Title :
Abel inversion by Kalman filtering
Author :
Hansen, Eric W. ; Law, Pheih Lan
Author_Institution :
Dartmouth College, Hanover, NH, USA
Abstract :
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.
Keywords :
Density functional theory; Educational institutions; Equations; Filtering; Geometry; Kalman filters; Least squares methods; Optical noise; Recursive estimation; State estimation;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '84.
DOI :
10.1109/ICASSP.1984.1172503
