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Compressed sampling strategies for tomography.

Publication ,  Journal Article
Kaganovsky, Y; Li, D; Holmgren, A; Jeon, H; MacCabe, KP; Politte, DG; O'Sullivan, JA; Carin, L; Brady, DJ
Published in: Journal of the Optical Society of America. A, Optics, image science, and vision
July 2014

We investigate new sampling strategies for projection tomography, enabling one to employ fewer measurements than expected from classical sampling theory without significant loss of information. Inspired by compressed sensing, our approach is based on the understanding that many real objects are compressible in some known representation, implying that the number of degrees of freedom defining an object is often much smaller than the number of pixels/voxels. We propose a new approach based on quasi-random detector subsampling, whereas previous approaches only addressed subsampling with respect to source location (view angle). The performance of different sampling strategies is considered using object-independent figures of merit, and also based on reconstructions for specific objects, with synthetic and real data. The proposed approach can be implemented using a structured illumination of the interrogated object or the detector array by placing a coded aperture/mask at the source or detector side, respectively. Advantages of the proposed approach include (i) for structured illumination of the detector array, it leads to fewer detector pixels and allows one to integrate detectors for scattered radiation in the unused space; (ii) for structured illumination of the object, it leads to a reduced radiation dose for patients in medical scans; (iii) in the latter case, the blocking of rays reduces scattered radiation while keeping the same energy in the transmitted rays, resulting in a higher signal-to-noise ratio than that achieved by lowering exposure times or the energy of the source; (iv) compared to view-angle subsampling, it allows one to use fewer measurements for the same image quality, or leads to better image quality for the same number of measurements. The proposed approach can also be combined with view-angle subsampling.

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Published In

Journal of the Optical Society of America. A, Optics, image science, and vision

DOI

EISSN

1520-8532

ISSN

1084-7529

Publication Date

July 2014

Volume

31

Issue

7

Start / End Page

1369 / 1394

Related Subject Headings

  • Optics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1113 Opthalmology and Optometry
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

Citation

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Kaganovsky, Y., Li, D., Holmgren, A., Jeon, H., MacCabe, K. P., Politte, D. G., … Brady, D. J. (2014). Compressed sampling strategies for tomography. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 31(7), 1369–1394. https://doi.org/10.1364/josaa.31.001369
Kaganovsky, Yan, Daheng Li, Andrew Holmgren, HyungJu Jeon, Kenneth P. MacCabe, David G. Politte, Joseph A. O’Sullivan, Lawrence Carin, and David J. Brady. “Compressed sampling strategies for tomography.Journal of the Optical Society of America. A, Optics, Image Science, and Vision 31, no. 7 (July 2014): 1369–94. https://doi.org/10.1364/josaa.31.001369.
Kaganovsky Y, Li D, Holmgren A, Jeon H, MacCabe KP, Politte DG, et al. Compressed sampling strategies for tomography. Journal of the Optical Society of America A, Optics, image science, and vision. 2014 Jul;31(7):1369–94.
Kaganovsky, Yan, et al. “Compressed sampling strategies for tomography.Journal of the Optical Society of America. A, Optics, Image Science, and Vision, vol. 31, no. 7, July 2014, pp. 1369–94. Epmc, doi:10.1364/josaa.31.001369.
Kaganovsky Y, Li D, Holmgren A, Jeon H, MacCabe KP, Politte DG, O’Sullivan JA, Carin L, Brady DJ. Compressed sampling strategies for tomography. Journal of the Optical Society of America A, Optics, image science, and vision. 2014 Jul;31(7):1369–1394.
Journal cover image

Published In

Journal of the Optical Society of America. A, Optics, image science, and vision

DOI

EISSN

1520-8532

ISSN

1084-7529

Publication Date

July 2014

Volume

31

Issue

7

Start / End Page

1369 / 1394

Related Subject Headings

  • Optics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1113 Opthalmology and Optometry
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics