Morphological Component Analysis
MCA Home Page
Publications Papers related to the following experiments:
- J.L. Starck, F. Murtagh, and J. Fadili, Sparse Image and Signal Processing: Wavelets, Curvelets, Morphological Diversity , Cambridge University Press, Cambridge (GB), 2010. (ISBN-10: 0521119138; 336-pp. monograph).
- 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, pp 1570--1582, 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.
MCA Experiments Experiments relative to the MCA method for image decomposition, texture extraction, edge detection and inpainting.
Image Decomposition
- 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
Inpainting
Last modified: March, 2015