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Transport metrics in image and shape processing

Organizers:
Dirk Lorenz (Technical University Braunschweig, Germany) and Benedikt Wirth (University of Muenster, Germany)

Abstract:
During recent years the use of the Wasserstein distance and its variants have become popular in variational image processing and shape analysis. They are employed, for example, as data or delity term, as regularizer or to introduce a geometry on the space of shapes. Among their advantages, they provide a natural description of transport and material ux and are applicable to input data of low regularity such as Radon measures. Furthermore, they can be formulated in diverse ways, for instance based on ow elds or on transport plans in product spaces, and the dierent formulations have their own merit in applications. This minisymposium is aimed at bringing together experts on different versions and applications of transport-based metrics in image and shape processing in order to exchange recent successful modeling and computational approaches between the different areas.