Total variation-based neutron computed tomography

Richard C. Barnard; Hassina Bilheux; Todd Toops; Eric Nafziger; Charles Finney; Derek Splitter; Rick Archibald

doi:10.1063/1.5037341

Total variation-based neutron computed tomography

Richard C. Barnard, Hassina Bilheux, Todd Toops, Eric Nafziger, Charles Finney, Derek Splitter, Rick Archibald

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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. 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. The algorithm removes artifacts and can even roughly capture small features when an extremely low number of angles are used.

Original language	English
Article number	053704
Journal	Review of Scientific Instruments
Volume	89
Issue number	5
DOIs	https://doi.org/10.1063/1.5037341
State	Published - May 1 2018

Funding

Part of this research conducted at the High Flux Isotope Reactor was sponsored by the Scientific User Facility Division, Office of Basic Energy Sciences, U.S. Department of Energy. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This manuscript has been authored by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan).

Funders	Funder number
LLC
Oak
Scientific User Facility Division
UT-Battelle
U.S. Department of Energy
Office of Science
Basic Energy Sciences
Oak Ridge National Laboratory

Access to Document

10.1063/1.5037341

Cite this

@article{b16b204973cf47c3b1ef7e8d42a5fc65,

title = "Total variation-based neutron computed tomography",

abstract = "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. 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. The algorithm removes artifacts and can even roughly capture small features when an extremely low number of angles are used.",

author = "Barnard, {Richard C.} and Hassina Bilheux and Todd Toops and Eric Nafziger and Charles Finney and Derek Splitter and Rick Archibald",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).",

year = "2018",

month = may,

day = "1",

doi = "10.1063/1.5037341",

language = "English",

volume = "89",

journal = "Review of Scientific Instruments",

issn = "0034-6748",

publisher = "American Institute of Physics",

number = "5",

}

TY - JOUR

T1 - Total variation-based neutron computed tomography

AU - Barnard, Richard C.

AU - Bilheux, Hassina

AU - Toops, Todd

AU - Nafziger, Eric

AU - Finney, Charles

AU - Splitter, Derek

AU - Archibald, Rick

PY - 2018/5/1

Y1 - 2018/5/1

N2 - 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. 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. The algorithm removes artifacts and can even roughly capture small features when an extremely low number of angles are used.

AB - 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. 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. The algorithm removes artifacts and can even roughly capture small features when an extremely low number of angles are used.

UR - http://www.scopus.com/inward/record.url?scp=85046934031&partnerID=8YFLogxK

U2 - 10.1063/1.5037341

DO - 10.1063/1.5037341

M3 - Article

C2 - 29864820

AN - SCOPUS:85046934031

SN - 0034-6748

VL - 89

JO - Review of Scientific Instruments

JF - Review of Scientific Instruments

IS - 5

M1 - 053704

ER -

Total variation-based neutron computed tomography

Abstract

Funding

Access to Document

Other files and links

Fingerprint

Cite this