-
1
-
-
36149030663
-
Analysis of bounded variation penalty methods for ill-posed problems
-
Acar, R., & Vogel, C. R. (1994). Analysis of bounded variation penalty methods for ill-posed problems. Inverse Problems, 10, 1217-1229.
-
(1994)
Inverse Problems
, vol.10
, pp. 1217-1229
-
-
Acar, R.1
Vogel, C.R.2
-
2
-
-
49449100276
-
A variational approach to remove multiplicative noise
-
Aubert, G., & Aujol, J. F. (2008). A variational approach to remove multiplicative noise. SIAM Journal on Applied Mathematics, 68, 925-946.
-
(2008)
SIAM Journal on Applied Mathematics
, vol.68
, pp. 925-946
-
-
Aubert, G.1
Aujol, J.F.2
-
3
-
-
70350637680
-
Regularization parameter selection methods for ill-posed Poisson maximum likelihood estimation
-
Bardsley, J., & Goldes, J. (2009). Regularization parameter selection methods for ill-posed Poisson maximum likelihood estimation. Inverse Problems, 25.
-
(2009)
Inverse Problems
, pp. 25
-
-
Bardsley, J.1
Goldes, J.2
-
4
-
-
67349157591
-
Total variation-penalized Poisson likelihood estimation for ill-posed problems
-
Bardsley, J., & Luttman, A. (2009). Total variation-penalized Poisson likelihood estimation for ill-posed problems. Advances in Computational Mathematics, 31(1), 35-59.
-
(2009)
Advances in Computational Mathematics
, vol.31
, Issue.1
, pp. 35-59
-
-
Bardsley, J.1
Luttman, A.2
-
7
-
-
41549168778
-
Convergence rates of general regularization methods for statistical inverse problems and applications
-
Bissantz, N., Hohage, T., Munk, A., & Ruymgaart, F. (2007). Convergence rates of general regularization methods for statistical inverse problems and applications. SIAM Journal on Numerical Analysis, 45, 2610-2636.
-
(2007)
SIAM Journal on Numerical Analysis
, vol.45
, pp. 2610-2636
-
-
Bissantz, N.1
Hohage, T.2
Munk, A.3
Ruymgaart, F.4
-
8
-
-
49949144765
-
The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming
-
Bregman, L. M. (1967). The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Computational Mathematics and Mathematical Physics, 7, 200-217.
-
(1967)
USSR Computational Mathematics and Mathematical Physics
, vol.7
, pp. 200-217
-
-
Bregman, L.M.1
-
9
-
-
69049109069
-
Bregman-EM-TV methods with application to optical nanoscopy
-
doi: 10.1007/978-3-642-02256-2-20
-
Brune, C., Sawatzky, A., & Burger, M. (2009a). Bregman-EM-TV methods with application to optical nanoscopy. In Proceedings of the 2nd international conference on scale space and variational methods in computer vision (Vol. 5567, pp. 235-246). doi: 10.1007/978-3-642-02256-2-20.
-
(2009)
Proceedings of the 2nd International Conference on Scale Space and Variational Methods in Computer Vision
, vol.5567
, pp. 235-246
-
-
Brune, C.1
Sawatzky, A.2
Burger, M.3
-
10
-
-
83155168865
-
-
with Poisson noise. Preprint
-
Brune, C., Sawatzky, A., Wübbeling, F., Kösters, T., & Burger, M. (2010). Forward backward EM-TV methods for inverse problems with Poisson noise. Preprint.
-
(2010)
Forward Backward EM-TV Methods for Inverse Problems
-
-
Brune, C.1
Sawatzky, A.2
Wübbeling, F.3
Kösters, T.4
Burger, M.5
-
11
-
-
6444243748
-
Convergence rates of convex variational regularization
-
Burger, M., & Osher, S. (2004). Convergence rates of convex variational regularization. Inverse Problems, 20, 1411-1421.
-
(2004)
Inverse Problems
, vol.20
, pp. 1411-1421
-
-
Burger, M.1
Osher, S.2
-
12
-
-
85121572269
-
Nonlinear inverse scale space methods
-
Burger, M., Gilboa, G., Osher, S., & Xu, J. (2006). Nonlinear inverse scale space methods. Communications in Mathematical Sciences, 4(1), 179-212.
-
(2006)
Communications in Mathematical Sciences
, vol.4
, Issue.1
, pp. 179-212
-
-
Burger, M.1
Gilboa, G.2
Osher, S.3
Xu, J.4
-
13
-
-
37249068651
-
Inverse total variation flow
-
Burger, M., Frick, K., Osher, S., & Scherzer, O. (2007a). Inverse total variation flow. SIAM Multiscale Modelling and Simulation, 6(2), 366-395.
-
(2007)
SIAM Multiscale Modelling and Simulation
, vol.6
, Issue.2
, pp. 366-395
-
-
Burger, M.1
Frick, K.2
Osher, S.3
Scherzer, O.4
-
14
-
-
36549078210
-
Error estimation for Bregman iterations and inverse scale space methods in image restoration
-
DOI 10.1007/s00607-007-0245-z, Special Issue on Industrial Geometry
-
Burger, M., Resmerita, E., & He, L. (2007b). Error estimation for Bregman iterations and inverse scale space methods. Computing, 81, 109-135. (Pubitemid 350178349)
-
(2007)
Computing (Vienna/New York)
, vol.81
, Issue.2-3
, pp. 109-135
-
-
Burger, M.1
Resmerita, E.2
He, L.3
-
15
-
-
83155195140
-
Cahn-Hilliard inpainting and a generalization to gray-value images
-
Burger, M., Schönlieb, C., & He, L. (2009). Cahn-Hilliard inpainting and a generalization to gray-value images. SIAM Journal of Imaging Science, 3
-
(2009)
SIAM Journal of Imaging Science
, pp. 3
-
-
Burger, M.1
Schönlieb, C.2
He, L.3
-
16
-
-
1242352408
-
An algorithm for total variation minimization and applications
-
Chambolle, A. (2004). An algorithm for total variation minimization and applications. Journal of Mathematical Imaging and Vision, 20, 89-97.
-
(2004)
Journal of Mathematical Imaging and Vision
, vol.20
, pp. 89-97
-
-
Chambolle, A.1
-
17
-
-
0025595687
-
Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
-
Csiszar, I. (1991). Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems. Annals of Statistics, 19, 2032-2066.
-
(1991)
Annals of Statistics
, vol.19
, pp. 2032-2066
-
-
Csiszar, I.1
-
18
-
-
0002629270
-
Maximum likelihood from incomplete data via the EM algorithm
-
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society B, 39, 1-38.
-
(1977)
Journal of the Royal Statistical Society B
, vol.39
, pp. 1-38
-
-
Dempster, A.P.1
Laird, N.M.2
Rubin, D.B.3
-
19
-
-
33645901226
-
Richardson-Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution
-
Dey, N., Blanc-Feraud, L., Zimmer, C., Kam, Z., Roux, P., Olivo-Marin, J. C., & Zerubia, J. (2006). Richardson-Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution. Microscopy Research Technique, 69, 260-266.
-
(2006)
Microscopy Research Technique
, vol.69
, pp. 260-266
-
-
Dey, N.1
Blanc-Feraud, L.2
Zimmer, C.3
Kam, Z.4
Roux, P.5
Olivo-Marin, J.C.6
Zerubia, J.7
-
23
-
-
0021518209
-
STOCHASTIC RELAXATION, GIBBS DISTRIBUTIONS, AND THE BAYESIAN RESTORATION OF IMAGES.
-
Geman, S., & Geman, D. (1984). Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741. (Pubitemid 15453722)
-
(1984)
IEEE Transactions on Pattern Analysis and Machine Intelligence
, vol.PAMI-6
, Issue.6
, pp. 721-741
-
-
Geman Stuart1
Geman Donald2
-
24
-
-
0002030206
-
Bayesian image analysis: An application to single photon emission tomography
-
Washington: American Statistical Association
-
Geman, S., & McClure, D. E. (1985). Bayesian image analysis: an application to single photon emission tomography. In Proc. statistical computation section (pp. 12-18). Washington: American Statistical Association.
-
(1985)
Proc. Statistical Computation Section
, pp. 12-18
-
-
Geman, S.1
McClure, D.E.2
-
26
-
-
84969334819
-
The split Bregman method for L1-regularized problems
-
Goldstein, T., & Osher, S. (2009). The split Bregman method for L1-regularized problems. SIAM Journal on Imaging Sciences, 2(2), 323-343.
-
(2009)
SIAM Journal on Imaging Sciences
, vol.2
, Issue.2
, pp. 323-343
-
-
Goldstein, T.1
Osher, S.2
-
27
-
-
25444480815
-
Blind deconvolution using TV regularization and Bregman iteration
-
DOI 10.1002/ima.20040, Blind Source Separation and De-convolution in Imaging and Image Processing
-
He, L., Marquina, A., & Osher, S. (2005). Blind deconvolution using TV regularization and Bregman iteration. International Journal of Imaging Systems and Technology, 15(1), 74-83. (Pubitemid 41364767)
-
(2005)
International Journal of Imaging Systems and Technology
, vol.15
, Issue.1
, pp. 74-83
-
-
He, L.1
Marquina, A.2
Osher, S.J.3
-
28
-
-
33847728968
-
Nanoscale resolution in far-field fluorescence microscopy
-
P. W. Hawkes & J. C. H. Spence Eds., Berlin: Springer
-
Hell, S., & Schönle, A. (2006). Nanoscale resolution in far-field fluorescence microscopy. In P. W. Hawkes & J. C. H. Spence (Eds.), Science of microscopy. Berlin: Springer.
-
(2006)
Science of Microscopy
-
-
Hell, S.1
Schönle, A.2
-
30
-
-
34249721452
-
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
-
DOI 10.1088/0266-5611/23/3/009, PII S026656110738129X, 009
-
Hofmann, B., Kaltenbacher, B., Pöschl, C., & Scherzer, O. (2007). A Convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Inverse Problems, 23, 987-1010. (Pubitemid 46838837)
-
(2007)
Inverse Problems
, vol.23
, Issue.3
, pp. 987-1010
-
-
Hofmann, B.1
Kaltenbacher, B.2
Poschl, C.3
Scherzer, O.4
-
32
-
-
84907779428
-
A new total variation method for multiplicative noise removal
-
Huang, Y. M., Ng, M. K., & Wen, Y. W. (2009). A new total variation method for multiplicative noise removal. SIAM Journal on Imaging Sciences, 2, 20-40.
-
(2009)
SIAM Journal on Imaging Sciences
, vol.2
, pp. 20-40
-
-
Huang, Y.M.1
Ng, M.K.2
Wen, Y.W.3
-
33
-
-
84988214134
-
Convergence analysis for a multiplicatively relaxed EM algorithm
-
Iusem, A. N. (1991). Convergence analysis for a multiplicatively relaxed EM algorithm. Mathematical Methods in the Applied Sciences, 14, 573-593.
-
(1991)
Mathematical Methods in the Applied Sciences
, vol.14
, pp. 573-593
-
-
Iusem, A.N.1
-
35
-
-
33646724067
-
2+ channel clustering, and vesicle release
-
2+ channel clustering, and vesicle release. Science, 312, 1051-1054.
-
(2006)
Science
, vol.312
, pp. 1051-1054
-
-
Kittel, J.1
-
36
-
-
0031190440
-
Proximal minimization methods with generalized bregman functions
-
PII S0363012995281742
-
Kiwiel, K. (1997). Proximal minimization methods with generalized Bregman functions. SIAM Journal on Control and Optimization, 35, 1142-1168. (Pubitemid 127577145)
-
(1997)
SIAM Journal on Control and Optimization
, vol.35
, Issue.4
, pp. 1142-1168
-
-
Kiwiel, K.C.1
-
37
-
-
0034682512
-
Fluorescence microscopy with diffraction resolution barrier broken by stimulated emission
-
DOI 10.1073/pnas.97.15.8206
-
Klar, T. A., et al. (2000). Fluorescence microscopy with diffraction resolution barrier broken by stimulated emission. PNAS, 97, 8206-8210. (Pubitemid 30639649)
-
(2000)
Proceedings of the National Academy of Sciences of the United States of America
, vol.97
, Issue.15
, pp. 8206-8210
-
-
Klar, T.A.1
Jakobs, S.2
Dyba, M.3
Egner, A.4
Hell, S.W.5
-
38
-
-
34247500347
-
A variational approach to reconstructing images corrupted by poisson noise
-
DOI 10.1007/s10851-007-0652-y
-
Le, T., Chartrand, R., & Asaki, T. J. (2007). A variational approach to reconstructing images corrupted by Poisson noise. Journal of Mathematical Imaging and Vision, 27, 257-263. (Pubitemid 46664094)
-
(2007)
Journal of Mathematical Imaging and Vision
, vol.27
, Issue.3
, pp. 257-263
-
-
Le, T.1
Chartrand, R.2
Asaki, T.J.3
-
39
-
-
70449721128
-
Selection of regularization parameter in total variation image restoration
-
Liao, H., Li, F., & Ng, M. K. (2009). Selection of regularization parameter in total variation image restoration. Journal of the Optical Society of America A, 26, 2311-2320.
-
(2009)
Journal of the Optical Society of America A
, vol.26
, pp. 2311-2320
-
-
Liao, H.1
Li, F.2
Ng, M.K.3
-
40
-
-
51749124719
-
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
-
Lorenz, D. A. (2008). Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Journal of Inverse and Ill-Posed Problems, 16, 463-478.
-
(2008)
Journal of Inverse and Ill-Posed Problems
, vol.16
, pp. 463-478
-
-
Lorenz, D.A.1
-
41
-
-
54749132261
-
Optimal convergence rates for Tikhonov regularization in Besov scales
-
Lorenz, D. A., & Trede, D. (2008). Optimal convergence rates for Tikhonov regularization in Besov scales. Inverse Problems, 24, 055010.
-
(2008)
Inverse Problems
, vol.24
, pp. 055010
-
-
Lorenz, D.A.1
Trede, D.2
-
42
-
-
0001050714
-
An iterative technique for the rectification of observed distributions
-
Lucy, L. B. (1974). An iterative technique for the rectification of observed distributions. The Astronomical Journal, 79, 745-754.
-
(1974)
The Astronomical Journal
, vol.79
, pp. 745-754
-
-
Lucy, L.B.1
-
43
-
-
77951120567
-
Nonlinear inverse scale space methods for total variation blind deconvolution
-
Marquina, A. (2009). Nonlinear inverse scale space methods for total variation blind deconvolution. SIAM Journal on Imaging Sciences, 2(1), 64-83.
-
(2009)
SIAM Journal on Imaging Sciences
, vol.2
, Issue.1
, pp. 64-83
-
-
Marquina, A.1
-
45
-
-
19844370110
-
An iterative regularization method for total variation-based image restoration
-
DOI 10.1137/040605412
-
Osher, S., Burger, M., Goldfarb, D., Xu, J., & Yin, W. (2005). An iterative regularization method for total variation based image restoration. Multiscale Modelling and Simulation, 4, 460-489. (Pubitemid 43885248)
-
(2005)
Multiscale Modeling and Simulation
, vol.4
, Issue.2
, pp. 460-489
-
-
Osher, S.1
Burger, M.2
Goldfarb, D.3
Xu, J.4
Yin, W.5
-
46
-
-
0033345493
-
Total variation regulated EM algorithm
-
Panin, V. Y., Zeng, G. L., & Gullberg, G. T. (1999). Total variation regulated EM algorithm. IEEE Transactions on Nuclear Sciences, NS-46, 2202-2010.
-
(1999)
IEEE Transactions on Nuclear Sciences, NS
, vol.46
, pp. 2202-2010
-
-
Panin, V.Y.1
Zeng, G.L.2
Gullberg, G.T.3
-
48
-
-
84879892422
-
Fluorescence microscopy deconvolution based on Bregman iteration and Richardson-Lucy algorithm with TV regularization
-
T. Tolxdorff, J. Braun, T. M. Deserno, H. Handels, A. Horsch, & H.-P. Meinzer Eds., Berlin: Springer, doi: 10.1007/978-3-540-78640-5-15
-
Remmele, S., Seeland, M., & Hesser, J. (2008). Fluorescence microscopy deconvolution based on Bregman iteration and Richardson-Lucy algorithm with TV regularization. In T. Tolxdorff, J. Braun, T. M. Deserno, H. Handels, A. Horsch, & H.-P. Meinzer (Eds.), Informatik aktuell. Proceedings of the workshop bildverarbeitung für die Medizin 2008 (pp. 72-76). Berlin: Springer. doi: 10.1007/978-3-540-78640-5-15.
-
(2008)
Informatik Aktuell. Proceedings of the Workshop Bildverarbeitung für die Medizin 2008
, pp. 72-76
-
-
Remmele, S.1
Seeland, M.2
Hesser, J.3
-
49
-
-
34547616147
-
Joint additive Kullback-Leibler residual minimization and regularization for linear inverse problems
-
DOI 10.1002/mma.855
-
Resmerita, E., & Anderssen, S. (2007). Joint additive Kullback-Leibler residual minimization and regularization for linear inverse problems. Mathematical Methods in the Applied Sciences, 30, 1527-1544. (Pubitemid 47204318)
-
(2007)
Mathematical Methods in the Applied Sciences
, vol.30
, Issue.13
, pp. 1527-1544
-
-
Resmerita, E.1
Anderssen, R.S.2
-
50
-
-
33744766866
-
Error estimates for non-quadratic regularization and the relation to enhancement
-
DOI 10.1088/0266-5611/22/3/004, PII S0266561106147826
-
Resmerita, E., & Scherzer, O. (2006). Error estimates for non-quadratic regularization and the relation to enhancing. Inverse Problems, 22, 801-814. (Pubitemid 43821177)
-
(2006)
Inverse Problems
, vol.22
, Issue.3
, pp. 801-814
-
-
Resmerita, E.1
Scherzer, O.2
-
51
-
-
36749035731
-
The expectation-maximization algorithm for ill-posed integral equations: A convergence analysis
-
DOI 10.1088/0266-5611/23/6/019, PII S0266561107574605
-
Resmerita, E., et al. (2007). The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Inverse Problems, 23, 2575-2588. (Pubitemid 350212317)
-
(2007)
Inverse Problems
, vol.23
, Issue.6
, pp. 2575-2588
-
-
Resmerita, E.1
Engl, H.W.2
Iusem, A.N.3
-
53
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
Rudin, L. I., Osher, S., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D, 60, 259-268.
-
(1992)
Physica D
, vol.60
, pp. 259-268
-
-
Rudin, L.I.1
Osher, S.2
Fatemi, E.3
-
54
-
-
4344584160
-
Multiplicative denoising and debluring: Theory and algorithms
-
S. Osher & N. Paragios Eds., New York: Springer
-
Rudin, L., Lions, P. L., & Osher, S. (2003). Multiplicative denoising and debluring: theory and algorithms. In S. Osher & N. Paragios (Eds.), Geometric level sets in imaging, vision, and graphics (pp. 103-119). New York: Springer.
-
(2003)
Geometric Level Sets in Imaging, Vision, and Graphics
, pp. 103-119
-
-
Rudin, L.1
Lions, P.L.2
Osher, S.3
-
55
-
-
67649238007
-
Accurate EM-TV algorithm in PET with low SNR
-
Sawatzky, A., Brune, C., Wübbeling, F., Kösters, T., & Schäfers, K. M. B. (2008). Accurate EM-TV algorithm in PET with low SNR. In IEEE nuclear science symposium.
-
(2008)
IEEE Nuclear Science Symposium
-
-
Sawatzky, A.1
Brune, C.2
Wübbeling, F.3
Kösters, T.4
Schäfers, K.M.B.5
-
56
-
-
0013293203
-
Inverse Scale Space Theory for Inverse Problems
-
Scherzer, O., & Groetsch, C. (2001). Inverse scale space theory for inverse problems. In M. Kerckhove (Ed.), Scale-space and morphology in computer vision. Proc. 3rd int. conf. scale-space (pp. 317-325). Berlin: Springer. (Pubitemid 33303194)
-
(2001)
Lecture Notes in Computer Science
, Issue.2106
, pp. 317-325
-
-
Scherzer, O.1
Groetsch, C.2
-
57
-
-
0020194763
-
Maximum likelihood reconstruction for emission tomography
-
Shepp, L. A., & Vardi, Y. (1982). Maximum likelihood reconstruction for emission tomography. IEEE Transactions on Medical Imaging, 1(2), 113-122. (Pubitemid 13557763)
-
(1982)
IEEE Transactions on Medical Imaging
, vol.MI-1
, Issue.2
, pp. 113-122
-
-
Shepp, L.A.1
Vardi, Y.2
-
58
-
-
84907734262
-
A nonlinear inverse scale space method for a convex multiplicative noise model
-
Shi, J., & Osher, S. (2008). A nonlinear inverse scale space method for a convex multiplicative noise model. SIAM Journal on Imaging Sciences, 1(3), 294-321.
-
(2008)
SIAM Journal on Imaging Sciences
, vol.1
, Issue.3
, pp. 294-321
-
-
Shi, J.1
Osher, S.2
-
59
-
-
33847761438
-
Scale recognition, regularization parameter selection, and Meyer's G norm in total variation regularization
-
DOI 10.1137/040621624
-
Strong, D. M., Aujol, J.-F., & Chan, T. F. (2006). Scale recognition, regularization parameter selection, and Meyer's G norm in total variation regularization. Multiscale Modeling & Simulation, 5(1), 273-303. (Pubitemid 46380331)
-
(2006)
Multiscale Modeling and Simulation
, vol.5
, Issue.1
, pp. 273-303
-
-
Strong, D.M.1
Aujol, J.-F.2
Chan, T.F.3
-
60
-
-
0029244182
-
Compensation for readout noise in CCD images
-
Snyder, D. L., Helstrom, C. W., Lanterman, A. D., Faisal, M., & White, R. L. (1995). Compensation for readout noise in CCD images. Journal of the Optical Society of America A, 12, 272-283.
-
(1995)
Journal of the Optical Society of America A
, vol.12
, pp. 272-283
-
-
Snyder, D.L.1
Helstrom, C.W.2
Lanterman, A.D.3
Faisal, M.4
White, R.L.5
-
61
-
-
0010293907
-
A statistical model for positron emission tomography
-
Vardi, Y., Shepp, L. A., & Kaufman, L. (1985). A statistical model for positron emission tomography. Journal of the American Statistical Association, 80(389), 8-20.
-
(1985)
Journal of the American Statistical Association
, vol.80
, Issue.389
, pp. 8-20
-
-
Vardi, Y.1
Shepp, L.A.2
Kaufman, L.3
-
64
-
-
35748933204
-
STED microscopy with continuous wave beams
-
DOI 10.1038/nmeth1108, PII NMETH1108
-
Willig, K. I., Harke, B., Medda, R., & Hell, S. W. (2007). STED microscopy with continuous wave beams. Nature Methods, 4(11), 915-918. (Pubitemid 350042378)
-
(2007)
Nature Methods
, vol.4
, Issue.11
, pp. 915-918
-
-
Willig, K.I.1
Harke, B.2
Medda, R.3
Hell, S.W.4
|