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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 21 — Jul. 20, 2007
  • pp: 4686–4693

Multiframe deconvolution with space-variant point-spread functions by use of inverse filtering and fast Fourier transform

Mats G. Löfdahl  »View Author Affiliations

Applied Optics, Vol. 46, Issue 21, pp. 4686-4693 (2007)

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A procedure for deconvolution of multiple images of the same object with space-variant point-spread functions (PSFs) is presented. It is based on expressing deconvolution with inverse filtering as convolution with kernels corresponding to inverse PSFs. Sets of basis functions are made from these inverse PSFs, given at discrete sample points, through Karhunen–Loève (K–L) decomposition. The entire field of view can then be convolved with the K–L kernels. Coadding the results using continuous maps of expansion weights, interpolated for every pixel between the sample points, results in an image that is deconvolved with smoothly varying PSFs that match the discrete measurements. A demonstration data set is used to show how the transition between the grid points improves deconvolutions compared to piecewise deconvolution and mosaicking by avoiding the blending of discontinuities at the interfaces between adjacent subfields.

© 2007 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.1830) Image processing : Deconvolution
(100.2000) Image processing : Digital image processing
(100.3020) Image processing : Image reconstruction-restoration

ToC Category:
Image Processing

Original Manuscript: August 14, 2006
Revised Manuscript: January 22, 2007
Manuscript Accepted: April 18, 2007
Published: July 6, 2007

Mats G. Löfdahl, "Multiframe deconvolution with space-variant point-spread functions by use of inverse filtering and fast Fourier transform," Appl. Opt. 46, 4686-4693 (2007)

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