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Volumn 13, Issue 6, 2007, Pages 729-748

Morphological component analysis and inpainting on the sphere: Application in physics and astrophysics

Author keywords

Inpainting; Morphological component analysis; Sparse representation; Spherical data

Indexed keywords


EID: 35548931553     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6908-x     Document Type: Article
Times cited : (63)

References (60)
  • 1
    • 35548971923 scopus 로고    scopus 로고
    • Modem: Morphological diversity extraction method to identify, classify and characterize surface defects of spherical icf targets via afm and phase shifting diffraction interferometry
    • San Diego, CA
    • Afeyan, B., Won, K., Starck, J. L., Stevens, R., Mapoles, E., Johnson, M., and Haan, S. (2006). Modem: Morphological diversity extraction method to identify, classify and characterize surface defects of spherical icf targets via afm and phase shifting diffraction interferometry, in Proceedings of the 17th Target Fabrication Meeting, San Diego, CA, 1-5.
    • (2006) Proceedings of the 17th Target Fabrication Meeting , pp. 1-5
    • Afeyan, B.1    Won, K.2    Starck, J.L.3    Stevens, R.4    Mapoles, E.5    Johnson, M.6    Haan, S.7
  • 2
    • 0043242765 scopus 로고    scopus 로고
    • Wavelets on the 2-sphere: A group-theoretical approach
    • Antoine, J.-P. and Vandergheynst, P. (1999). Wavelets on the 2-sphere: A group-theoretical approach, Appl. Comput. Harmon, Anal. 7(3), 262-291.
    • (1999) Appl. Comput. Harmon, Anal , vol.7 , Issue.3 , pp. 262-291
    • Antoine, J.-P.1    Vandergheynst, P.2
  • 10
    • 0003152552 scopus 로고    scopus 로고
    • Foregrounds and CMB experiments I. Semi-analytical estimates of contamination
    • Bouchet, F. R. and Gispert, R. (1999). Foregrounds and CMB experiments I. Semi-analytical estimates of contamination, New Astronomy 4, 443-479.
    • (1999) New Astronomy , vol.4 , pp. 443-479
    • Bouchet, F.R.1    Gispert, R.2
  • 14
    • 0035198053 scopus 로고    scopus 로고
    • Curvelets and curvilinear integrals
    • Candès, E. and Donoho, D. (2001). Curvelets and curvilinear integrals, J. Approx. Theory 113(1), 59-90.
    • (2001) J. Approx. Theory , vol.113 , Issue.1 , pp. 59-90
    • Candès, E.1    Donoho, D.2
  • 15
    • 0001184615 scopus 로고    scopus 로고
    • Harmonic analysis of neural netwoks
    • Candès, E. J. (1999). Harmonic analysis of neural netwoks, Appl. Comput. Harmon. Anal. 6, 197-218.
    • (1999) Appl. Comput. Harmon. Anal , vol.6 , pp. 197-218
    • Candès, E.J.1
  • 16
    • 0003288991 scopus 로고    scopus 로고
    • Curvelets - a surprisingly effective nonadaptive representation for objects with edges
    • Cohen, A, Rabut, C, and Schumaker, L. L, Eds, Nashville, TN, Vanderbilt University Press
    • Candès, E.J. and Donoho, D. L. (1999). Curvelets - a surprisingly effective nonadaptive representation for objects with edges, in Curve and Surface Fitting, Saint-Malo 1999, Cohen, A., Rabut, C., and Schumaker, L. L., Eds., Nashville, TN, Vanderbilt University Press.
    • (1999) Curve and Surface Fitting, Saint-Malo 1999
    • Candès, E.J.1    Donoho, D.L.2
  • 19
    • 0036301838 scopus 로고    scopus 로고
    • Local inpainting models and tv inpainting
    • Chan, T. and Shen, J. (2001). Local inpainting models and tv inpainting, SIAM J. Appl. Math. 62, 1019-1043.
    • (2001) SIAM J. Appl. Math , vol.62 , pp. 1019-1043
    • Chan, T.1    Shen, J.2
  • 21
    • 0024035735 scopus 로고
    • Time-frequency localization operators: A geometric phase space approach
    • Daubechies, I. (1988). Time-frequency localization operators: A geometric phase space approach, IEEE Trans. Inform. Theory 34, 605-612.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 605-612
    • Daubechies, I.1
  • 22
    • 28944432472 scopus 로고    scopus 로고
    • The contourlet transform: An efficient directional multiresolution image representation
    • Do, M. N. and Vetterli, M. (2005). The contourlet transform: An efficient directional multiresolution image representation, IEEE Trans. Image. Process. 14(12), 2091-2106.
    • (2005) IEEE Trans. Image. Process , vol.14 , Issue.12 , pp. 2091-2106
    • Do, M.N.1    Vetterli, M.2
  • 23
    • 20444478110 scopus 로고    scopus 로고
    • Digital ridgelet transform based on true Ridge functions
    • Schmeidler, J. and Weiland, G. V, Eds, Academic Press
    • Donoho, D. and Flesia, A. G. (2002). Digital ridgelet transform based on true Ridge functions, in Beyond Wavelets, Schmeidler, J. and Weiland, G. V., Eds., Academic Press.
    • (2002) Beyond Wavelets
    • Donoho, D.1    Flesia, A.G.2
  • 24
    • 0033716552 scopus 로고    scopus 로고
    • Digital curvelet transform: Strategy, implementation and experiments
    • Szu, H. H, Vetterli, M, Campbell, W, and Buss, J. R, Eds, SPIE
    • Donoho, D. L. and Duncan, M. R. (2000). Digital curvelet transform: Strategy, implementation and experiments, in Proc. Aerosense 2000, Wavelet Applications VII, Szu, H. H., Vetterli, M., Campbell, W., and Buss, J. R., Eds., Vol. 4056, 12-29. SPIE.
    • (2000) Proc. Aerosense 2000, Wavelet Applications VII , vol.4056 , pp. 12-29
    • Donoho, D.L.1    Duncan, M.R.2
  • 26
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • Donoho, D. L., Elad, M., and Temlyakov, V. (2006). Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Trans. Inform. Theory 52, 6-18.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 6-18
    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.3
  • 27
    • 0041958932 scopus 로고
    • Ideal spatial adaptation via wavelet shrinkage
    • Donoho, D. L. and Johnstone, I. M. (1994). Ideal spatial adaptation via wavelet shrinkage, Biometrika 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 28
    • 35548934118 scopus 로고    scopus 로고
    • Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit
    • submitted
    • Donoho, D. L., Tsaig, Y., Drori, I., and Starck, J.-L. (2006). Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit, IEEE Trans. Inform. Theory, submitted.
    • (2006) IEEE Trans. Inform. Theory
    • Donoho, D.L.1    Tsaig, Y.2    Drori, I.3    Starck, J.-L.4
  • 30
    • 33947361050 scopus 로고    scopus 로고
    • Why simple shrinkage is still relevant for redundant representations?
    • Elad, M. (2006). Why simple shrinkage is still relevant for redundant representations?, IEEE Trans. Inform. Theory 52(12), 5559-5569.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.12 , pp. 5559-5569
    • Elad, M.1
  • 31
    • 0036714214 scopus 로고    scopus 로고
    • A generalized uncertainty principle and sparse representation in pairs of bases
    • Elad, M. andBruckstein, A.M. (2002). A generalized uncertainty principle and sparse representation in pairs of bases, IEEE Trans. Inform. Theory 48, 2558-2567.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 2558-2567
    • Elad, M.1    andBruckstein, A.M.2
  • 32
    • 27844460570 scopus 로고    scopus 로고
    • Elad, M., Starck, J.-L., Querre, P., and Donoho, D. (2005). Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA), Appl. Comput. Harmon. Anal. 19(3), 340-358, to appear.
    • Elad, M., Starck, J.-L., Querre, P., and Donoho, D. (2005). Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA), Appl. Comput. Harmon. Anal. 19(3), 340-358, to appear.
  • 33
    • 3042631346 scopus 로고    scopus 로고
    • Freeden, W. and Maier, T. (2002). On multiscale denoising of spherical functions: Basic theory and numerical aspects, Electron. Trans. Numer. Anal. (ETNA) 14, 40-62.
    • Freeden, W. and Maier, T. (2002). On multiscale denoising of spherical functions: Basic theory and numerical aspects, Electron. Trans. Numer. Anal. (ETNA) 14, 40-62.
  • 34
    • 33645475776 scopus 로고    scopus 로고
    • A survey on wavelet methods for (geo)applications
    • Freeden, W., Maier, T., and Zimmermann, S. (2003). A survey on wavelet methods for (geo)applications, Rev. Math. Complut. 16(1), 277-310.
    • (2003) Rev. Math. Complut , vol.16 , Issue.1 , pp. 277-310
    • Freeden, W.1    Maier, T.2    Zimmermann, S.3
  • 35
    • 26844461512 scopus 로고    scopus 로고
    • Recovery of exact sparse representations in the presence of bounded noise
    • Fuchs, J. J. (2005). Recovery of exact sparse representations in the presence of bounded noise, IEEE Trans. Inform. Theory 51, 3601-3608.
    • (2005) IEEE Trans. Inform. Theory , vol.51 , pp. 3601-3608
    • Fuchs, J.J.1
  • 36
    • 18444379197 scopus 로고    scopus 로고
    • HEALPix: A Framework for high-resolution discretization and fast analysis of data distributed on the sphere
    • Górski, K. M., Hivon, E., Banday, A. J., Wandelt, B. D., Hansen, F. K., Reinecke, M., and Bartelmann, M. (2005). HEALPix: A Framework for high-resolution discretization and fast analysis of data distributed on the sphere, A strophys. J. 622, 759-771.
    • (2005) A strophys. J , vol.622 , pp. 759-771
    • Górski, K.M.1    Hivon, E.2    Banday, A.J.3    Wandelt, B.D.4    Hansen, F.K.5    Reinecke, M.6    Bartelmann, M.7
  • 37
    • 0347968052 scopus 로고    scopus 로고
    • Sparse representations in unions of bases
    • Gribonval, R. and Nielsen, M. (2003). Sparse representations in unions of bases, IEEE Trans. Inform. Theory 49(12), 3320-3325.
    • (2003) IEEE Trans. Inform. Theory , vol.49 , Issue.12 , pp. 3320-3325
    • Gribonval, R.1    Nielsen, M.2
  • 38
    • 35548958629 scopus 로고    scopus 로고
    • The contourlet transform: An efficient directional multiresolution image representation
    • submitted
    • Herrmann, F., Moghaddam, P. P., and Stolk, C. (2005). The contourlet transform: An efficient directional multiresolution image representation, Appl. Comput. Harmon. Anal., submitted.
    • (2005) Appl. Comput. Harmon. Anal
    • Herrmann, F.1    Moghaddam, P.P.2    Stolk, C.3
  • 39
    • 0030504577 scopus 로고    scopus 로고
    • Wavelet analysis on the sphere
    • Holschneider, M. (1996). Wavelet analysis on the sphere, J. Math. Phys. 37(8), 4156-4165.
    • (1996) J. Math. Phys , vol.37 , Issue.8 , pp. 4156-4165
    • Holschneider, M.1
  • 40
    • 31544473485 scopus 로고    scopus 로고
    • Cosmological non-gaussian signatures detection : Comparing performance of different statistical tests
    • Jin, J., Starck, J.-L., Donoho, D. L., Aghanim, N., and Forni, O. (2005). Cosmological non-gaussian signatures detection : Comparing performance of different statistical tests, EURASIP J. Appl. Signal Process. 2005(15), 2470-2485.
    • (2005) EURASIP J. Appl. Signal Process , vol.2005 , Issue.15 , pp. 2470-2485
    • Jin, J.1    Starck, J.-L.2    Donoho, D.L.3    Aghanim, N.4    Forni, O.5
  • 42
    • 0027842081 scopus 로고
    • Matching pursuit with, time-frequency dictionaries
    • Mallat, S. and Zhang, Z. (1993). Matching pursuit with, time-frequency dictionaries, IEEE Trans. Signal Process. 41(12), 3397-3415.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 44
    • 0036474805 scopus 로고    scopus 로고
    • Disocclusion: A variational approach using level lines
    • Masnou, S. and Morel, J. M. (2002). Disocclusion: A variational approach using level lines, IEEE Trans. Image Process. 11(2), 68-76.
    • (2002) IEEE Trans. Image Process , vol.11 , Issue.2 , pp. 68-76
    • Masnou, S.1    Morel, J.M.2
  • 45
    • 35549010558 scopus 로고    scopus 로고
    • A fast directional continuous spherical wavelet transform
    • submitted
    • McEwen, J., Hobson, M., Lasenby, A., and Mortlock, D. (2004). A fast directional continuous spherical wavelet transform, MNRAS, submitted.
    • (2004) MNRAS
    • McEwen, J.1    Hobson, M.2    Lasenby, A.3    Mortlock, D.4
  • 47
    • 29144515652 scopus 로고    scopus 로고
    • Cosmic microwave background and foregrounds in Wilkinson Microwave Anisotropy Probe first-year data
    • Patanchon, G., Cardoso, J.-F., Delabrouille, J., and Vielva, P. (2005). Cosmic microwave background and foregrounds in Wilkinson Microwave Anisotropy Probe first-year data, MNRAS 364, 1185-1194.
    • (2005) MNRAS , vol.364 , pp. 1185-1194
    • Patanchon, G.1    Cardoso, J.-F.2    Delabrouille, J.3    Vielva, P.4
  • 48
    • 33748423715 scopus 로고    scopus 로고
    • Sunyaev-Zel'dovich cluster reconstruction in multiband bolometer camera surveys
    • Pires, S., Juin, J. B., Yvon, D., Moudden, Y., Anthoine, S., and Pierpaoli, E. (2006). Sunyaev-Zel'dovich cluster reconstruction in multiband bolometer camera surveys, AA 455, 741-755.
    • (2006) AA , vol.455 , pp. 741-755
    • Pires, S.1    Juin, J.B.2    Yvon, D.3    Moudden, Y.4    Anthoine, S.5    Pierpaoli, E.6
  • 49
    • 0029179426 scopus 로고
    • Spherical wavelets: Efficiently representing functions on the sphere
    • Schröder, P. and Sweldens, W. (1995). Spherical wavelets: Efficiently representing functions on the sphere, Comp. Graph. Proceedings (SIGGRAPH 95), 161-172.
    • (1995) Comp. Graph. Proceedings (SIGGRAPH 95) , pp. 161-172
    • Schröder, P.1    Sweldens, W.2
  • 50
    • 85176025178 scopus 로고    scopus 로고
    • Smoot, G.F., Bennett, C.L., Kogut, A., Wright, E.L., Aymon, J., Boggess, N. W., Cheng, E. S., de Amici, G., Gulkis, S., Hauser, M. G., Hinshaw, G., Jackson, P. D., Janssen, M., Kaita, E., Kelsall, T., Keegstra, P., Lineweaver, C., Loewenstein, K., Lubin, P., Mather, J., Meyer, S. S., Moseley, S. H., Murdock, T., Rokke, L., Silverberg, R. F., Tenorio, L., Weiss, R., and Wilkinson, D. T. (1992). Structure in the COBE differential microwave radiometer first-year maps, Astrophys. J. Lett. 396, L1-L5.
    • Smoot, G.F., Bennett, C.L., Kogut, A., Wright, E.L., Aymon, J., Boggess, N. W., Cheng, E. S., de Amici, G., Gulkis, S., Hauser, M. G., Hinshaw, G., Jackson, P. D., Janssen, M., Kaita, E., Kelsall, T., Keegstra, P., Lineweaver, C., Loewenstein, K., Lubin, P., Mather, J., Meyer, S. S., Moseley, S. H., Murdock, T., Rokke, L., Silverberg, R. F., Tenorio, L., Weiss, R., and Wilkinson, D. T. (1992). Structure in the COBE differential microwave radiometer first-year maps, Astrophys. J. Lett. 396, L1-L5.
  • 51
    • 1542437304 scopus 로고    scopus 로고
    • Detecting cosmological non-gaussian signatures by multi-scale methods
    • Starck, J.-L., Aghanim, N., and Forni, O. (2004). Detecting cosmological non-gaussian signatures by multi-scale methods, Astronomy and Astrophysics 416, 9-17.
    • (2004) Astronomy and Astrophysics , vol.416 , pp. 9-17
    • Starck, J.-L.1    Aghanim, N.2    Forni, O.3
  • 53
    • 0037316980 scopus 로고    scopus 로고
    • Astronomical image representation by the curvelet tans form
    • Starck, J.-L., Candès, E., and Donoho, D. L. (2003). Astronomical image representation by the curvelet tans form, Astronomy and Astrophysics 398, 785-800.
    • (2003) Astronomy and Astrophysics , vol.398 , pp. 785-800
    • Starck, J.-L.1    Candès, E.2    Donoho, D.L.3
  • 54
    • 3142656055 scopus 로고    scopus 로고
    • Redundant multiscale transforms and their application for morphological component analysis
    • Starck, J.-L., Elad, M., and Donoho, D. L. (2004). Redundant multiscale transforms and their application for morphological component analysis, Advances in Imaging and Electron Physics, 132.
    • (2004) Advances in Imaging and Electron Physics , vol.132
    • Starck, J.-L.1    Elad, M.2    Donoho, D.L.3
  • 55
    • 33847702157 scopus 로고    scopus 로고
    • The undecimated wavelet decomposition and its reconstruction
    • Starck, J.-L., Fadili, J., and Murtagh, F. (2007). The undecimated wavelet decomposition and its reconstruction, IEEE Trans. Image Process. 16(2), 297-309.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.2 , pp. 297-309
    • Starck, J.-L.1    Fadili, J.2    Murtagh, F.3
  • 58
    • 0038156429 scopus 로고    scopus 로고
    • Gray and color image contrast enhancement by the curvelet transform
    • Starck, J.-.L., Murtagh, F., Candes, E., and Donoho, D. L. (2003). Gray and color image contrast enhancement by the curvelet transform, IEEE Trans. Image Process. 12(6), 706-717.
    • (2003) IEEE Trans. Image Process , vol.12 , Issue.6 , pp. 706-717
    • Starck, J.L.1    Murtagh, F.2    Candes, E.3    Donoho, D.L.4
  • 59
    • 24044524016 scopus 로고    scopus 로고
    • Correspondence principle between spherical and Euclidean wavelets
    • Wiaux, Y., Jacques, L., and Vandergheynst, P. (2005). Correspondence principle between spherical and Euclidean wavelets, Astrophys. J. 632, 15-28.
    • (2005) Astrophys. J , vol.632 , pp. 15-28
    • Wiaux, Y.1    Jacques, L.2    Vandergheynst, P.3
  • 60
    • 33845311147 scopus 로고    scopus 로고
    • Fast directional correlation on the sphere with steerable filters
    • Wiaux, Y., Jacques, L., and Vandergheynst, P. (2006). Fast directional correlation on the sphere with steerable filters, Astrophys. J. 652(820).
    • (2006) Astrophys. J , vol.652 , Issue.820
    • Wiaux, Y.1    Jacques, L.2    Vandergheynst, P.3


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