Euler Calculus and Topological Data Management
Jul 30, 2009 7225 views 
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This talk covers the basic of an integral calculus based on Euler characteristic, and its utility in data problems, particularly in aggregation of redundant data and inverse problems over networks. This calculus is a blend of integral-geometric and sheaf theoretic techniques, and leads to surprisingly practical algorithms and computations. Qualitative versions of integral transforms for signal processing will be stressed.