Publications

• J. Bobin, J.-L. Starck, M.J. Fadili, and Y. Moudden, "Sparsity, Morphological Diversity and Blind Source Separation" , Vol 16, No 11, pp 2662-2674, 2007.
• J. Bobin, J.-L. Starck J. Fadili, Y. Moudden and D.L Donoho, "Morphological Component Analysis: an adaptative thresholding strategy", IEEE Transactions on Image Processing , Vol 16, No 11, pp 2675--2681, 2007.
• M.J. Fadili, J.-L. Starck and F. Murtagh, "Inpainting and Zooming using Sparse Representations" , The Computer Journal , in press.
• J. Bobin, Y. Moudden, J.-L. Starck and M. Elad, "Morphological Diversity and Source Separation", IEEE Transaction on Signal Processing , Vol 13, 7, pp 409--412, 2006.
• M. Elad, J.-L Starck, D. Donoho and P. Querre, "Simultaneous Cartoon and Texture Image Inpainting using Morphological Component Analysis (MCA)", Journal on Applied and Computational Harmonic Analysis ACHA , Vol. 19, pp. 340-358, November 2005.
• J.-L. Starck, M. Elad, and D.L. Donoho, "Image Decomposition Via the Combination of Sparse Representation and a Variational Approach", IEEE Transaction on Image Processing , 14, 10, 2005.
• J.-L. Starck, M. Elad, and D.L. Donoho, "Redundant Multiscale Transforms and their Application for Morphological Component Analysis", Advances in Imaging and Electron Physics , 132, 2004.

Software

MCA Experiments

• Simulation: decomposition on the curvelet transform + a trous wavelet transform

• Galaxy NGC2997: decomposition on a ridgelet transform + a trous wavelet transform

• Gravitational arc A370 (HST data): decomposition on the curvelet transform + ridgelet transform + a trous wavelet transform

• Galaxy SBS 0335-052 (Gemini data, 10 micron): decomposition on the curvelet transform + ridgelet transform + a trous wavelet transform

• Galaxy SBS 0335-052 (Gemini data, 20 micron): decomposition on the curvelet transform + ridgelet transform + a trous wavelet transform

Texture Separation

• Boy image: decomposition on the curvelet transform + DCT

• Application to edge detection.

• Barbara image: decomposition on the curvelet transform + DCT

• Boy image + Noise: decomposition on the curvelet transform + DCT

• Boy image

• Barbara image

• Cosmic Microwave Background

• Multichannel Morphological Component Analysis (MMCA).
• Generalized Morphological Component Analysis (GMCA).

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  See also

  • Jalal Fadili home page

    • 1D and 2D MCA MATLAB code can be downloaded.
    • Other MCA experiments are also available.

  • Michael Elad web page

  • Jerome Bobin web page

    • More MCA experiments, including AUDIO exemples.
    • Multichannel Morphological Component Analysis (MMCA).
    • Generalized Morphological Component Analysis (GMCA).

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  Last modified: November, 2007