Abel inversion by Kalman filtering
Eric W. Hansen, Phaih-Lan Law · 2005
The Abel transform and its inverse appear in a wide variety of problems, where it is necessary to reconstruct an axisymmetric function from its line-integral projections. This paper is concerned with Abel inversion from noisy experimental data, and presents a recursive approach based on a state space model of the forward transform and a Kalman filter.