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Data Smoothing Effects on the Abel Inversion Method in Plasma Spectroscopy
Author(s) -
Sato M.
Publication year - 1987
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19870270208
Subject(s) - smoothing , inversion (geology) , inverse transform sampling , smoothing spline , mathematics , mathematical analysis , computational physics , algorithm , physics , optics , geology , statistics , spline interpolation , paleontology , structural basin , surface wave , bilinear interpolation
An investigation is given for the effects of smoothing on the Abel inversion method for obtaining radial intensity profiles from chordal intensity profiles. Before the radial intensities are calculated by means of the familiar inversion methods, such as by Nestor‐Olsen, Bockasten, Frie, etc., the chordal intensities with random scatterings are smoothed by easily available methods, the least‐square fitting with Taylor expansion correction and the B ‐spline fitting. Through numerical simulation tests, it is shown that this procedure of smoothing is very useful for an accurate Abel inversion without relying upon more complicated inversion methods having clever smoothing processes, e.g., by Piessens, Fleurier and Chapelle, Glasser et al., etc.