NDLI: Perfect blind restoration of images blurred by multiple filters: theory and efficient algorithms

Content Provider	IEEE Xplore Digital Library
Author	Harikumar, G. Bresler, Y.
Copyright Year	1992
Abstract	We address the problem of restoring an image from its noisy convolutions with two or more unknown finite impulse response (FIR) filters. We develop theoretical results about the existence and uniqueness of solutions, and show that under some generically true assumptions, both the filters and the image can be determined exactly in the absence of noise, and stably estimated in its presence. We present efficient algorithms to estimate the blur functions and their sizes. These algorithms are of two types, subspace-based and likelihood-based, and are extensions of techniques proposed for the solution of the multichannel blind deconvolution problem in one dimension. We present memory and computation-efficient techniques to handle the very large matrices arising in the two-dimensional (2-D) case. Once the blur functions are determined, they are used in a multichannel deconvolution step to reconstruct the unknown image. The theoretical and practical implications of edge effects, and "weakly exciting" images are examined. Finally, the algorithms are demonstrated on synthetic and real data.
Sponsorship	IEEE Signal Processing Society
Starting Page	202
Ending Page	219
Page Count	18
File Size	1155983
File Format	PDF
ISSN	10577149
Volume Number	8
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image restoration Filtering theory Deconvolution Finite impulse response filter Frequency Information filtering Information filters Image reconstruction Two dimensional displays Inverse problems
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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