Small curvature particle flow for nonlinear filters
Fred E. Daum, Jim Huang · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2012
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.