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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 32 — Nov. 10, 2003
  • pp: 6488–6494

A method for local deconvolution

Timur E. Gureyev, Yakov I. Nesterets, Andrew W. Stevenson, and Stephen W. Wilkins  »View Author Affiliations


Applied Optics, Vol. 42, Issue 32, pp. 6488-6494 (2003)
http://dx.doi.org/10.1364/AO.42.006488


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Abstract

A new method for deconvolution of one-dimensional and multidimensional data is suggested. The proposed algorithm is local in the sense that the deconvolved data at a given point depend only on the value of the experimental data and their derivatives at the same point. In a regularized version of the algorithm the deconvolution is constructed iteratively with the help of an approximate deconvolution operator that requires only the low-order derivatives of the data and low-order integral moments of the point-spread function. This algorithm is expected to be particularly useful in applications in which only partial knowledge of the point-spread function is available. We tested and compared the proposed method with some of the popular deconvolution algorithms using simulated data with various levels of noise.

© 2003 Optical Society of America

OCIS Codes
(100.1830) Image processing : Deconvolution
(100.2980) Image processing : Image enhancement
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.6640) Image processing : Superresolution

History
Original Manuscript: May 1, 2003
Revised Manuscript: July 15, 2003
Published: November 10, 2003

Citation
Timur E. Gureyev, Yakov I. Nesterets, Andrew W. Stevenson, and Stephen W. Wilkins, "A method for local deconvolution," Appl. Opt. 42, 6488-6494 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-32-6488

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