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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 19 — Sep. 13, 2010
  • pp: 19462–19478

Microscopy image resolution improvement by deconvolution of complex fields

Yann Cotte, M. Fatih Toy, Nicolas Pavillon, and Christian Depeursinge  »View Author Affiliations


Optics Express, Vol. 18, Issue 19, pp. 19462-19478 (2010)
http://dx.doi.org/10.1364/OE.18.019462


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Abstract

Based on truncated inverse filtering, a theory for deconvolution of complex fields is studied. The validity of the theory is verified by comparing with experimental data from digital holographic microscopy (DHM) using a high-NA system (NA=0.95). Comparison with standard intensity deconvolution reveals that only complex deconvolution deals correctly with coherent cross-talk. With improved image resolution, complex deconvolution is demonstrated to exceed the Rayleigh limit. Gain in resolution arises by accessing the objects complex field - containing the information encoded in the phase - and deconvolving it with the reconstructed complex transfer function (CTF). Synthetic (based on Debye theory modeled with experimental parameters of MO) and experimental amplitude point spread functions (APSF) are used for the CTF reconstruction and compared. Thus, the optical system used for microscopy is characterized quantitatively by its APSF. The role of noise is discussed in the context of complex field deconvolution. As further results, we demonstrate that complex deconvolution does not require any additional optics in the DHM setup while extending the limit of resolution with coherent illumination by a factor of at least 1.64.

© 2010 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(100.1830) Image processing : Deconvolution
(100.5070) Image processing : Phase retrieval
(100.6640) Image processing : Superresolution
(110.0180) Imaging systems : Microscopy
(090.1995) Holography : Digital holography

ToC Category:
Image Processing

History
Original Manuscript: June 11, 2010
Revised Manuscript: July 26, 2010
Manuscript Accepted: August 25, 2010
Published: August 30, 2010

Virtual Issues
Vol. 5, Iss. 13 Virtual Journal for Biomedical Optics

Citation
Yann Cotte, M. Fatih Toy, Nicolas Pavillon, and Christian Depeursinge, "Microscopy image resolution improvement by deconvolution of complex fields," Opt. Express 18, 19462-19478 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-19-19462


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