 25, 2017
"Perspectives on diffeomorphic image registration"
Lars Ruthotto, Ph.D.
Assistant Professor, Department of Mathematics and Computer Science
Emory University, Atlanta, GA
Refreshments will be served at 3:45 pm
All are welcome to attend
Abstract
Image registration is an essential task in almost all areas involving imaging techniques. The goal of image registration is to find geometrical correspondences between two or more images. Image registration is commonly phrased as a variational problem that is known to be ill-posed and thus regularization is commonly used to ensure existence of solutions and/or introduce prior knowledge about the application in mind. Many relevant applications, e.g., in biomedical imaging, require that plausible transformations are diffeomorphic, i.e., smooth mappings with a smooth inverse.
This talk will present and compare two modeling strategies and numerical approaches to diffeomorphic image registration and their use in biomedical imaging. First, we will discuss regularization approaches based on nonlinear elasticity. Second, we will phrase image registration as an optimal control problem involving hyperbolic PDEs which is similar to the popular framework of Large Deformation Diffeomorphic Metric Mapping (LDDMM).
Throughout the talk, methods will be illustrated using real-life medical imaging problems.