Morphological component analysis
作者： J.-L. Starck , Y. Moudden , J. Bobin , M. Elad , D. L. Donoho
DOI: 10.1117/12.615237
关键词: Inpainting 、 Range (mathematics) 、 Computer vision 、 Texture (music) 、 Computer science 、 Artificial intelligence 、 Piecewise 、 Morphological component analysis 、 Pattern recognition 、 Image texture
摘要: The Morphological Component Analysis (MCA) is a new method which allows us to separate features contained in an image when these present different morphological aspects. We show that MCA can be very useful for decomposing images into texture and piecewise smooth (cartoon) parts or inpainting applications. extend multichannel (MMCA) analyzing multispectral data range of examples illustrates the results.
harvard.edu
semanticscholar.org 
sci-hub.se 参考文章(26)
Antonin Chambolle, Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud, Image decomposition: application to textured images and SAR images INRIA. ,(2003)
Luminita A. Vese, Stanley J. Osher, Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing Journal of Scientific Computing. ,vol. 19, pp. 553- 572 ,(2003) , 10.1023/A:1025384832106
Erkki Oja, Aapo Hyvarinen, Juha Karhunen, Independent Component Analysis ,(2001)
Jean-Luc Starck, Michael Elad, David Donoho, Redundant Multiscale Transforms and Their Application for Morphological Component Separation Advances in Imaging and Electron Physics. ,vol. 132, pp. 287- 348 ,(2004) , 10.1016/S1076-5670(04)32006-9
Rémi Gribonval, Michael A. Nielsen, Some remarks on non-linear approximation with Schauder bases East Journal on Approximations. ,vol. 7, pp. 267- 285 ,(2001)
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders, Atomic Decomposition by Basis Pursuit SIAM Journal on Scientific Computing. ,vol. 20, pp. 33- 61 ,(1998) , 10.1137/S1064827596304010
M. Elad, J.-L. Starck, P. Querre, D.L. Donoho, Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA) Applied and Computational Harmonic Analysis. ,vol. 19, pp. 340- 358 ,(2005) , 10.1016/J.ACHA.2005.03.005
Jean-Luc Starck, Fionn D. Murtagh, Albert Bijaoui, Image processing and data analysis: the multiscale approach Journal of the American Statistical Association. ,vol. 94, pp. 1389- ,(1998) , 10.1017/CBO9780511564352
Emmanuel J. Candès, David L. Donoho, Ridgelets: a key to higher-dimensional intermittency? Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences. ,vol. 357, pp. 2495- 2509 ,(1999) , 10.1098/RSTA.1999.0444
J.-F. Cardoso, G. Patanchon, Jacques Delabrouille, Multidetector multicomponent spectral matching and applications for cosmic microwave background data analysis Monthly Notices of the Royal Astronomical Society. ,vol. 346, pp. 1089- 1102 ,(2003) , 10.1111/J.1365-2966.2003.07069.X