Gridrec-MS: an algorithm for multi-slice tomography
Abstract
Advances in imaging systems and modeling allow for depth information to be retrieved from projections via virtual sectioning of the imaged object. Here we introduce a regridding method that explicitly and directly incorporates this information into a general and non-iterative tomographic reconstruction algorithm. The method is applicable to any imaging scheme that provides depth-resolved projections. Additionally, we show, via numerical simulations, that with this method the required number of projections for adequate angular sampling can be reduced.
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States); Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Sponsoring Org.:
- USDOE; Swiss National Science Foundation (SNSF)
- OSTI Identifier:
- 1507813
- Alternate Identifier(s):
- OSTI ID: 1507602; OSTI ID: 1513219
- Report Number(s):
- BNL-211595-2019-JAAM
Journal ID: ISSN 0146-9592; OPLEDP
- Grant/Contract Number:
- SC0012704; 200020_169623; 200021_152554
- Resource Type:
- Published Article
- Journal Name:
- Optics Letters
- Additional Journal Information:
- Journal Name: Optics Letters Journal Volume: 44 Journal Issue: 9; Journal ID: ISSN 0146-9592
- Publisher:
- Optical Society of America
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 47 OTHER INSTRUMENTATION; fast Fourier transforms; Fourier transforms; image processing; image quality; imaging systems; numerical simulation
Citation Formats
Tsai, Esther H. R., Marone, Federica, and Guizar-Sicairos, Manuel. Gridrec-MS: an algorithm for multi-slice tomography. United States: N. p., 2019.
Web. doi:10.1364/OL.44.002181.
Tsai, Esther H. R., Marone, Federica, & Guizar-Sicairos, Manuel. Gridrec-MS: an algorithm for multi-slice tomography. United States. https://doi.org/10.1364/OL.44.002181
Tsai, Esther H. R., Marone, Federica, and Guizar-Sicairos, Manuel. Fri .
"Gridrec-MS: an algorithm for multi-slice tomography". United States. https://doi.org/10.1364/OL.44.002181.
@article{osti_1507813,
title = {Gridrec-MS: an algorithm for multi-slice tomography},
author = {Tsai, Esther H. R. and Marone, Federica and Guizar-Sicairos, Manuel},
abstractNote = {Advances in imaging systems and modeling allow for depth information to be retrieved from projections via virtual sectioning of the imaged object. Here we introduce a regridding method that explicitly and directly incorporates this information into a general and non-iterative tomographic reconstruction algorithm. The method is applicable to any imaging scheme that provides depth-resolved projections. Additionally, we show, via numerical simulations, that with this method the required number of projections for adequate angular sampling can be reduced.},
doi = {10.1364/OL.44.002181},
journal = {Optics Letters},
number = 9,
volume = 44,
place = {United States},
year = {2019},
month = {4}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1364/OL.44.002181
https://doi.org/10.1364/OL.44.002181
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
Fig. 1: Illustration of the Fourier space coverage for (a) conventional projection tomography and (b) multi-slice tomography with M = 3. A depth-resolved projection has a dimension of M by T and, with the multi-slice method, its 2D Fourier transform is thickened by M compared to that of the conventionalmore »
All figures and tables
(4 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Optical sectioning microscopy
journal, November 2005
- Conchello, José-Angel; Lichtman, Jeff W.
- Nature Methods, Vol. 2, Issue 12
Three-dimensional iterative multislice reconstruction for ptychographic X-ray computed tomography
journal, January 2018
- Shimomura, Kei; Hirose, Makoto; Higashino, Takaya
- Optics Express, Vol. 26, Issue 24
Multi-slice ptychographic tomography
journal, February 2018
- Li, Peng; Maiden, Andrew
- Scientific Reports, Vol. 8, Issue 1
Precession x-ray ptychography with multislice approach
journal, June 2015
- Shimomura, Kei; Suzuki, Akihiro; Hirose, Makoto
- Physical Review B, Vol. 91, Issue 21
Prolate spheroidal wavefunctions, quadrature and interpolation
journal, July 2001
- Xiao, H.; Rokhlin, V.; Yarvin, N.
- Inverse Problems, Vol. 17, Issue 4
Ptychographic transmission microscopy in three dimensions using a multi-slice approach
journal, January 2012
- Maiden, A. M.; Humphry, M. J.; Rodenburg, J. M.
- Journal of the Optical Society of America A, Vol. 29, Issue 8
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
Fourier shell correlation threshold criteria
journal, September 2005
- van Heel, Marin; Schatz, Michael
- Journal of Structural Biology, Vol. 151, Issue 3
Light field microscopy
journal, July 2006
- Levoy, Marc; Ng, Ren; Adams, Andrew
- ACM Transactions on Graphics, Vol. 25, Issue 3
The Reconstruction of a Three-Dimensional Structure from Projections and its Application to Electron Microscopy
journal, June 1970
- Crowther, R. A.; DeRosier, D. J.; Klug, A.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 317, Issue 1530
Confocal optical microscopy
journal, March 1996
- Webb, Robert H.
- Reports on Progress in Physics, Vol. 59, Issue 3
Relaxation of the Crowther criterion in multislice tomography
journal, January 2018
- Jacobsen, Chris
- Optics Letters, Vol. 43, Issue 19
Multi-view image fusion improves resolution in three-dimensional microscopy
journal, January 2007
- Swoger, Jim; Verveer, Peter; Greger, Klaus
- Optics Express, Vol. 15, Issue 13
Regridding reconstruction algorithm for real-time tomographic imaging
journal, September 2012
- Marone, F.; Stampanoni, M.
- Journal of Synchrotron Radiation, Vol. 19, Issue 6
3D x-ray imaging of continuous objects beyond the depth of focus limit
journal, January 2018
- Gilles, M. A.; Nashed, Y. S. G.; Du, M.
- Optica, Vol. 5, Issue 9
Tilted view reconstruction in optical microscopy. Three-dimensional reconstruction of Drosophila melanogaster embryo nuclei
journal, January 1989
- Shaw, P. J.; Agard, D. A.; Hiraoka, Y.
- Biophysical Journal, Vol. 55, Issue 1
X-ray ptychography with extended depth of field
journal, January 2016
- Tsai, Esther H. R.; Usov, Ivan; Diaz, Ana
- Optics Express, Vol. 24, Issue 25
Extended Depth of Field for High-Resolution Scanning Transmission Electron Microscopy
journal, December 2010
- Hovden, Robert; Xin, Huolin L.; Muller, David A.
- Microscopy and Microanalysis, Vol. 17, Issue 1
An algorithm for the machine calculation of complex Fourier series
journal, May 1965
- Cooley, James W.; Tukey, John W.
- Mathematics of Computation, Vol. 19, Issue 90
Method of obtaining optical sectioning by using structured light in a conventional microscope
journal, January 1997
- Neil, M. A. A.; Juškaitis, R.; Wilson, T.
- Optics Letters, Vol. 22, Issue 24
Developments in synchrotron x-ray computed microtomography at the National Synchrotron Light Source
conference, September 1999
- Dowd, Betsy A.; Campbell, Graham H.; Marr, Robert B.
- SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, SPIE Proceedings
Multiple imaging axis microscopy improves resolution for thick-sample applications
journal, January 2003
- Swoger, Jim; Huisken, Jan; Stelzer, Ernst H. K.
- Optics Letters, Vol. 28, Issue 18
Extended depth of field through wave-front coding
journal, January 1995
- Dowski, Edward R.; Cathey, W. Thomas
- Applied Optics, Vol. 34, Issue 11
Multislice imaging of integrated circuits by precession X-ray ptychography
journal, January 2018
- Shimomura, Kei; Hirose, Makoto; Takahashi, Yukio
- Acta Crystallographica Section A Foundations and Advances, Vol. 74, Issue 1
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
journal, January 1961
- Slepian, D.; Pollak, H. O.
- Bell System Technical Journal, Vol. 40, Issue 1
A Fast Sinc Function Gridding Algorithm for Fourier Inversion in Computer Tomography
journal, December 1985
- O'Sullivan, J. D.
- IEEE Transactions on Medical Imaging, Vol. 4, Issue 4
High-Resolution Multislice X-Ray Ptychography of Extended Thick Objects
journal, February 2014
- Suzuki, Akihiro; Furutaku, Shin; Shimomura, Kei
- Physical Review Letters, Vol. 112, Issue 5
Phase-shift estimation in sinusoidally illuminated images for lateral superresolution
journal, January 2009
- Shroff, Sapna A.; Fienup, James R.; Williams, David R.
- Journal of the Optical Society of America A, Vol. 26, Issue 2
Works referencing / citing this record:
Coupled ptychography and tomography algorithm improves reconstruction of experimental data
journal, January 2019
- Kahnt, Maik; Becher, Johannes; Brückner, Dennis
- Optica, Vol. 6, Issue 10
Coupled ptychography and tomography algorithm improves reconstruction of experimental data
journal, January 2019
- Kahnt, Maik; Becher, Johannes; Brückner, Dennis
- Optica, Vol. 6, Issue 10
Coupled ptychography and tomography algorithm improves reconstruction of experimental data
text, January 2019
- Kahnt, Maik; Becher, Johannes; Brückner, Dennis
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.