Document Type
Conference Proceeding
Conference
Annual Review of Progress in Quantitative Nondestructive Evaluation
Publication Version
Published Version
Publication Date
2015
Journal or Book Title
AIP Conference Proceedings
Volume
1650
First Page
1707
Last Page
1716
DOI
10.1063/1.4914792
Conference Title
41st Annual Review of Progress in Quantitative Nondestructive Evaluation
Conference Date
July 20-25, 2014
City
Boise, ID
Abstract
We develop a sparse image reconstruction method for polychromatic computed tomography(CT) measurements under the blind scenario where the material of the inspected object and the incident energy spectrum are unknown. To obtain a parsimonious measurement model parameterization, we first rewrite the measurement equation using our mass-attenuation parameterization, which has the Laplace integral form. The unknown mass-attenuationspectrum is expanded into basis functions using a B-spline basis of order one. We develop a block coordinate-descent algorithm for constrained minimization of a penalized negative log-likelihood function, where constraints and penalty terms ensure nonnegativity of the spline coefficients and sparsity of the density map image in the wavelet domain. This algorithm alternates between a Nesterov’s proximal-gradient step for estimating the density map image and an active-set step for estimating the incident spectrum parameters. Numerical simulations demonstrate the performance of the proposed scheme.
Rights
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Copyright Owner
AIP Publishing LLC
Copyright Date
2015
Language
en
File Format
application/pdf
Recommended Citation
Gu, Renliang and Dogandžić, Aleksandar, "Polychromatic Sparse Image Reconstruction and Mass Attenuation Spectrum Estimation via B-spline Basis Function Expansion" (2015). Electrical and Computer Engineering Conference Papers, Posters and Presentations. 6.
https://lib.dr.iastate.edu/ece_conf/6
Comments
The following article appeared in AIP Conference Proceedings 1650 (2015): 1707, doi:10.1063/1.4914792 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4914792.