Blind Multi-spectral Image Decomposition by 3D Nonnegative Tensor Factorization

Kopriva, Ivica; Cichocki, Andrzej (2009) Blind Multi-spectral Image Decomposition by 3D Nonnegative Tensor Factorization. Optics Letters, 34 (14). pp. 2210-2212. ISSN 0146-9592

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Abstract

Alpha-divergence based nonnegative tensor factorization (NTF) is applied to blind multi-spectral image (MSI) decomposition. Matrix of spectral profiles and matrix of spatial distributions of the materials resident in the image are identified from the factors in Tucker3 and PARAFAC models. NTF preserves local structure in the MSI that is lost, due to vectorization of the image, with nonnegative matrix factorization (NMF)- or independent component analysis (ICA)-based decompositions. Moreover, NTF based on PARAFAC model is unique up to permutation and scale under mild conditions. To achieve this, NMF- and ICA-based factorizations respectively require enforcement of sparseness (orthogonality) and statistical independence constraints on the spatial distributions of the materials resident in the MSI, and that is not true. We demonstrate efficiency of the NTF-based factorization in relation to NMF- and ICA-based factorizations on blind decomposition of the experimental MSI with the known ground truth.

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:	image analysis; inverse problems; three-dimensional image processing; three-dimensional sensing; medical and biological imaging
Subjects:	NATURAL SCIENCES > Mathematics > Applied Mathematics and Mathematical Modeling TECHNICAL SCIENCES > Computing > Data Processing
Divisions:	Division of Laser and Atomic Research and Development
Projects:	Project title Project leader Project code Project type Multispectral data analysis (Analiza višespektralih podataka)- Ivica Kopriva 098-0982903-2558 MZOS
Depositing User:	Ivica Kopriva
Date Deposited:	04 Dec 2015 08:21
URI:	http://fulir.irb.hr/id/eprint/2377
DOI:	10.1364/OL.34.002210

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