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Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 5, Iss. 5 — May. 1, 2014
  • pp: 1363–1377

Basis pursuit deconvolution for improving model-based reconstructed images in photoacoustic tomography

Jaya Prakash, Aditi Subramani Raju, Calvin B. Shaw, Manojit Pramanik, and Phaneendra K. Yalavarthy  »View Author Affiliations


Biomedical Optics Express, Vol. 5, Issue 5, pp. 1363-1377 (2014)
http://dx.doi.org/10.1364/BOE.5.001363


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Abstract

The model-based image reconstruction approaches in photoacoustic tomography have a distinct advantage compared to traditional analytical methods for cases where limited data is available. These methods typically deploy Tikhonov based regularization scheme to reconstruct the initial pressure from the boundary acoustic data. The model-resolution for these cases represents the blur induced by the regularization scheme. A method that utilizes this blurring model and performs the basis pursuit deconvolution to improve the quantitative accuracy of the reconstructed photoacoustic image is proposed and shown to be superior compared to other traditional methods via three numerical experiments. Moreover, this deconvolution including the building of an approximate blur matrix is achieved via the Lanczos bidagonalization (least-squares QR) making this approach attractive in real-time.

© 2014 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.5120) Medical optics and biotechnology : Photoacoustic imaging

ToC Category:
Image Reconstruction and Inverse Problems

History
Original Manuscript: January 6, 2014
Revised Manuscript: February 18, 2014
Manuscript Accepted: March 17, 2014
Published: April 2, 2014

Citation
Jaya Prakash, Aditi Subramani Raju, Calvin B. Shaw, Manojit Pramanik, and Phaneendra K. Yalavarthy, "Basis pursuit deconvolution for improving model-based reconstructed images in photoacoustic tomography," Biomed. Opt. Express 5, 1363-1377 (2014)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-5-5-1363


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