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Topological Computer Vision is a new research area within Topological Data Analysis on the interface between algebraic topology and computational geometry. The flagship method of persistent homology quantifies topological structures hidden in unorganized data across all scales. The talk will review recent applications to Computer Vision including auto-completion of contours, parameterless skeletonization and superpixel segmentation of images. The last work is joint with Microsoft Research Cambridge and is funded by the EPSRC Impact Acceleration Account through a Knowledge Transfer Secondment.

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