Infimal convolution of Total Generalized Variation functionals for spatio-temporal regularization of image sequences

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• Martin Holler (University of Graz)
• Wednesday 11 March 2015, 16:00-17:00
• MR14, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Davide Piazzoli.

Variational methods for image processing heavily rely on appropriate regularization functionals. While this topic is well investigated in the still image context, the question of suitable regularization for image sequences is still quite open, but not less important. In this talk, we present a new approach for spatio-temporal regularization of image sequences. When considering for instance the spatio-temporal Total Variation (TV) or Total Generalized Variation (TGV) functional, the scale of space with respect to time is not given a-priori and in fact defines a trade-off between spatial and temporal regularization. This can be exploited to further improve reconstruction quality by optimally balancing between two different scales via the infimal convolution of such functionals (ICTGV). We present the analysis of the resulting regularization term and its application for dynamic MRI reconstruction and the artifact-free decompression of MPEG compressed videos.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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