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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 1 — Feb. 4, 2013

Optimal sparsifying bases for frequency-domain optical-coherence tomography

Rohit Nayak and Chandra Sekhar Seelamantula  »View Author Affiliations


Optics Letters, Vol. 37, Issue 23, pp. 4907-4909 (2012)
http://dx.doi.org/10.1364/OL.37.004907


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Abstract

We address the reconstruction problem in frequency-domain optical-coherence tomography (FDOCT) from undersampled measurements within the framework of compressed sensing (CS). Specifically, we propose optimal sparsifying bases for accurate reconstruction by analyzing the backscattered signal model. Although one might expect Fourier bases to be optimal for the FDOCT reconstruction problem, it turns out that the optimal sparsifying bases are windowed cosine functions where the window is the magnitude spectrum of the laser source. Further, the windowed cosine bases can be phase locked, which allows one to obtain higher accuracy in reconstruction. We present experimental validations on real data. The findings reported in this Letter are useful for optimal dictionary design within the framework of CS-FDOCT.

© 2012 Optical Society of America

OCIS Codes
(110.4500) Imaging systems : Optical coherence tomography
(180.1655) Microscopy : Coherence tomography
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: July 23, 2012
Revised Manuscript: October 20, 2012
Manuscript Accepted: October 22, 2012
Published: November 27, 2012

Virtual Issues
Vol. 8, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Rohit Nayak and Chandra Sekhar Seelamantula, "Optimal sparsifying bases for frequency-domain optical-coherence tomography," Opt. Lett. 37, 4907-4909 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ol-37-23-4907

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