title: Modified Fourier-Hankel method based on analysis of errors in Abel inversion using Fourier transform techniques.
abstract: Errors in discrete Abel inversion methods using Fourier transform techniques have been analyzed. The Fourier expansion method is very accurate but sensitive to noise. The Fourier-Hankel method has a significant systematic negative deviation, which increases with the radius; inversion error of the method can be reduced by adjusting the value of a factor. With a decrease of the factor both methods show a noise filtering property. Based on the analysis, a modified Fourier-Hankel method that is accurate, computationally efficient, and has the ability to filter noise in the inversion process is proposed for applying to experimental data.
authors: State Key Laboratory of Advanced Welding Production Technology, Harbin Institute of Technology, Harbin 150001, China. shlgma@126.com
authors: Shuiliang
authors: S
authors: Ma
authors: Hongming
authors: H
authors: Gao
authors: Lin
authors: L
authors: Wu