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3D Tensor Factorization Approach to Single-frame Model-free Blind Image Deconvolution

Kopriva, Ivica (2009) 3D Tensor Factorization Approach to Single-frame Model-free Blind Image Deconvolution. Optics Letters, 34 (18). pp. 2835-2837. ISSN 0146-9592

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By applying bank of 2D Gabor filters to blurred image single frame blind image deconvolution (SF BID) is formulated as 3D tensor factorization (TF) problem with the key contribution that neither origin nor size of the spatially invariant blurring kernel is required to be known or estimated. Mixing matrix, original image and its spatial derivatives are identified from the factors in Tucker3 model of the multi-channel version of the blurred image. Previous approaches to 2D Gabor filter bank-based SF BID relied on 2D representation of the multi-channel version of the blurred image and matrix factorization methods such as nonnegative matrix factorization (NMF) and independent component analysis (ICA). Unlike matrix factorization-based methods 3D TF preserves local structure in the image. Moreover, 3D TF based on PARAFAC model is unique up to permutation and scale under very mild conditions. To achieve this, NMF and ICA respectively require enforcement of sparseness and statistical independence constraints on the original image and its spatial derivatives. These constraints are generally not satisfied. The 3D TF-based SF BID method is demonstrated on experimental defocused RGB image.

Item Type: Article
Additional Information: © 2009 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
Uncontrolled Keywords: Deconvolution, image reconstruction techniques; inverse problems; superresolution; three-dimensional image processing
Subjects: NATURAL SCIENCES > Mathematics > Applied Mathematics and Mathematical Modeling
TECHNICAL SCIENCES > Computing > Data Processing
Divisions: Division of Laser and Atomic Research and Development
Project titleProject leaderProject codeProject type
Multispectral data analysis (Analiza višespektralih podataka)-Ivica Kopriva098-0982903-2558MZOS
Depositing User: Ivica Kopriva
Date Deposited: 04 Dec 2015 08:02
DOI: 10.1364/OL.34.002835

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