Abel inversion using total-variation regularization

DOI10.1088/0266-5611/21/6/006zbMath1094.65129OpenAlexW2014506595MaRDI QIDQ3373123

Rick Chartrand, Kevin R. Vixie, Thomas J. Asaki, Brendt Wohlberg

Publication date: 13 March 2006

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6faebbc8349211740e93ae530d8b94af3cdcd1f2

zbMATH Keywords

numerical exampleintegral equationAbel integral equationdiscrepancy principleill-posed problemfunctions of bounded variationAbel transformTikhonov type regularization

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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