Joint Methods in Shape Matching and Motion Extraction

Tuesday, April 4, 2006 - 1:30pm - 2:30pm
EE/CS 3-180
Martin Rumpf (Rheinische Friedrich-Wilhelms-Universität Bonn)
Variational methods are presented which allow to correlate pairs of
implicit shapes in 2D and 3D images, to morph pairs of explicit
surfaces, or
to analyse motion pattern in movies.
A particular focus is on joint methods.
Indeed, fundamental tasks in image processing are highly interdependent:
Registration of image morphology significantly benefits from previous
denoising and structure segmentation.
On the other hand, combined information of different image modalities
makes shape
segmentation significantly more robust.
Furthermore, robustness in motion extraction of shapes can be
significantly enhanced
via a coupling with the detection of edge surfaces in space time and a
feature sensitive space time smoothing.

The methods are based on a splitting of image morphology
into a singular part consisting of the edge geometry and a regular part
represented by the field of normals on the ensemble of level sets.
Mumford-Shah type free discontinuity problems are applied to treat the
morphology both in image matching and in motion extraction.
For the discretization a multi scale finite element approach
is considered. It is based on a phase field approximation of the free
discontinuity problems
and leads to effective and efficient algorithms. Numerical
experiments underline the robustness of the presented approaches.
MSC Code: