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  • Vol. 36, Iss. 11 — Jun. 1, 2011
  • pp: 2071–2073

Preconditioning for multidimensional TOMBO imaging

Ryoichi Horisaki and Jun Tanida  »View Author Affiliations


Optics Letters, Vol. 36, Issue 11, pp. 2071-2073 (2011)
http://dx.doi.org/10.1364/OL.36.002071


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Abstract

In this Letter, we propose a preconditioning method to improve the convergence speed of iterative reconstruction algorithms in a compact, multidimensional, compound-eye imaging system called the thin observation module by bound optics. The condition number of the system matrix is improved by using a preconditioner matrix. To calculate the preconditioner matrix, the system model is expressed in the frequency domain. The proposed method is simulated by using a compressive sensing algorithm called the two-step iterative shrinkage/thresholding algorithm. The results showed improved reconstruction fidelity with a certain number of iterations for high signal-to-noise ratio measurements.

© 2011 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(110.1758) Imaging systems : Computational imaging

ToC Category:
Imaging Systems

History
Original Manuscript: February 8, 2011
Revised Manuscript: April 12, 2011
Manuscript Accepted: April 26, 2011
Published: May 27, 2011

Citation
Ryoichi Horisaki and Jun Tanida, "Preconditioning for multidimensional TOMBO imaging," Opt. Lett. 36, 2071-2073 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-11-2071


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References

  1. R. Horisaki, K. Choi, J. Hahn, J. Tanida, and D. J. Brady, Opt. Express 18, 19367 (2010). [CrossRef] [PubMed]
  2. A. D. Portnoy, N. P. Pitsianis, X. Sun, and D. J. Brady, Appl. Opt. 47, B76 (2008). [CrossRef] [PubMed]
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  6. “The USC-SIPI Image Database,” http://sipi.usc.edu/database/.
  7. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), pp. 259–260.

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