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Tensor factorization for model-free space-variant blind deconvolution of the single- and multi-frame multi-spectral image

Kopriva, Ivica (2010) Tensor factorization for model-free space-variant blind deconvolution of the single- and multi-frame multi-spectral image. Optics express, 18 (17). pp. 17819-17833. ISSN 1094-4087

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The higher order orthogonal iteration (HOOI) is used for a single-frame and multi-frame space-variant blind deconvolution (BD) performed by factorization of the tensor of blurred multi-spectral image (MSI). This is achieved by conversion of BD into blind source separation (BSS), whereupon sources represent the original image and its spatial derivatives. The HOOI-based factorization enables an essentially unique solution of the related BSS problem with orthogonality constraints imposed on factors and the core tensor of the Tucker3 model of the image tensor. In contrast, the matrix factorization-based unique solution of the same BSS problem demands sources to be statistically independent or sparse which is not true. The consequence of such an approach to BD is that it virtually does not require a priori information about the possibly space-variant point spread function (PSF): neither its model nor size of its support. For the space-variant BD problem, MSI is divided into blocks whereupon the PSF is assumed to be a space-invariant within the blocks. The success of proposed concept is demonstrated in experimentally degraded images: defocused single-frame gray scale and red-green-blue (RGB) images, single-frame gray scale and RGB images blurred by atmospheric turbulence, and a single-frame RGB image blurred by a grating (photon sieve). A comparable or better performance is demonstrated in relation to the blind Richardson-Lucy algorithm which, however, requires a priori information about parametric model of the blur.

Item Type: Article
Uncontrolled Keywords: superresolution; image reconstruction techniques; deconvolution; inverse problems; 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: 24 Nov 2015 16:54
DOI: 10.1364/OE.18.017819

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