Hybrid blind deconvolution of images using variable splitting and proximal point methods | IEEE Conference Publication | IEEE Xplore

Hybrid blind deconvolution of images using variable splitting and proximal point methods


Abstract:

The problem of blind deconvolution of digital images has long been recognized as one of the central problems in imaging science. In this paper, the problem is solved usin...Show More

Abstract:

The problem of blind deconvolution of digital images has long been recognized as one of the central problems in imaging science. In this paper, the problem is solved using a hybrid deconvolution approach. Here, the “hybridization” suggests a two-stage reconstruction procedure. In the first stage, some partial information about the point spread function of the imaging system (namely, its magnitude spectrum) is recovered. Subsequently, the obtained information is exploited to explicitly constrain the procedure of inverse filtering. The latter is realized in the form of an optimization problem which is solved using alternating direction method of multipliers (ADMM). We show that this method leads to a particularly efficient numerical scheme, which can be implemented as a succession of analytically computable proximity operations. The effectiveness of the proposed deconvolution procedure is exemplified by a number of computer experiments.
Date of Conference: 11-14 September 2011
Date Added to IEEE Xplore: 29 December 2011
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Conference Location: Brussels, Belgium

References

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