IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

An image registration framework for sliding motion with piecewise smooth deformations

  • Sept. 21, 2015
  • 1:15 p.m.
  • LeConte 312

Abstract

We present a novel variational framework for image registration with explicit modeling of sliding motion, as it occurs, e.g., in the medical context at organ boundaries. The key of our method is a piecewise smooth deformation model that allows for discontinuities at the sliding interfaces while keeping the sliding domain in contact with its surrounding. The presented approach is generic and can be used with a large class of both image similarity measures and regularizers for the deformation. A useful byproduct of the proposed method is an automatic propagation of a given segmentation from one image to the other. Existence of minimizers of the underlying variational formulation can be shown under rather mild assumptions. The numerical minimization is based on a splitting approach with alternating derivative based Gauss-Newton and fast first order convex optimization.

This is joint work with S. Heldmann, T. Polzin and A. Derksen.

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