Euler Calculus and Topological Data Management

author: Robert Ghrist, Department of Mathematics, University of Illinois at Urbana-Champaign
published: July 30, 2009,   recorded: June 2009,   views: 7081


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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.

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