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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 11 — Nov. 26, 2007

Focus detection from digital in-line holograms based on spectral l 1 norms

Weichang Li, Nick C. Loomis, Qiao Hu, and Cabell S. Davis  »View Author Affiliations


JOSA A, Vol. 24, Issue 10, pp. 3054-3062 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003054


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Abstract

A rapid focus-detection technique based directly on the spectral content of digital holograms is developed. It differs from previous approaches in that it does not need a full reconstruction of the image. The technique uses l 1 norms of object spectral components associated with the real and imaginary parts of the reconstruction kernel. Further, the l 1 norms can be computed efficiently in the spatial frequency domain using a polar coordinate system, yielding a drastic speedup of 2 orders of magnitude compared with image-based focus detection. Significant computational savings are achieved when subsequent image reconstructions are done selectively over the detected focus distances. Focus-detection results from holograms of plankton are demonstrated that show the technique is both accurate and robust.

© 2007 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(090.0090) Holography : Holography
(100.3010) Image processing : Image reconstruction techniques
(100.6890) Image processing : Three-dimensional image processing
(110.3000) Imaging systems : Image quality assessment
(170.3010) Medical optics and biotechnology : Image reconstruction techniques

ToC Category:
Holography

History
Original Manuscript: February 15, 2007
Manuscript Accepted: May 16, 2007
Published: September 6, 2007

Virtual Issues
Vol. 2, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Weichang Li, Nick C. Loomis, Qiao Hu, and Cabell S. Davis, "Focus detection from digital in-line holograms based on spectral l1 norms," J. Opt. Soc. Am. A 24, 3054-3062 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-24-10-3054

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