GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging

Pryor, Alan; Yang, Yongsoo; Rana, Arjun; Gallagher-Jones, Marcus; Zhou, Jihan; Lo, Yuan Hung; Melinte, Georgian; Chiu, Wah; Rodriguez, Jose A.; Miao, Jianwei

doi:10.1038/s41598-017-09847-1

Title: GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging

Abstract

Tomography has made a radical impact on diverse fields ranging from the study of 3D atomic arrangements in matter to the study of human health in medicine. Despite its very diverse applications, the core of tomography remains the same, that is, a mathematical method must be implemented to reconstruct the 3D structure of an object from a number of 2D projections. Here, we present the mathematical implementation of a tomographic algorithm, termed GENeralized Fourier Iterative REconstruction (GENFIRE), for high-resolution 3D reconstruction from a limited number of 2D projections. GENFIRE first assembles a 3D Fourier grid with oversampling and then iterates between real and reciprocal space to search for a global solution that is concurrently consistent with the measured data and general physical constraints. The algorithm requires minimal human intervention and also incorporates angular refinement to reduce the tilt angle error. We demonstrate that GENFIRE can produce superior results relative to several other popular tomographic reconstruction techniques through numerical simulations and by experimentally reconstructing the 3D structure of a porous material and a frozen-hydrated marine cyanobacterium. As a result, equipped with a graphical user interface, GENFIRE is freely available from our website and is expected to find broad applications across differentmore » disciplines.« less

Authors:

Pryor, Alan ^[1];

^[1]; Rana, Arjun ^[1]; Gallagher-Jones, Marcus ^[2]; Zhou, Jihan ^[1]; Lo, Yuan Hung ^[1]; Melinte, Georgian ^[3]; Chiu, Wah ^[4]; Rodriguez, Jose A. ^[5]; Miao, Jianwei ^[1]

Univ. of California, Los Angeles, CA (United States)
Univ. of California, Los Angeles, CA (United States); UCLA-DOE Institute for Genomics and Proteomics, Los Angeles, CA (United States)
Univ. of California, Los Angeles, CA (United States); CNRS-Univ. de Strasbourg, Strasbourg (France)
Stanford Univ., Stanford, CA (United States)
UCLA-DOE Institute for Genomics and Proteomics, Los Angeles, CA (United States)

Publication Date:: Tue Sep 05 00:00:00 EDT 2017

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1394084

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; Applied physics; Imaging techniques; Nanoscale materials

Citation Formats


                    Pryor, Alan, Yang, Yongsoo, Rana, Arjun, Gallagher-Jones, Marcus, Zhou, Jihan, Lo, Yuan Hung, Melinte, Georgian, Chiu, Wah, Rodriguez, Jose A., and Miao, Jianwei. GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging.  United States: N. p., 2017. 
Web.  doi:10.1038/s41598-017-09847-1.

Copy to clipboard


                    Pryor, Alan, Yang, Yongsoo, Rana, Arjun, Gallagher-Jones, Marcus, Zhou, Jihan, Lo, Yuan Hung, Melinte, Georgian, Chiu, Wah, Rodriguez, Jose A., & Miao, Jianwei. GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging.  United States.  https://doi.org/10.1038/s41598-017-09847-1

Copy to clipboard


                    Pryor, Alan, Yang, Yongsoo, Rana, Arjun, Gallagher-Jones, Marcus, Zhou, Jihan, Lo, Yuan Hung, Melinte, Georgian, Chiu, Wah, Rodriguez, Jose A., and Miao, Jianwei. Tue .  
"GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging".  United States.  https://doi.org/10.1038/s41598-017-09847-1.  https://www.osti.gov/servlets/purl/1394084.

Copy to clipboard


                    
@article{osti_1394084,

  title        = {GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging},

  author       = {Pryor, Alan and Yang, Yongsoo and Rana, Arjun and Gallagher-Jones, Marcus and Zhou, Jihan and Lo, Yuan Hung and Melinte, Georgian and Chiu, Wah and Rodriguez, Jose A. and Miao, Jianwei},

  abstractNote = {Tomography has made a radical impact on diverse fields ranging from the study of 3D atomic arrangements in matter to the study of human health in medicine. Despite its very diverse applications, the core of tomography remains the same, that is, a mathematical method must be implemented to reconstruct the 3D structure of an object from a number of 2D projections. Here, we present the mathematical implementation of a tomographic algorithm, termed GENeralized Fourier Iterative REconstruction (GENFIRE), for high-resolution 3D reconstruction from a limited number of 2D projections. GENFIRE first assembles a 3D Fourier grid with oversampling and then iterates between real and reciprocal space to search for a global solution that is concurrently consistent with the measured data and general physical constraints. The algorithm requires minimal human intervention and also incorporates angular refinement to reduce the tilt angle error. We demonstrate that GENFIRE can produce superior results relative to several other popular tomographic reconstruction techniques through numerical simulations and by experimentally reconstructing the 3D structure of a porous material and a frozen-hydrated marine cyanobacterium. As a result, equipped with a graphical user interface, GENFIRE is freely available from our website and is expected to find broad applications across different disciplines.},

  doi          = {10.1038/s41598-017-09847-1},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 7,

  place        = {United States},

  year         = {Tue Sep 05 00:00:00 EDT 2017},

  month        = {Tue Sep 05 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1038/s41598-017-09847-1

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 57 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Three-dimensional coordinates of individual atoms in materials revealed by electron tomography
journal, September 2015

Xu, Rui; Chen, Chien-Chun; Wu, Li
Nature Materials, Vol. 14, Issue 11
DOI: 10.1038/nmat4426

High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers
journal, October 2012

Zhao, Y.; Brun, E.; Coan, P.
Proceedings of the National Academy of Sciences, Vol. 109, Issue 45
DOI: 10.1073/pnas.1204460109

Electron tomography at 2.4-ångström resolution
journal, March 2012

Scott, M. C.; Chen, Chien-Chun; Mecklenburg, Matthew
Nature, Vol. 483, Issue 7390
DOI: 10.1038/nature10934

STRUCTURAL STUDIES BY ELECTRON TOMOGRAPHY: From Cells to Molecules
journal, June 2005

Lučić, Vladan; Förster, Friedrich; Baumeister, Wolfgang
Annual Review of Biochemistry, Vol. 74, Issue 1
DOI: 10.1146/annurev.biochem.73.011303.074112

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
Nature, Vol. 400, Issue 6742
DOI: 10.1038/22498

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources
journal, March 2006

Pfeiffer, Franz; Weitkamp, Timm; Bunk, Oliver
Nature Physics, Vol. 2, Issue 4, p. 258-261
DOI: 10.1038/nphys265

The Three-Dimensional Morphology of Growing Dendrites
journal, July 2015

Gibbs, J. W.; Mohan, K. A.; Gulsoy, E. B.
Scientific Reports, Vol. 5, Issue 1
DOI: 10.1038/srep11824

Beyond crystallography: Diffractive imaging using coherent x-ray light sources
journal, April 2015

Miao, J.; Ishikawa, T.; Robinson, I. K.
Science, Vol. 348, Issue 6234
DOI: 10.1126/science.aaa1394

Unravelling biological macromolecules with cryo-electron microscopy
journal, September 2016

Fernandez-Leiro, Rafael; Scheres, Sjors H. W.
Nature, Vol. 537, Issue 7620
DOI: 10.1038/nature19948

Nonlinear total variation based noise removal algorithms
journal, November 1992

Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad
Physica D: Nonlinear Phenomena, Vol. 60, Issue 1-4
DOI: 10.1016/0167-2789(92)90242-F

Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
journal, August 2007

Dabov, Kostadin; Foi, Alessandro; Katkovnik, Vladimir
IEEE Transactions on Image Processing, Vol. 16, Issue 8
DOI: 10.1109/TIP.2007.901238

Compressed sensing
journal, April 2006

Donoho, D. L.
IEEE Transactions on Information Theory, Vol. 52, Issue 4
DOI: 10.1109/TIT.2006.871582

Deciphering chemical order/disorder and material properties at the single-atom level
journal, February 2017

Yang, Yongsoo; Chen, Chien-Chun; Scott, M. C.
Nature, Vol. 542, Issue 7639
DOI: 10.1038/nature21042

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution
journal, March 2013

Chen, Chien-Chun; Zhu, Chun; White, Edward R.
Nature, Vol. 496, Issue 7443
DOI: 10.1038/nature12009

Three-dimensional structure determination from a single view
journal, December 2009

Raines, Kevin S.; Salha, Sara; Sandberg, Richard L.
Nature, Vol. 463, Issue 7278
DOI: 10.1038/nature08705

Visualizing virus assembly intermediates inside marine cyanobacteria
journal, October 2013

Dai, Wei; Fu, Caroline; Raytcheva, Desislava
Nature, Vol. 502, Issue 7473
DOI: 10.1038/nature12604

A two-dimensional interpolation function for irregularly-spaced data
conference, January 1968

Shepard, Donald
Proceedings of the 1968 23rd ACM national conference on -
DOI: 10.1145/800186.810616

Atomic electron tomography: 3D structures without crystals
journal, September 2016

Miao, J.; Ercius, P.; Billinge, S. J. L.
Science, Vol. 353, Issue 6306
DOI: 10.1126/science.aaf2157

Phase–contrast X–ray computed tomography for observing biological soft tissues
journal, April 1996

Momose, Atsushi; Takeda, Tohoru; Itai, Yuji
Nature Medicine, Vol. 2, Issue 4
DOI: 10.1038/nm0496-473

Single-Particle Cryo-EM at Crystallographic Resolution
journal, April 2015

Cheng, Yifan
Cell, Vol. 161, Issue 3
DOI: 10.1016/j.cell.2015.03.049

The development of cryo-EM into a mainstream structural biology technique
journal, December 2015

Nogales, Eva
Nature Methods, Vol. 13, Issue 1
DOI: 10.1038/nmeth.3694

Low-dose x-ray phase-contrast and absorption CT using equally sloped tomography
journal, August 2010

Fahimian, Benjamin P.; Mao, Yu; Cloetens, Peter
Physics in Medicine and Biology, Vol. 55, Issue 18
DOI: 10.1088/0031-9155/55/18/008

Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy
journal, June 2010

Jiang, H.; Song, C.; Chen, C. -C.
Proceedings of the National Academy of Sciences, Vol. 107, Issue 25
DOI: 10.1073/pnas.1000156107

Measuring Lattice Strain in Three Dimensions through Electron Microscopy
journal, September 2015

Goris, Bart; De Beenhouwer, Jan; De Backer, Annick
Nano Letters, Vol. 15, Issue 10
DOI: 10.1021/acs.nanolett.5b03008

On possible extensions of X-ray crystallography through diffraction-pattern oversampling
journal, November 2000

Miao, J.; Sayre, D.
Acta Crystallographica Section A Foundations of Crystallography, Vol. 56, Issue 6
DOI: 10.1107/S010876730001031X

Dual-Axis Tomography: An Approach with Alignment Methods That Preserve Resolution
journal, December 1997

Mastronarde, David N.
Journal of Structural Biology, Vol. 120, Issue 3
DOI: 10.1006/jsbi.1997.3919

Three-dimensional imaging of chemical phase transformations at the nanoscale with full-field transmission X-ray microscopy
journal, July 2011

Meirer, Florian; Cabana, Jordi; Liu, Yijin
Journal of Synchrotron Radiation, Vol. 18, Issue 5
DOI: 10.1107/S0909049511019364

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography
journal, December 1970

Gordon, Richard; Bender, Robert; Herman, Gabor T.
Journal of Theoretical Biology, Vol. 29, Issue 3
DOI: 10.1016/0022-5193(70)90109-8

Mo-Si-B Alloys for Ultrahigh-Temperature Structural Applications
journal, June 2012

Lemberg, J. A.; Ritchie, R. O.
Advanced Materials, Vol. 24, Issue 26
DOI: 10.1002/adma.201200764

Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects
journal, January 1998

Miao, J.; Sayre, D.; Chapman, H. N.
Journal of the Optical Society of America A, Vol. 15, Issue 6
DOI: 10.1364/JOSAA.15.001662

Metrics for 3D Rotations: Comparison and Analysis
journal, June 2009

Huynh, Du Q.
Journal of Mathematical Imaging and Vision, Vol. 35, Issue 2
DOI: 10.1007/s10851-009-0161-2

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006

Candes, E.J.; Romberg, J.; Tao, T.
IEEE Transactions on Information Theory, Vol. 52, Issue 2, p. 489-509
DOI: 10.1109/TIT.2005.862083

Advanced Computing in Electron Microscopy
book, January 2010

Kirkland, Earl J.
DOI: 10.1007/978-1-4419-6533-2

Phase-contrast zoom tomography reveals precise locations of macrophages in mouse lungs
journal, May 2015

Krenkel, Martin; Markus, Andrea; Bartels, Matthias
Scientific Reports, Vol. 5, Issue 1
DOI: 10.1038/srep09973

Structure of -galactosidase at 3.2-A resolution obtained by cryo-electron microscopy
journal, July 2014

Bartesaghi, A.; Matthies, D.; Banerjee, S.
Proceedings of the National Academy of Sciences, Vol. 111, Issue 32
DOI: 10.1073/pnas.1402809111

Iterative methods for the three-dimensional reconstruction of an object from projections
journal, July 1972

Gilbert, Peter
Journal of Theoretical Biology, Vol. 36, Issue 1
DOI: 10.1016/0022-5193(72)90180-4

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography
journal, November 2008

Lee, Edwin; Fahimian, Benjamin P.; Iancu, Cristina V.
Journal of Structural Biology, Vol. 164, Issue 2
DOI: 10.1016/j.jsb.2008.07.011

Ptychographic X-ray computed tomography at the nanoscale
journal, September 2010

Dierolf, Martin; Menzel, Andreas; Thibault, Pierre
Nature, Vol. 467, Issue 7314
DOI: 10.1038/nature09419

Three-Dimensional $GaN − {Ga}_{2} O_{3}$ Core Shell Structure Revealed by X-Ray Diffraction Microscopy
journal, November 2006

Miao, Jianwei; Chen, Chien-Chun; Song, Changyong
Physical Review Letters, Vol. 97, Issue 21
DOI: 10.1103/PhysRevLett.97.215503

Tomo3D 2.0 – Exploitation of Advanced Vector eXtensions (AVX) for 3D reconstruction
journal, February 2015

Agulleiro, Jose-Ignacio; Fernandez, Jose-Jesus
Journal of Structural Biology, Vol. 189, Issue 2
DOI: 10.1016/j.jsb.2014.11.009

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography
journal, October 2015

Haberfehlner, Georg; Thaler, Philipp; Knez, Daniel
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms9779

Imaging cellular architecture with X-rays
journal, October 2010

Larabell, Carolyn A.; Nugent, Keith A.
Current Opinion in Structural Biology, Vol. 20, Issue 5
DOI: 10.1016/j.sbi.2010.08.008

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale
journal, September 2009

Rioult, F. A.; Imhoff, S. D.; Sakidja, R.
Acta Materialia, Vol. 57, Issue 15
DOI: 10.1016/j.actamat.2009.06.036

Three-Dimensional Electron Microscopy of Macromolecular Assemblies
book, January 2006

Frank, Joachim
Oxford University Press
DOI: 10.1093/acprof:oso/9780195182187.001.0001

Compressed sensing electron tomography
journal, August 2013

Leary, Rowan; Saghi, Zineb; Midgley, Paul A.
Ultramicroscopy, Vol. 131
DOI: 10.1016/j.ultramic.2013.03.019

A new view into prokaryotic cell biology from electron cryotomography
journal, February 2016

Oikonomou, Catherine M.; Chang, Yi-Wei; Jensen, Grant J.
Nature Reviews Microbiology, Vol. 14, Issue 4
DOI: 10.1038/nrmicro.2016.7

Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm
journal, January 1984

Andersen, A. H.; Kak, A. C.
Ultrasonic Imaging, Vol. 6, Issue 1
DOI: 10.1177/016173468400600107

Fundamentals of Computerized Tomography
book, January 2009

Herman, Gabor T.
Advances in Pattern Recognition
DOI: 10.1007/978-1-84628-723-7

High-resolution non-destructive three-dimensional imaging of integrated circuits
journal, March 2017

Holler, Mirko; Guizar-Sicairos, Manuel; Tsai, Esther H. R.
Nature, Vol. 543, Issue 7645
DOI: 10.1038/nature21698

Principles of Computerized Tomographic Imaging
book, January 2001

Kak, Avinash C.; Slaney, Malcolm
Classics in Applied Mathematics
DOI: 10.1137/1.9780898719277

Three-Dimensional Visualization of a Human Chromosome Using Coherent X-Ray Diffraction
journal, January 2009

Nishino, Yoshinori; Takahashi, Yukio; Imamoto, Naoko
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.018101

Three-Dimensional Coherent X-Ray Diffraction Imaging of Molten Iron in Mantle Olivine at Nanoscale Resolution
journal, May 2013

Jiang, Huaidong; Xu, Rui; Chen, Chien-Chun
Physical Review Letters, Vol. 110, Issue 20
DOI: 10.1103/PhysRevLett.110.205501

Equally sloped tomography with oversampling reconstruction
journal, August 2005

Miao, Jianwei; Förster, Friedrich; Levi, Ofer
Physical Review B, Vol. 72, Issue 5
DOI: 10.1103/PhysRevB.72.052103

Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction: Dose reduction in CT via Fourier-Based Iterative Reconstruction
journal, February 2013

Fahimian, Benjamin P.; Zhao, Yunzhe; Huang, Zhifeng
Medical Physics, Vol. 40, Issue 3
DOI: 10.1118/1.4791644

Advanced Computing in Electron Microscopy
book, January 1998

Kirkland, Earl J.
DOI: 10.1007/978-1-4757-4406-4

Experimental demonstration of novel beam characterization using a polarizable X-band transverse deflection structure
journal, February 2021

Marchetti, B.; Grudiev, A.; Craievich, P.
Scientific Reports, Vol. 11, Issue 1
DOI: 10.1038/s41598-021-82687-2

Advanced Computing in Electron Microscopy
book, January 2020

Kirkland, Earl J.
Springer Cham
DOI: 10.1007/978-3-030-33260-0

Three-dimensional structure determination from a single view
text, January 2009

Raines, Kevin S.; Salha, Sara; Sandberg, Richard L.
arXiv
DOI: 10.48550/arxiv.0905.0269

Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
preprint, January 2004

Candes, Emmanuel; Romberg, Justin; Tao, Terence
arXiv
DOI: 10.48550/arxiv.math/0409186

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography
journal, December 1970

Gordon, Richard; Bender, Robert; Herman, Gabor T.
Journal of Theoretical Biology, Vol. 29, Issue 3
DOI: 10.1016/0022-5193(70)90109-8

Iterative methods for the three-dimensional reconstruction of an object from projections
journal, July 1972

Gilbert, Peter
Journal of Theoretical Biology, Vol. 36, Issue 1
DOI: 10.1016/0022-5193(72)90180-4

An overview of convex projections theory and its application to image recovery problems
journal, January 1992

Sezan, M. Ibrahim
Ultramicroscopy, Vol. 40, Issue 1
DOI: 10.1016/0304-3991(92)90234-b

Ab initio phase determination and phase extension using non-crystallographic symmetry
journal, October 1995

Rossmann, Michael G.
Current Opinion in Structural Biology, Vol. 5, Issue 5
DOI: 10.1016/0959-440x(95)80058-1

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale
journal, September 2009

Rioult, F. A.; Imhoff, S. D.; Sakidja, R.
Acta Materialia, Vol. 57, Issue 15
DOI: 10.1016/j.actamat.2009.06.036

Single-Particle Cryo-EM at Crystallographic Resolution
journal, April 2015

Cheng, Yifan
Cell, Vol. 161, Issue 3
DOI: 10.1016/j.cell.2015.03.049

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography
journal, November 2008

Lee, Edwin; Fahimian, Benjamin P.; Iancu, Cristina V.
Journal of Structural Biology, Vol. 164, Issue 2
DOI: 10.1016/j.jsb.2008.07.011

Imaging cellular architecture with X-rays
journal, October 2010

Larabell, Carolyn A.; Nugent, Keith A.
Current Opinion in Structural Biology, Vol. 20, Issue 5
DOI: 10.1016/j.sbi.2010.08.008

Compressed sensing electron tomography
journal, August 2013

Leary, Rowan; Saghi, Zineb; Midgley, Paul A.
Ultramicroscopy, Vol. 131
DOI: 10.1016/j.ultramic.2013.03.019

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
Nature, Vol. 400, Issue 6742
DOI: 10.1038/22498

Three-dimensional structure determination from a single view
journal, December 2009

Raines, Kevin S.; Salha, Sara; Sandberg, Richard L.
Nature, Vol. 463, Issue 7278
DOI: 10.1038/nature08705

Ptychographic X-ray computed tomography at the nanoscale
journal, September 2010

Dierolf, Martin; Menzel, Andreas; Thibault, Pierre
Nature, Vol. 467, Issue 7314
DOI: 10.1038/nature09419

Electron tomography at 2.4-ångström resolution
journal, March 2012

Scott, M. C.; Chen, Chien-Chun; Mecklenburg, Matthew
Nature, Vol. 483, Issue 7390
DOI: 10.1038/nature10934

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution
journal, March 2013

Chen, Chien-Chun; Zhu, Chun; White, Edward R.
Nature, Vol. 496, Issue 7443
DOI: 10.1038/nature12009

Visualizing virus assembly intermediates inside marine cyanobacteria
journal, October 2013

Dai, Wei; Fu, Caroline; Raytcheva, Desislava
Nature, Vol. 502, Issue 7473
DOI: 10.1038/nature12604

Deciphering chemical order/disorder and material properties at the single-atom level
journal, February 2017

Yang, Yongsoo; Chen, Chien-Chun; Scott, M. C.
Nature, Vol. 542, Issue 7639
DOI: 10.1038/nature21042

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography
journal, October 2015

Haberfehlner, Georg; Thaler, Philipp; Knez, Daniel
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms9779

Phase–contrast X–ray computed tomography for observing biological soft tissues
journal, April 1996

Momose, Atsushi; Takeda, Tohoru; Itai, Yuji
Nature Medicine, Vol. 2, Issue 4
DOI: 10.1038/nm0496-473

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources
journal, March 2006

Pfeiffer, Franz; Weitkamp, Timm; Bunk, Oliver
Nature Physics, Vol. 2, Issue 4, p. 258-261
DOI: 10.1038/nphys265

Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy
journal, June 2010

Jiang, H.; Song, C.; Chen, C. -C.
Proceedings of the National Academy of Sciences, Vol. 107, Issue 25
DOI: 10.1073/pnas.1000156107

High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers
journal, October 2012

Zhao, Y.; Brun, E.; Coan, P.
Proceedings of the National Academy of Sciences, Vol. 109, Issue 45
DOI: 10.1073/pnas.1204460109

Structure of -galactosidase at 3.2-A resolution obtained by cryo-electron microscopy
journal, July 2014

Bartesaghi, A.; Matthies, D.; Banerjee, S.
Proceedings of the National Academy of Sciences, Vol. 111, Issue 32
DOI: 10.1073/pnas.1402809111

Comments on "Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
journal, January 2011

Yingkun Hou,
IEEE Transactions on Image Processing, Vol. 20, Issue 1
DOI: 10.1109/tip.2010.2052281

Image Restoration by the Method of Convex Projections: Part 1ߞTheory
journal, October 1982

Youla, D. C.; Webb, H.
IEEE Transactions on Medical Imaging, Vol. 1, Issue 2
DOI: 10.1109/tmi.1982.4307555

Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction
journal, May 2006

O'Connor, Y. Z.; Fessler, J. A.
IEEE Transactions on Medical Imaging, Vol. 25, Issue 5
DOI: 10.1109/tmi.2006.872139

Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction: Dose reduction in CT via Fourier-Based Iterative Reconstruction
journal, February 2013

Fahimian, Benjamin P.; Zhao, Yunzhe; Huang, Zhifeng
Medical Physics, Vol. 40, Issue 3
DOI: 10.1118/1.4791644

Beyond crystallography: Diffractive imaging using coherent x-ray light sources
journal, April 2015

Miao, J.; Ishikawa, T.; Robinson, I. K.
Science, Vol. 348, Issue 6234
DOI: 10.1126/science.aaa1394

STRUCTURAL STUDIES BY ELECTRON TOMOGRAPHY: From Cells to Molecules
journal, June 2005

Lučić, Vladan; Förster, Friedrich; Baumeister, Wolfgang
Annual Review of Biochemistry, Vol. 74, Issue 1
DOI: 10.1146/annurev.biochem.73.011303.074112

Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm
journal, January 1984

Andersen, A. H.; Kak, A. C.
Ultrasonic Imaging, Vol. 6, Issue 1
DOI: 10.1177/016173468400600107

On some common compressive sensing recovery algorithms and applications - Review paper
preprint, January 2017

Draganic, Andjela; Orovic, Irena; Stankovic, Srdjan
arXiv
DOI: 10.48550/arxiv.1705.05216

Works referencing / citing this record:

Three-dimensional structural dynamics of DNA origami Bennett linkages using individual-particle electron tomography
journal, February 2018

Lei, Dongsheng; Marras, Alexander E.; Liu, Jianfang
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-03018-0

A molecular cross-linking approach for hybrid metal oxides
journal, March 2018

Jung, Dahee; Saleh, Liban M. A.; Berkson, Zachariah J.
Nature Materials, Vol. 17, Issue 4
DOI: 10.1038/s41563-018-0021-9

Correlating the three-dimensional atomic defects and electronic properties of two-dimensional transition metal dichalcogenides
journal, March 2020

Tian, Xuezeng; Kim, Dennis S.; Yang, Shize
Nature Materials, Vol. 19, Issue 8
DOI: 10.1038/s41563-020-0636-5

Observing crystal nucleation in four dimensions using atomic electron tomography
journal, June 2019

Zhou, Jihan; Yang, Yongsoo; Yang, Yao
Nature, Vol. 570, Issue 7762
DOI: 10.1038/s41586-019-1317-x

Quantitative characterization of high temperature oxidation using electron tomography and energy-dispersive X-ray spectroscopy
journal, July 2018

Zhou, Jihan; Taylor, Matthew; Melinte, Georgian A.
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-018-28348-3

Single-Molecule 3D Images of “Hole-Hole” IgG1 Homodimers by Individual-Particle Electron Tomography
journal, June 2019

Lei, Dongsheng; Liu, Jianfang; Liu, Hongbin
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-44978-7

Multimodal x-ray and electron microscopy of the Allende meteorite
journal, September 2019

Lo, Yuan Hung; Liao, Chen-Ting; Zhou, Jihan
Science Advances, Vol. 5, Issue 9
DOI: 10.1126/sciadv.aax3009

A streaming multi-GPU implementation of image simulation algorithms for scanning transmission electron microscopy
journal, October 2017

Pryor, Alan; Ophus, Colin; Miao, Jianwei
Advanced Structural and Chemical Imaging, Vol. 3, Issue 1
DOI: 10.1186/s40679-017-0048-z

Electron tomography for functional nanomaterials
journal, April 2020

Hovden, Robert; Muller, David A.
MRS Bulletin, Vol. 45, Issue 4
DOI: 10.1557/mrs.2020.87

Atomic electron tomography in three and four dimensions
journal, April 2020

Zhou, Jihan; Yang, Yongsoo; Ercius, Peter
MRS Bulletin, Vol. 45, Issue 4
DOI: 10.1557/mrs.2020.88

A Streaming Multi-GPU Implementation of Image Simulation Algorithms for Scanning Transmission Electron Microscopy
preprint, January 2017

Pryor, Alan; Ophus, Colin; Miao, Jianwei
arXiv
DOI: 10.48550/arxiv.1706.08563

Quantitative characterization of high temperature oxidation using electron tomography and energy-dispersive X-ray spectroscopy
journal, July 2018

Zhou, Jihan; Taylor, Matthew; Melinte, Georgian A.
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-018-28348-3

Single-Molecule 3D Images of “Hole-Hole” IgG1 Homodimers by Individual-Particle Electron Tomography
journal, June 2019

Lei, Dongsheng; Liu, Jianfang; Liu, Hongbin
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-44978-7

Correlative 3D x-ray fluorescence and ptychographic tomography of frozen-hydrated green algae
journal, November 2018

Deng, Junjing; Lo, Yuan Hung; Gallagher-Jones, Marcus
Science Advances, Vol. 4, Issue 11
DOI: 10.1126/sciadv.aau4548

Multimodal x-ray and electron microscopy of the Allende meteorite
journal, September 2019

Lo, Yuan Hung; Liao, Chen-Ting; Zhou, Jihan
Science Advances, Vol. 5, Issue 9
DOI: 10.1126/sciadv.aax3009

A Streaming Multi-GPU Implementation of Image Simulation Algorithms for Scanning Transmission Electron Microscopy
preprint, January 2017

Pryor, Alan; Ophus, Colin; Miao, Jianwei
arXiv
DOI: 10.48550/arxiv.1706.08563

Similar Records in DOE PAGES and OSTI.GOV collections:

Accurate real space iterative reconstruction (RESIRE) algorithm for tomography

Journal Article Pham, Minh ; Yuan, Yakun ; Rana, Arjun ; ... - Scientific Reports

Abstract Tomography has made a revolutionary impact on the physical, biological and medical sciences. The mathematical foundation of tomography is to reconstruct a three-dimensional (3D) object from a set of two-dimensional (2D) projections. As the number of projections that can be measured from a sample is usually limited by the tolerable radiation dose and/or the geometric constraint on the tilt range, a main challenge in tomography is to achieve the best possible 3D reconstruction from a limited number of projections with noise. Over the years, a number of tomographic reconstruction methods have been developed including direct inversion, real-space, and Fourier-basedmore »« less
https://doi.org/10.1038/s41598-023-31124-7
Equally sloped tomography with oversampling reconstruction

Journal Article Jianwei, Miao ; Foerster, Friedrich ; Levi, Ofer - Physical Review. B, Condensed Matter and Materials Physics

We report the development of equally sloped tomography for the reconstruction of a 3D object from a number of 2D projections. In a combination of pseudopolar fast Fourier transform and the oversampling method with an iterative algorithm, equally sloped tomography makes superior 3D reconstruction to conventional tomography that has an intrinsic drawback due to the use of equally angled 2D projections. We believe this general approach will find applications in x-ray imaging, electron microscopy, coherent diffraction microscopy, and other tomographic imaging fields.
https://doi.org/10.1103/PhysRevB.72.052103
Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction

Journal Article Fahimian, Benjamin P. ; Yunzhe, Zhao ; Zhifeng, Huang ; ... - Medical Physics

Purpose: A Fourier-based iterative reconstruction technique, termed Equally Sloped Tomography (EST), is developed in conjunction with advanced mathematical regularization to investigate radiation dose reduction in x-ray CT. The method is experimentally implemented on fan-beam CT and evaluated as a function of imaging dose on a series of image quality phantoms and anonymous pediatric patient data sets. Numerical simulation experiments are also performed to explore the extension of EST to helical cone-beam geometry. Methods: EST is a Fourier based iterative algorithm, which iterates back and forth between real and Fourier space utilizing the algebraically exact pseudopolar fast Fourier transform (PPFFT). Inmore »« less
https://doi.org/10.1118/1.4791644
tomoCAM : fast model-based iterative reconstruction via GPU acceleration and non-uniform fast Fourier transforms

Journal Article Kumar, Dinesh ; Parkinson, Dilworth Y. ; Donatelli, Jeffrey J. - Journal of Synchrotron Radiation (Online)

X-ray-based computed tomography is a well established technique for determining the three-dimensional structure of an object from its two-dimensional projections. In the past few decades, there have been significant advancements in the brightness and detector technology of tomography instruments at synchrotron sources. These advancements have led to the emergence of new observations and discoveries, with improved capabilities such as faster frame rates, larger fields of view, higher resolution and higher dimensionality. These advancements have enabled the material science community to expand the scope of tomographic measurements towards increasingly in situ and in operando measurements. In these new experiments, samples canmore »« less
https://doi.org/10.1107/S1600577523008962
Image reconstruction for a Positron Emission Tomograph optimized for breast cancer imaging

Thesis/Dissertation Virador, Patrick R.G.

The author performs image reconstruction for a novel Positron Emission Tomography camera that is optimized for breast cancer imaging. This work addresses for the first time, the problem of fully-3D, tomographic reconstruction using a septa-less, stationary, (i.e. no rotation or linear motion), and rectangular camera whose Field of View (FOV) encompasses the entire volume enclosed by detector modules capable of measuring Depth of Interaction (DOI) information. The camera is rectangular in shape in order to accommodate breasts of varying sizes while allowing for soft compression of the breast during the scan. This non-standard geometry of the camera exacerbates two problems:more »« less
https://doi.org/10.2172/772147

Full Text Available

Similar Records

Title: GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging

Abstract

Citation Formats

Three-dimensional coordinates of individual atoms in materials revealed by electron tomography journal, September 2015

High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers journal, October 2012

Electron tomography at 2.4-ångström resolution journal, March 2012

STRUCTURAL STUDIES BY ELECTRON TOMOGRAPHY: From Cells to Molecules journal, June 2005

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens journal, July 1999

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources journal, March 2006

The Three-Dimensional Morphology of Growing Dendrites journal, July 2015

Beyond crystallography: Diffractive imaging using coherent x-ray light sources journal, April 2015

Unravelling biological macromolecules with cryo-electron microscopy journal, September 2016

Nonlinear total variation based noise removal algorithms journal, November 1992

Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering journal, August 2007

Compressed sensing journal, April 2006

Deciphering chemical order/disorder and material properties at the single-atom level journal, February 2017

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution journal, March 2013

Three-dimensional structure determination from a single view journal, December 2009

Visualizing virus assembly intermediates inside marine cyanobacteria journal, October 2013

A two-dimensional interpolation function for irregularly-spaced data conference, January 1968

Atomic electron tomography: 3D structures without crystals journal, September 2016

Phase–contrast X–ray computed tomography for observing biological soft tissues journal, April 1996

Single-Particle Cryo-EM at Crystallographic Resolution journal, April 2015

The development of cryo-EM into a mainstream structural biology technique journal, December 2015

Low-dose x-ray phase-contrast and absorption CT using equally sloped tomography journal, August 2010

Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy journal, June 2010

Measuring Lattice Strain in Three Dimensions through Electron Microscopy journal, September 2015

On possible extensions of X-ray crystallography through diffraction-pattern oversampling journal, November 2000

Dual-Axis Tomography: An Approach with Alignment Methods That Preserve Resolution journal, December 1997

Three-dimensional imaging of chemical phase transformations at the nanoscale with full-field transmission X-ray microscopy journal, July 2011

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography journal, December 1970

Mo-Si-B Alloys for Ultrahigh-Temperature Structural Applications journal, June 2012

Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects journal, January 1998

Metrics for 3D Rotations: Comparison and Analysis journal, June 2009

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information journal, February 2006

Advanced Computing in Electron Microscopy book, January 2010

Phase-contrast zoom tomography reveals precise locations of macrophages in mouse lungs journal, May 2015

Structure of -galactosidase at 3.2-A resolution obtained by cryo-electron microscopy journal, July 2014

Iterative methods for the three-dimensional reconstruction of an object from projections journal, July 1972

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography journal, November 2008

Ptychographic X-ray computed tomography at the nanoscale journal, September 2010

Three-Dimensional GaN − Ga 2 O 3 Core Shell Structure Revealed by X-Ray Diffraction Microscopy journal, November 2006

Tomo3D 2.0 – Exploitation of Advanced Vector eXtensions (AVX) for 3D reconstruction journal, February 2015

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography journal, October 2015

Imaging cellular architecture with X-rays journal, October 2010

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale journal, September 2009

Three-Dimensional Electron Microscopy of Macromolecular Assemblies book, January 2006

Compressed sensing electron tomography journal, August 2013

A new view into prokaryotic cell biology from electron cryotomography journal, February 2016

Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm journal, January 1984

Fundamentals of Computerized Tomography book, January 2009

High-resolution non-destructive three-dimensional imaging of integrated circuits journal, March 2017

Principles of Computerized Tomographic Imaging book, January 2001

Three-Dimensional Visualization of a Human Chromosome Using Coherent X-Ray Diffraction journal, January 2009

Three-Dimensional Coherent X-Ray Diffraction Imaging of Molten Iron in Mantle Olivine at Nanoscale Resolution journal, May 2013

Equally sloped tomography with oversampling reconstruction journal, August 2005

Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction: Dose reduction in CT via Fourier-Based Iterative Reconstruction journal, February 2013

Advanced Computing in Electron Microscopy book, January 1998

Experimental demonstration of novel beam characterization using a polarizable X-band transverse deflection structure journal, February 2021

Advanced Computing in Electron Microscopy book, January 2020

Three-dimensional structure determination from a single view text, January 2009

Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information preprint, January 2004

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography journal, December 1970

Iterative methods for the three-dimensional reconstruction of an object from projections journal, July 1972

An overview of convex projections theory and its application to image recovery problems journal, January 1992

Ab initio phase determination and phase extension using non-crystallographic symmetry journal, October 1995

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale journal, September 2009

Single-Particle Cryo-EM at Crystallographic Resolution journal, April 2015

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography journal, November 2008

Imaging cellular architecture with X-rays journal, October 2010

Compressed sensing electron tomography journal, August 2013

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens journal, July 1999

Three-dimensional structure determination from a single view journal, December 2009

Ptychographic X-ray computed tomography at the nanoscale journal, September 2010

Electron tomography at 2.4-ångström resolution journal, March 2012

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution journal, March 2013

Visualizing virus assembly intermediates inside marine cyanobacteria journal, October 2013

Deciphering chemical order/disorder and material properties at the single-atom level journal, February 2017

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography journal, October 2015

Phase–contrast X–ray computed tomography for observing biological soft tissues journal, April 1996

Three-dimensional coordinates of individual atoms in materials revealed by electron tomography
journal, September 2015

High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers
journal, October 2012

Electron tomography at 2.4-ångström resolution
journal, March 2012

STRUCTURAL STUDIES BY ELECTRON TOMOGRAPHY: From Cells to Molecules
journal, June 2005

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources
journal, March 2006

The Three-Dimensional Morphology of Growing Dendrites
journal, July 2015

Beyond crystallography: Diffractive imaging using coherent x-ray light sources
journal, April 2015

Unravelling biological macromolecules with cryo-electron microscopy
journal, September 2016

Nonlinear total variation based noise removal algorithms
journal, November 1992

Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
journal, August 2007

Compressed sensing
journal, April 2006

Deciphering chemical order/disorder and material properties at the single-atom level
journal, February 2017

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution
journal, March 2013

Three-dimensional structure determination from a single view
journal, December 2009

Visualizing virus assembly intermediates inside marine cyanobacteria
journal, October 2013

A two-dimensional interpolation function for irregularly-spaced data
conference, January 1968

Atomic electron tomography: 3D structures without crystals
journal, September 2016

Phase–contrast X–ray computed tomography for observing biological soft tissues
journal, April 1996

Single-Particle Cryo-EM at Crystallographic Resolution
journal, April 2015

The development of cryo-EM into a mainstream structural biology technique
journal, December 2015

Low-dose x-ray phase-contrast and absorption CT using equally sloped tomography
journal, August 2010

Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy
journal, June 2010

Measuring Lattice Strain in Three Dimensions through Electron Microscopy
journal, September 2015

On possible extensions of X-ray crystallography through diffraction-pattern oversampling
journal, November 2000

Dual-Axis Tomography: An Approach with Alignment Methods That Preserve Resolution
journal, December 1997

Three-dimensional imaging of chemical phase transformations at the nanoscale with full-field transmission X-ray microscopy
journal, July 2011

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography
journal, December 1970

Mo-Si-B Alloys for Ultrahigh-Temperature Structural Applications
journal, June 2012

Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects
journal, January 1998

Metrics for 3D Rotations: Comparison and Analysis
journal, June 2009

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006

Advanced Computing in Electron Microscopy
book, January 2010

Phase-contrast zoom tomography reveals precise locations of macrophages in mouse lungs
journal, May 2015

Structure of -galactosidase at 3.2-A resolution obtained by cryo-electron microscopy
journal, July 2014

Iterative methods for the three-dimensional reconstruction of an object from projections
journal, July 1972

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography
journal, November 2008

Ptychographic X-ray computed tomography at the nanoscale
journal, September 2010

Three-Dimensional $GaN − {Ga}_{2} O_{3}$ Core Shell Structure Revealed by X-Ray Diffraction Microscopy
journal, November 2006

Tomo3D 2.0 – Exploitation of Advanced Vector eXtensions (AVX) for 3D reconstruction
journal, February 2015

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography
journal, October 2015

Imaging cellular architecture with X-rays
journal, October 2010

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale
journal, September 2009

Three-Dimensional Electron Microscopy of Macromolecular Assemblies
book, January 2006

Compressed sensing electron tomography
journal, August 2013

A new view into prokaryotic cell biology from electron cryotomography
journal, February 2016

Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm
journal, January 1984

Fundamentals of Computerized Tomography
book, January 2009

High-resolution non-destructive three-dimensional imaging of integrated circuits
journal, March 2017

Principles of Computerized Tomographic Imaging
book, January 2001

Three-Dimensional Visualization of a Human Chromosome Using Coherent X-Ray Diffraction
journal, January 2009

Three-Dimensional Coherent X-Ray Diffraction Imaging of Molten Iron in Mantle Olivine at Nanoscale Resolution
journal, May 2013

Equally sloped tomography with oversampling reconstruction
journal, August 2005

Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction: Dose reduction in CT via Fourier-Based Iterative Reconstruction
journal, February 2013

Advanced Computing in Electron Microscopy
book, January 1998

Experimental demonstration of novel beam characterization using a polarizable X-band transverse deflection structure
journal, February 2021

Advanced Computing in Electron Microscopy
book, January 2020

Three-dimensional structure determination from a single view
text, January 2009

Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
preprint, January 2004

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography
journal, December 1970

Iterative methods for the three-dimensional reconstruction of an object from projections
journal, July 1972

An overview of convex projections theory and its application to image recovery problems
journal, January 1992

Ab initio phase determination and phase extension using non-crystallographic symmetry
journal, October 1995

Transient oxidation of Mo–Si–B alloys: Effect of the microstructure size scale
journal, September 2009

Single-Particle Cryo-EM at Crystallographic Resolution
journal, April 2015

Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography
journal, November 2008

Imaging cellular architecture with X-rays
journal, October 2010

Compressed sensing electron tomography
journal, August 2013

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

Three-dimensional structure determination from a single view
journal, December 2009

Ptychographic X-ray computed tomography at the nanoscale
journal, September 2010

Electron tomography at 2.4-ångström resolution
journal, March 2012

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution
journal, March 2013

Visualizing virus assembly intermediates inside marine cyanobacteria
journal, October 2013

Deciphering chemical order/disorder and material properties at the single-atom level
journal, February 2017

Formation of bimetallic clusters in superfluid helium nanodroplets analysed by atomic resolution electron tomography
journal, October 2015

Phase–contrast X–ray computed tomography for observing biological soft tissues
journal, April 1996

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources
journal, March 2006

Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy
journal, June 2010

High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers
journal, October 2012