2007 IEEE International Conference on Image Processing 2007
DOI: 10.1109/icip.2007.4379262
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Blind Image Separation using Sparse Representation

Abstract: This paper focuses on the blind image separation using their sparse representation in an appropriate transform domain. A new separation method is proposed that proceeds in two steps: (i) an image pretreatment step to transform the original sources into sparse images and to reduce the mixture matrix to an orthogonal transform (ii) and a separation step that exploits the transformed image sparsity via an p-norm based contrast function. A simple and efficient natural gradient technique is used for the optimizatio… Show more

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Cited by 12 publications
(3 citation statements)
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References 14 publications
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“…, of size (m, n) are combined and those M linear mixtures of these original images are observed. These last mixtures can be modelized by the following linear system [4]:…”
Section: Mathematical Modelmentioning
confidence: 99%
“…, of size (m, n) are combined and those M linear mixtures of these original images are observed. These last mixtures can be modelized by the following linear system [4]:…”
Section: Mathematical Modelmentioning
confidence: 99%
“…It is interesting to note that, in many applications of image processing, a Laplacian operator is explicitly applied to an image in order to establish a sparse image representation [29], which can facilitate the solution of an inverse problem. However, in boundary-enhanced PCT, we observe that the Laplacian operator is implicitly administered by the wave propagation physics.…”
Section: Few-view Boundary-enhanced Image Reconstruction In Pctmentioning
confidence: 99%
“…In [77], this type of reflection mixture is handled using a cyclic permutation approach while in [78], a generalized mixture ratio is estimated for the image separation. In [79], an iterative sparse blind separation algorithm is employed.…”
Section: Image Decompositionmentioning
confidence: 99%