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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • 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)

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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:

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

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)

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