Small curvature particle flow for nonlinear filters

Fred Daum; Jim Huang

doi:10.1117/12.915183

15 May 2012 Small curvature particle flow for nonlinear filters

Fred Daum, Jim Huang

Proceedings Volume 8393, Signal and Data Processing of Small Targets 2012; 83930A (2012) https://doi.org/10.1117/12.915183
Event: SPIE Defense, Security, and Sensing, 2012, Baltimore, Maryland, United States

Abstract

We derive five new particle flow algorithms for nonlinear filters based on the small curvature approximation inspired by fluid dynamics. We find it extremely interesting that this physically motivated approximation generalizes two of our previous exact flow algorithms, namely incompressible flow and Gaussian flow. We derive a new algorithm to compute the inverse of the sum of two linear differential operators using a second homotopy, similar to Feynman's perturbation theory for quantum electrodynamics as well as Gromov's h-principle.

Citation Download Citation

Fred Daum and Jim Huang "Small curvature particle flow for nonlinear filters", Proc. SPIE 8393, Signal and Data Processing of Small Targets 2012, 83930A (15 May 2012); https://doi.org/10.1117/12.915183

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