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Volumn 48, Issue 2, 2014, Pages 279-294

Poisson noise reduction with non-local PCA

Author keywords

Gradient methods; Image denoising; Newton's method; PCA; Signal representations

Indexed keywords

CONVEX OPTIMIZATION; GRADIENT METHODS; IMAGE ANALYSIS; NEWTON-RAPHSON METHOD; NUCLEAR MEDICINE; PHOTONS; POISSON DISTRIBUTION; SPECTROSCOPY;

EID: 84898600900     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-013-0435-6     Document Type: Article
Times cited : (282)

References (48)
  • 1
    • 33750383209 scopus 로고    scopus 로고
    • K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation
    • Aharon, M., Elad, M., Bruckstein, A.: K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans. Signal Process. 54(11), 4311-4322 (2006)
    • (2006) IEEE Trans. Signal Process. , vol.54 , Issue.11 , pp. 4311-4322
    • Aharon, M.1    Elad, M.2    Bruckstein, A.3
  • 2
    • 0001243836 scopus 로고
    • The transformation of Poisson, binomial and negative-Binomial data
    • Anscombe, F.J.: The transformation of Poisson, binomial and negative-binomial data. Biometrika 35, 246-254 (1948)
    • (1948) Biometrika , vol.35 , pp. 246-254
    • Anscombe, F.J.1
  • 6
    • 80051762104 scopus 로고    scopus 로고
    • Distributed optimization and statistical learning via the alternating direction method of multipliers
    • Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1-122 (2011)
    • (2011) Found. Trends Mach. Learn. , vol.3 , Issue.1 , pp. 1-122
    • Boyd, S.1    Parikh, N.2    Chu, E.3    Peleato, B.4    Eckstein, J.5
  • 7
    • 49949144765 scopus 로고
    • The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
    • Bregman, L.M.: The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming. Comput. Math. Math. Phys. 7(3), 200-217 (1967)
    • (1967) Comput Math. Math. Phys. , vol.7 , Issue.3 , pp. 200-217
    • Bregman, L.M.1
  • 8
    • 33645653318 scopus 로고    scopus 로고
    • A review of image denoising algorithms, with a new one
    • Buades, A., Coll, B., Morel, J.-M.: A review of image denoising algorithms, with a new one. Multiscale Model. Simul. 4(2), 490-530 (2005)
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.2 , pp. 490-530
    • Buades, A.1    Coll, B.2    Morel, J.-M.3
  • 9
    • 84898599660 scopus 로고    scopus 로고
    • Patch-Based near-Optimal image denoising
    • In
    • Chatterjee, P., Milanfar, P.: Patch-based near-optimal image denoising. In: ICIP (2011)
    • (2011) ICIP
    • Chatterjee, P.1    Milanfar, P.2
  • 10
    • 84899014910 scopus 로고    scopus 로고
    • A generalization of principal components analysis to the exponential family
    • In
    • Collins, M., Dasgupta, S., Schapire, R.E.: A generalization of principal components analysis to the exponential family. In: NIPS, pp. 617-624 (2002)
    • (2002) NIPS , pp. 617-624
    • Collins, M.1    Dasgupta, S.2    Schapire, R.E.3
  • 11
    • 34547760736 scopus 로고    scopus 로고
    • Image denoising by sparse 3-D transform-Domain collaborative filtering
    • Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.O.: Image denoising by sparse 3-D transform-domain collaborative filtering. IEEE Trans. Image Process. 16(8), 2080-2095 (2007)
    • (2007) IEEE Trans. Image Process. , vol.16 , Issue.8 , pp. 2080-2095
    • Dabov, K.1    Foi, A.2    Katkovnik, V.3    Egiazarian, K.O.4
  • 13
    • 78649368288 scopus 로고    scopus 로고
    • Denoising of multispectral images via nonlocal groupwise spectrum-PCA
    • In
    • Danielyan, A., Foi, A., Katkovnik, V., Egiazarian, K.: Denoising of multispectral images via nonlocal groupwise spectrum-PCA. In: CGIV2010/MCS'10, pp. 261-266 (2010)
    • (2010) CGIV2010/MCS'10 , pp. 261-266
    • Danielyan, A.1    Foi, A.2    Katkovnik, V.3    Egiazarian, K.4
  • 14
    • 78651094424 scopus 로고    scopus 로고
    • Poisson NL means: Unsupervised non local means for Poisson noise
    • In
    • Deledalle, C.-A., Denis, L., Tupin, F.: Poisson NL means: Unsupervised non local means for Poisson noise. In: ICIP, pp. 801-804 (2010)
    • (2010) ICIP , pp. 801-804
    • Deledalle, C.-A.1    Denis, L.2    Tupin, F.3
  • 15
    • 84898473966 scopus 로고    scopus 로고
    • Image denoising with patch based PCA: Local versus global
    • In
    • Deledalle, C.-A., Salmon, J., Dalalyan, A.S.: Image denoising with patch based PCA: local versus global. In: BMVC (2011)
    • (2011) BMVC
    • Deledalle, C.-A.1    Salmon, J.2    Dalalyan, A.S.3
  • 16
    • 78649287919 scopus 로고    scopus 로고
    • Restoration of poissonian images using alternating direction optimization
    • In
    • Figueiredo, M.A.T., Bioucas-Dias, J.M.: Restoration of poissonian images using alternating direction optimization. IEEE Trans. Signal Process. 19(12), 3133-3145 (2010)
    • (2010) IEEE Trans. Signal Process. , vol.19 , Issue.12 , pp. 3133-3145
    • Figueiredo, M.A.T.1    Bioucas-Dias, J.M.2
  • 17
    • 3142759528 scopus 로고
    • The limiting distribution of a function of two independent random variables and its statistical application
    • Fisz, M.: The limiting distribution of a function of two independent random variables and its statistical application. Colloq. Math. 3, 138-146 (1955)
    • (1955) Colloq. Math. , vol.3 , pp. 138-146
    • Fisz, M.1
  • 18
    • 0010803506 scopus 로고    scopus 로고
    • Poisson intensity estimation using wavelets and the Fisz transformation
    • In:Department of Mathematics, University of Bristol, United Kingdom
    • Fryźlewicz, P., Nason, G.P.: Poisson intensity estimation using wavelets and the Fisz transformation. Technical report, Department of Mathematics, University of Bristol, United Kingdom (2001)
    • (2001) Technical Report
    • Fryźlewicz, P.1    Nason, G.P.2
  • 19
    • 33749003352 scopus 로고    scopus 로고
    • 2 models
    • 2 models. In: NIPS, pp. 593-600 (2003)
    • (2003) NIPS , pp. 593-600
    • Gordon, G.J.1
  • 20
    • 84857311234 scopus 로고    scopus 로고
    • This is SPIRAL-TAP: Sparse poisson intensity reconstruction algorithms-Theory and practice
    • Harmany, Z.,Marcia, R.,Willett, R.: This is SPIRAL-TAP: sparse poisson intensity reconstruction algorithms-theory and practice. IEEE Trans. Image Process. 21(3), 1084-1096 (2012)
    • (2012) IEEE Trans. Image Process. , vol.21 , Issue.3 , pp. 1084-1096
    • Harmany, Z.1    Marcia, R.2    Willett, R.3
  • 21
  • 22
    • 33749184792 scopus 로고    scopus 로고
    • Optimal spatial adaptation for patchbased image denoising
    • Kervrann, C., Boulanger, J.: Optimal spatial adaptation for patchbased image denoising. IEEE Trans. Image Process. 15(10), 2866-2878 (2006)
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.10 , pp. 2866-2878
    • Kervrann, C.1    Boulanger, J.2
  • 23
    • 0033410025 scopus 로고    scopus 로고
    • Wavelet shrinkage estimation of certain Poisson intensity signals using corrected thresholds
    • Kolaczyk, E.D.: Wavelet shrinkage estimation of certain Poisson intensity signals using corrected thresholds. Stat. Sin. 9(1), 119-135 (1999)
    • (1999) Stat. Sin. , vol.9 , Issue.1 , pp. 119-135
    • Kolaczyk, E.D.1
  • 24
    • 3042744469 scopus 로고    scopus 로고
    • Multiscale likelihood analysis and complexity penalized estimation
    • Kolaczyk, E.D., Nowak, R.D.: Multiscale likelihood analysis and complexity penalized estimation. Ann. Stat. 32(2), 500-527 (2004)
    • (2004) Ann. Stat. , vol.32 , Issue.2 , pp. 500-527
    • Kolaczyk, E.D.1    Nowak, R.D.2
  • 25
    • 78650237913 scopus 로고    scopus 로고
    • Multiscale photonlimited spectral image reconstruction
    • Krishnamurthy, K., Raginsky, M., Willett, R.: Multiscale photonlimited spectral image reconstruction. SIAM J. Imaging Sci. 3(3), 619-645 (2010)
    • (2010) SIAM J. Imaging Sci. , vol.3 , Issue.3 , pp. 619-645
    • Krishnamurthy, K.1    Raginsky, M.2    Willett, R.3
  • 26
  • 27
    • 84864036295 scopus 로고    scopus 로고
    • Efficient sparse coding algorithms
    • In
    • Lee, H., Battle, A., Raina, R., Ng, A.Y.: Efficient sparse coding algorithms. In: NIPS, pp. 801-808 (2007)
    • (2007) NIPS , pp. 801-808
    • Lee, H.1    Battle, A.2    Raina, R.3    Ng, A.Y.4
  • 28
    • 84871645534 scopus 로고    scopus 로고
    • A nonlocal transform-Domain filter for volumetric data denoising and reconstruction
    • Maggioni, M., Katkovnik, V., Egiazarian, K., Foi, A.: A nonlocal transform-domain filter for volumetric data denoising and reconstruction. IEEE Trans. Image Process. 22, 119-133 (2013)
    • (2013) IEEE Trans. Image Process. , vol.22 , pp. 119-133
    • Maggioni, M.1    Katkovnik, V.2    Egiazarian, K.3    Foi, A.4
  • 29
    • 76749107542 scopus 로고    scopus 로고
    • Online learning for matrix factorization and sparse coding
    • Mairal, J., Bach, F., Ponce, J., Sapiro, G.: Online learning for matrix factorization and sparse coding. J. Mach. Learn. Res., 19-60 (2010)
    • (2010) J. Mach. Learn. Res. , pp. 19-60
    • Mairal, J.1    Bach, F.2    Ponce, J.3    Sapiro, G.4
  • 30
    • 77952739016 scopus 로고    scopus 로고
    • Nonlocal sparse models for image restoration
    • In
    • Mairal, J., Bach, F., Ponce, J., Sapiro, G., Zisserman, A.: Nonlocal sparse models for image restoration. In: ICCV, pp. 2272- 2279 (2009)
    • (2009) ICCV , pp. 2272-2279
    • Mairal, J.1    Bach, F.2    Ponce, J.3    Sapiro, G.4    Zisserman, A.5
  • 32
    • 84871651948 scopus 로고    scopus 로고
    • Optimal inversion of the generalized Anscombe transformation for Poisson-Gaussian noise
    • Mäkitalo, M., Foi, A.: Optimal inversion of the generalized Anscombe transformation for Poisson-Gaussian noise. IEEE Trans. Image Process. 22, 91-103 (2013)
    • (2013) IEEE Trans. Image Process , vol.22 , pp. 91-103
    • Mäkitalo, M.1    Foi, A.2
  • 33
    • 0344666673 scopus 로고    scopus 로고
    • Adaptive principal components and image denoising
    • In
    • Muresan, D.D., Parks, T.W.: Adaptive principal components and image denoising. In: ICIP, pp. 101-104 (2003)
    • (2003) ICIP , pp. 101-104
    • Muresan, D.D.1    Parks, T.W.2
  • 34
    • 84898599661 scopus 로고    scopus 로고
    • Statistical exponential families: A digest with flash cards
    • arXiv: 0911.4863,In
    • Nielsen, F., Garcia, V.: Statistical exponential families: a digest with flash cards. Arxiv preprint (2009). arXiv:0911.4863
    • (2009) Arxiv Preprint
    • Nielsen, F.1    Garcia, V.2
  • 35
    • 27344443125 scopus 로고    scopus 로고
    • Finding approximate POMDP solutions through belief compression
    • Roy, N., Gordon, G.J., Thrun, S.: Finding approximate POMDP solutions through belief compression. J. Artif. Intell. Res. 23(1), 1-40 (2005)
    • (2005) J. Artif. Intell. Res. , vol.23 , Issue.1 , pp. 1-40
    • Roy, N.1    Gordon, G.J.2    Thrun, S.3
  • 37
    • 80054733560 scopus 로고    scopus 로고
    • Patch reprojections for non local methods
    • Salmon, J., Strozecki, Y.: Patch reprojections for non local methods. Signal Process. 92(2), 447-489 (2012)
    • (2012) Signal Process. , vol.92 , Issue.2 , pp. 447-489
    • Salmon, J.1    Strozecki, Y.2
  • 38
    • 84868245663 scopus 로고    scopus 로고
    • A two-Stage denoising filter: The preprocessed Yaroslavsky filter
    • In
    • Salmon, J., Willett, R., Arias-Castro, E.: A two-stage denoising filter: the preprocessed Yaroslavsky filter. In: SSP (2012)
    • (2012) SSP
    • Salmon, J.1    Willett, R.2    Arias-Castro, E.3
  • 42
    • 0038321621 scopus 로고    scopus 로고
    • Platelets: A multiscale approach for recovering edges and surfaces in photon-Limited medical imaging
    • Willett, R., Nowak, R.D.: Platelets: a multiscale approach for recovering edges and surfaces in photon-limited medical imaging. IEEE Trans. Med. Imaging 22(3), 332-350 (2003)
    • (2003) IEEE Trans. Med. Imaging , vol.22 , Issue.3 , pp. 332-350
    • Willett, R.1    Nowak, R.D.2
  • 45
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algorithms for l1-Minimization with applications to compressed sensing
    • Yin, W., Osher, S., Goldfarb, D., Darbon, J.: Bregman iterative algorithms for l1-minimization with applications to compressed sensing. SIAM J. Imaging Sci. 1(1), 143-168 (2008)
    • (2008) SIAM J. Imaging Sci. , vol.1 , Issue.1 , pp. 143-168
    • Yin, W.1    Osher, S.2    Goldfarb, D.3    Darbon, J.4
  • 46
    • 45949089551 scopus 로고    scopus 로고
    • Wavelets, ridgelets, and curvelets for Poisson noise removal
    • Zhang, B., Fadili, J., Starck, J.-L.: Wavelets, ridgelets, and curvelets for Poisson noise removal. IEEE Trans. Image Process. 17(7), 1093-1108 (2008)
    • (2008) IEEE Trans. Image Process. , vol.17 , Issue.7 , pp. 1093-1108
    • Zhang, B.1    Fadili, J.2    Starck, J.-L.3
  • 47
    • 74449091858 scopus 로고    scopus 로고
    • Two-Stage image denoising by principal component analysis with local pixel grouping
    • Zhang, L., Dong, W., Zhang, D., Shi, G.: Two-stage image denoising by principal component analysis with local pixel grouping. Pattern Recognit. 43(4), 1531-1549 (2010)
    • (2010) Pattern Recognit. , vol.43 , Issue.4 , pp. 1531-1549
    • Zhang, L.1    Dong, W.2    Zhang, D.3    Shi, G.4


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