Block based Kalman filter algorithm for blind image separation using sparsity measure

This paper presents blind image separation using Kalman filter algorithm. Blind image separation is concerned with recovering the original source images given the sources being mixed with an unknown medium. Kalman filter provides optimal recursive solution to the estimation of the unknown mixture. A novel method called block Kalman filter is used for effectively extracting the images from the mixed images. The observed image is transformed into sparse blocks and the best block is selected using sparsity measure ℓ0 norm as a cost function. Experimental results suggest that the proposed method provides significant separation compared to the Infomax algorithm. Performance evaluation results are presented.

[1]  H Farid,et al.  Separating reflections from images by use of independent component analysis. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Erkki Oja,et al.  Independent component analysis: algorithms and applications , 2000, Neural Networks.

[3]  M. Jyothirmayi,et al.  Blind Source Separation Using Hessian Evaluation , 2012 .

[4]  Shun-ichi Amari,et al.  Natural Gradient Works Efficiently in Learning , 1998, Neural Computation.

[5]  Erkki Oja,et al.  The nonlinear PCA criterion in blind source separation: Relations with other approaches , 1998, Neurocomputing.

[6]  Barak A. Pearlmutter,et al.  Blind source separation by sparse decomposition , 2000, SPIE Defense + Commercial Sensing.

[7]  Aapo Hyvärinen,et al.  Independent Component Analysis: A Tutorial , 1999 .

[8]  Xianda Zhang,et al.  Kalman filtering algorithm for blind source separation , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[9]  Yuanqing Li,et al.  Sparse Representation and Its Applications in Blind Source Separation , 2003, NIPS.

[10]  Azeddine Beghdadi,et al.  Blind Image Separation using Sparse Representation , 2007, 2007 IEEE International Conference on Image Processing.

[11]  Michael Elad,et al.  Stable recovery of sparse overcomplete representations in the presence of noise , 2006, IEEE Transactions on Information Theory.