Total variation-based neutron computed tomography

Barnard, Richard C.; Bilheux, Hassina Z.; Toops, Todd J.; Nafziger, Eric J.; Finney, Charles E.; Splitter, Derek A.; Archibald, Rick K.

doi:10.1063/1.5037341

Title: Total variation-based neutron computed tomography

Journal Article · Wed May 09 00:00:00 EDT 2018 · Review of Scientific Instruments

DOI:https://doi.org/10.1063/1.5037341· OSTI ID:1461942

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Chemical and Engineering Materials Division
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Fuels, Engines and Emissions Research Center

We perform the neutron computed tomography reconstruction problem via an inverse problem formulation with a total variation penalty. In the case of highly under-resolved angular measurements, the total variation penalty suppresses high-frequency artifacts which appear in filtered back projections. Here, in order to efficiently compute solutions for this problem, we implement a variation of the split Bregman algorithm; due to the error-forgetting nature of the algorithm, the computational cost of updating can be significantly reduced via very inexact approximate linear solvers. We present the effectiveness of the algorithm in the significantly low-angular sampling case using synthetic test problems as well as data obtained from a high flux neutron source. Finally, the algorithm removes artifacts and can even roughly capture small features when an extremely low number of angles are used.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1461942

Alternate ID(s):: OSTI ID: 1436547

Journal Information:: Review of Scientific Instruments, Vol. 89, Issue 5; ISSN 0034-6748

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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References (39)

Sparse-view neutron-photon computed tomography: Object reconstruction and material discrimination Pour Yazdanpanah, Ali; Hartman, Jessica; Regentova, Emma Applied Radiation and Isotopes, Vol. 132 https://doi.org/10.1016/j.apradiso.2017.11.029	journal	February 2018
Image Reconstruction from Fourier Data Using Sparsity of Edges Wasserman, Gabriel; Archibald, Rick; Gelb, Anne Journal of Scientific Computing, Vol. 65, Issue 2 https://doi.org/10.1007/s10915-014-9973-3	journal	December 2014
Decoding by Linear Programming Candes, E. J.; Tao, T. IEEE Transactions on Information Theory, Vol. 51, Issue 12 https://doi.org/10.1109/tit.2005.858979	journal	December 2005
Iterative Reconstruction Technique for Reducing Body Radiation Dose at CT: Feasibility Study Hara, Amy K.; Paden, Robert G.; Silva, Alvin C. American Journal of Roentgenology, Vol. 193, Issue 3 https://doi.org/10.2214/ajr.09.2397	journal	September 2009
Image reconstruction from a small number of projections Herman, G. T.; Davidi, R. Inverse Problems, Vol. 24, Issue 4 https://doi.org/10.1088/0266-5611/24/4/045011	journal	June 2008
Signal recovery from random projections Candes, Emmanuel J.; Romberg, Justin K. Electronic Imaging 2005, SPIE Proceedings https://doi.org/10.1117/12.600722	conference	March 2005
scikit-image: image processing in Python van der Walt, Stéfan; Schönberger, Johannes L.; Nunez-Iglesias, Juan PeerJ, Vol. 2 https://doi.org/10.7717/peerj.453	journal	January 2014
Error Forgetting of Bregman Iteration Yin, Wotao; Osher, Stanley Journal of Scientific Computing, Vol. 54, Issue 2-3 https://doi.org/10.1007/s10915-012-9616-5	journal	June 2012
Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images Archibald, Rick; Gelb, Anne; Yoon, Jungho SIAM Journal on Numerical Analysis, Vol. 43, Issue 1 https://doi.org/10.1137/s0036142903435259	journal	January 2005
Imaging of the Li spatial distribution within V2O5 cathode in a coin cell by neutron computed tomography Zhang, Yuxuan; Chandran, K. S. Ravi; Bilheux, Hassina Z. Journal of Power Sources, Vol. 376 https://doi.org/10.1016/j.jpowsour.2017.11.080	journal	February 2018
The Split Bregman Method for L1-Regularized Problems Goldstein, Tom; Osher, Stanley SIAM Journal on Imaging Sciences, Vol. 2, Issue 2 https://doi.org/10.1137/080725891	journal	January 2009
Sparse-view neutron CT reconstruction of irradiated fuel assembly using total variation minimization with Poisson statistics Abir, Muhammad; Islam, Fahima; Wachs, Daniel Journal of Radioanalytical and Nuclear Chemistry, Vol. 307, Issue 3 https://doi.org/10.1007/s10967-015-4542-2	journal	October 2015
Sparse MRI: The application of compressed sensing for rapid MR imaging Lustig, Michael; Donoho, David; Pauly, John M. Magnetic Resonance in Medicine, Vol. 58, Issue 6 https://doi.org/10.1002/mrm.21391	journal	January 2007
Model-based Iterative Reconstruction: A Promising Algorithm for Today's Computed Tomography Imaging Liu, Lu Journal of Medical Imaging and Radiation Sciences, Vol. 45, Issue 2 https://doi.org/10.1016/j.jmir.2014.02.002	journal	June 2014
Azimuthally anisotropic hydride lens structures in Zircaloy 4 nuclear fuel cladding: High-resolution neutron radiography imaging and BISON finite element analysis Lin, Jun-Li; Zhong, Weicheng; Bilheux, Hassina Z. Journal of Nuclear Materials, Vol. 496 https://doi.org/10.1016/j.jnucmat.2017.09.025	journal	December 2017
Octopus, a fast and user-friendly tomographic reconstruction package developed in LabView® Dierick, M.; Masschaele, B.; Hoorebeke, L. Van Measurement Science and Technology, Vol. 15, Issue 7 https://doi.org/10.1088/0957-0233/15/7/020	journal	June 2004
Calculation of the rotational centers in computed tomography sinograms Azevedo, S. G.; Schneberk, D. J.; Fitch, J. P. IEEE Transactions on Nuclear Science, Vol. 37, Issue 4 https://doi.org/10.1109/23.55866	journal	January 1990
Signal Recovery and the Large Sieve Donoho, D. L.; Logan, B. F. SIAM Journal on Applied Mathematics, Vol. 52, Issue 2 https://doi.org/10.1137/0152031	journal	April 1992
State of the Art: Iterative CT Reconstruction Techniques Geyer, Lucas L.; Schoepf, U. Joseph; Meinel, Felix G. Radiology, Vol. 276, Issue 2 https://doi.org/10.1148/radiol.2015132766	journal	August 2015
Using spray momentum flux measurements to understand the influence of diesel nozzle geometry on spray characteristics Payri, R.; Garcia, J.; Salvador, F. Fuel, Vol. 84, Issue 5 https://doi.org/10.1016/j.fuel.2004.10.009	journal	March 2005
Quantifying root water extraction after drought recovery using sub-mm in situ empirical data Dhiman, Indu; Bilheux, Hassina; DeCarlo, Keito Plant and Soil, Vol. 424, Issue 1-2 https://doi.org/10.1007/s11104-017-3408-5	journal	September 2017
Determination of optimal imaging parameters for the reconstruction of a nuclear fuel assembly using limited angle neutron tomography Abir, M. I.; Islam, F. F.; Craft, A. Journal of Instrumentation, Vol. 11, Issue 01 https://doi.org/10.1088/1748-0221/11/01/c01016	journal	January 2016
A sparsity-based iterative algorithm for reconstruction of micro-CT images from highly undersampled projection datasets obtained with a synchrotron X-ray source Melli, S. Ali; Wahid, Khan A.; Babyn, Paul Review of Scientific Instruments, Vol. 87, Issue 12 https://doi.org/10.1063/1.4968198	journal	December 2016
High-Resolution X-Ray and Neutron Computed Tomography of an Engine Combustion Network Spray G Gasoline Injector Duke, Daniel J.; Finney, Charles E. A.; Kastengren, Alan SAE International Journal of Fuels and Lubricants, Vol. 10, Issue 2 https://doi.org/10.4271/2017-01-0824	journal	March 2017
Evaluation of segregation in Roman sestertius coins Herringer, Susan N.; Ryzewski, Krysta; Bilheux, Hassina Z. Journal of Materials Science, Vol. 53, Issue 3 https://doi.org/10.1007/s10853-017-1629-x	journal	October 2017
Fast Algorithms and Efficient GPU Implementations for the Radon Transform and the Back-Projection Operator Represented as Convolution Operators Andersson, Fredrik; Carlsson, Marcus; Nikitin, Viktor V. SIAM Journal on Imaging Sciences, Vol. 9, Issue 2 https://doi.org/10.1137/15m1023762	journal	January 2016
The CG-1D Neutron Imaging Beamline at the Oak Ridge National Laboratory High Flux Isotope Reactor Santodonato, Lou; Bilheux, Hassina; Bailey, Barton Physics Procedia, Vol. 69 https://doi.org/10.1016/j.phpro.2015.07.015	journal	January 2015
Improved Total Variation-Type Regularization Using Higher Order Edge Detectors Stefan, W.; Renaut, R. A.; Gelb, A. SIAM Journal on Imaging Sciences, Vol. 3, Issue 2 https://doi.org/10.1137/080730251	journal	January 2010
A method to reduce the Gibbs ringing artifact in MRI scans while keeping tissue boundary integrity Archibald, R.; Gelb, A. IEEE Transactions on Medical Imaging, Vol. 21, Issue 4 https://doi.org/10.1109/tmi.2002.1000255	journal	April 2002
A Historical Analysis of the Co-evolution of Gasoline Octane Number and Spark-Ignition Engines Splitter, Derek; Pawlowski, Alexander; Wagner, Robert Frontiers in Mechanical Engineering, Vol. 1 https://doi.org/10.3389/fmech.2015.00016	journal	January 2016
Bayesian reconstructions from emission tomography data using a modified EM algorithm Green, P. J. IEEE Transactions on Medical Imaging, Vol. 9, Issue 1 https://doi.org/10.1109/42.52985	journal	March 1990
3D imaging using combined neutron-photon fan-beam tomography: A Monte Carlo study Hartman, J.; Yazdanpanah, A. Pour; Barzilov, A. Applied Radiation and Isotopes, Vol. 111 https://doi.org/10.1016/j.apradiso.2016.02.018	journal	May 2016
K-edge eliminated material decomposition method for dual-energy X-ray CT Zhao, Tiao; Li, Liang; Chen, Zhiqiang Applied Radiation and Isotopes, Vol. 127 https://doi.org/10.1016/j.apradiso.2017.06.018	journal	September 2017
Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm Andersen, A. H.; Kak, A. C. Ultrasonic Imaging, Vol. 6, Issue 1 https://doi.org/10.1177/016173468400600107	journal	January 1984
Total Generalized Variation Bredies, Kristian; Kunisch, Karl; Pock, Thomas SIAM Journal on Imaging Sciences, Vol. 3, Issue 3 https://doi.org/10.1137/090769521	journal	January 2010
In-situ neutron imaging of hydrogenous fuels in combustion generated porous carbons under dynamic and steady state pressure conditions Ossler, Frederik; Santodonato, Louis J.; Bilheux, Hassina Z. Carbon, Vol. 116 https://doi.org/10.1016/j.carbon.2017.02.025	journal	May 2017
Experimental demonstration of novel beam characterization using a polarizable X-band transverse deflection structure Marchetti, B.; Grudiev, A.; Craievich, P. Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-82687-2	journal	February 2021
Fast algorithms and efficient GPU implementations for the Radon transform and the back-projection operator represented as convolution operators Andersson, Fredrik; Carlsson, Marcus; Nikitin, Viktor V. arXiv https://doi.org/10.48550/arxiv.1506.00014	preprint	January 2015
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information Candes, Emmanuel; Romberg, Justin; Tao, Terence arXiv https://doi.org/10.48550/arxiv.math/0409186	preprint	January 2004

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