-
1
-
-
79955564733
-
Comparing parameter choice methods for regularization of ill-posed problems
-
Bauer F and Lukas M A 2011 Comparing parameter choice methods for regularization of ill-posed problems Math. Comput. Simul. 81 17951841
-
(2011)
Math. Comput. Simul.
, vol.81
, Issue.9
, pp. 1795-1841
-
-
Bauer, F.1
Lukas, M.A.2
-
2
-
-
33645136947
-
Bayesian wavelet-based image deconvolution: A GEM algorithm exploiting a class of heavy-tailed priors
-
Bioucas-Dias J M 2006 Bayesian wavelet-based image deconvolution: a GEM algorithm exploiting a class of heavy-tailed priors IEEE Trans. Image Process. 15 93751
-
(2006)
IEEE Trans. Image Process.
, vol.15
, Issue.4
, pp. 937-951
-
-
Bioucas-Dias, J.M.1
-
3
-
-
41449101407
-
A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
-
DOI 10.1088/0266-5611/23/5/014, PII S0266561107457860
-
Bonesky T, Bredies K, Lorenz D A and Maass P 2007 A generalized conditional gradient method for nonlinear operator equations with sparsity constraints Inverse Problems 23 204158 (Pubitemid 351453857)
-
(2007)
Inverse Problems
, vol.23
, Issue.5
, pp. 2041-2058
-
-
Bonesky, T.1
Bredies, K.2
Lorenz, D.A.3
Maass, P.4
-
4
-
-
77957703223
-
Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems
-
Bonesky T, Dahlke S, Maass P and Raasch T 2010 Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems Adv. Comput. Math. 33 385411
-
(2010)
Adv. Comput. Math.
, vol.33
, Issue.4
, pp. 385-411
-
-
Bonesky, T.1
Dahlke, S.2
Maass, P.3
Raasch, T.4
-
6
-
-
41449091142
-
Iterated hard shrinkage for minimization problems with sparsity constraints
-
Bredies K and Lorenz D 2008 Iterated hard shrinkage for minimization problems with sparsity constraints SIAM J. Sci. Comput. 30 65783
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, Issue.2
, pp. 657-683
-
-
Bredies, K.1
Lorenz, D.2
-
7
-
-
58849152261
-
A generalized conditional gradient method and its connection to an iterative shrinkage method
-
Bredies K, Lorenz D A and Maass P 2009 A generalized conditional gradient method and its connection to an iterative shrinkage method Comput. Optim. Appl. 42 173
-
(2009)
Comput. Optim. Appl.
, vol.42
, Issue.2
, pp. 173
-
-
Bredies, K.1
Lorenz, D.A.2
Maass, P.3
-
8
-
-
6444243748
-
Convergence rates of convex variational regularization
-
Burger M and Osher S 2004 Convergence rates of convex variational regularization Inverse Problems 20 141121
-
(2004)
Inverse Problems
, vol.20
, Issue.5
, pp. 1411-1421
-
-
Burger, M.1
Osher, S.2
-
9
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
DOI 10.1109/TIT.2005.862083
-
Cand̀s E J, Romberg J and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inform. Theory 52 489509 (Pubitemid 43174093)
-
(2006)
IEEE Transactions on Information Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
12
-
-
0032022704
-
Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
-
PII S1057714998017849
-
Chambolle A, DeVore R A, Lee N-Y and Lucier B J 1998 Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage IEEE Trans. Image Process. 7 31935 (Pubitemid 128745350)
-
(1998)
IEEE Transactions on Image Processing
, vol.7
, Issue.3
, pp. 319-335
-
-
Chambolle, A.1
DeVore, R.A.2
Lee, N.-Y.3
Lucier, B.J.4
-
13
-
-
34548678881
-
A variational formulation for frame-based inverse problems
-
DOI 10.1088/0266-5611/23/4/008, PII S0266561107395865, 008
-
Chaux C, Combettes P L, Pesquet J-C and Wajs V R 2007 A variational formulation for frame-based inverse problems Inverse Problems 23 1495518 (Pubitemid 47411222)
-
(2007)
Inverse Problems
, vol.23
, Issue.4
, pp. 1495-1518
-
-
Chaux, C.1
Combettes, P.L.2
Pesquet, J.-C.3
Wajs, V.R.4
-
16
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
DOI 10.1002/cpa.20042
-
Daubechies I, Defrise M and De Mol C 2004 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint Commun. Pure Appl. Math. 57 141357 (Pubitemid 39427442)
-
(2004)
Communications on Pure and Applied Mathematics
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
17
-
-
57349127864
-
Accelerated projected gradient method for linear inverse problems with sparsity constraints
-
Daubechies I, Fornasier M and Loris I 2008 Accelerated projected gradient method for linear inverse problems with sparsity constraints J. Fourier Anal. Appl. 14 76492
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, Issue.5-6
, pp. 764-792
-
-
Daubechies, I.1
Fornasier, M.2
Loris, I.3
-
18
-
-
0001341095
-
An image enhancement technique for electrical impedance tomography
-
Dobson D C and Santosa F 1994 An image enhancement technique for electrical impedance tomography Inverse Problems 10 31734
-
(1994)
Inverse Problems
, vol.10
, Issue.2
, pp. 317-334
-
-
Dobson, D.C.1
Santosa, F.2
-
19
-
-
0030212858
-
Recovery of blocky images from noisy and blurred data
-
Dobson D C and Santosa F 1996 Recovery of blocky images from noisy and blurred data SIAM J. Appl. Math. 56 118198 (Pubitemid 126551909)
-
(1996)
SIAM Journal on Applied Mathematics
, vol.56
, Issue.4
, pp. 1181-1198
-
-
Dobson, D.C.1
Santosa, F.2
-
20
-
-
0041958932
-
Ideal spatial adaptation via wavelet shrinkage
-
Donoho D L and Johnstone I M 1994 Ideal spatial adaptation via wavelet shrinkage Biometrika 81 42555
-
(1994)
Biometrika
, vol.81
, Issue.3
, pp. 425-455
-
-
Donoho, D.L.1
Johnstone, I.M.2
-
21
-
-
0029288068
-
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
-
Donoho D L 1995 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition Appl. Comput. Harmon. Anal. 2 10126
-
(1995)
Appl. Comput. Harmon. Anal.
, vol.2
, Issue.2
, pp. 101-126
-
-
Donoho, D.L.1
-
24
-
-
39449126969
-
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
-
DOI 10.1109/JSTSP.2007.910281
-
Figueiredo M A T, Nowak R D and Wright S J 2007 Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems IEEE J. Sel. Top. Signal Process. 1 58697 (Pubitemid 351276802)
-
(2007)
IEEE Journal on Selected Topics in Signal Processing
, vol.1
, Issue.4
, pp. 586-597
-
-
Figueiredo, M.A.T.1
Nowak, R.D.2
Wright, S.J.3
-
25
-
-
36749084177
-
Domain decomposition methods for linear inverse problems with sparsity constraints
-
DOI 10.1088/0266-5611/23/6/014, PII S0266561107477127
-
Fornasier M 2007 Domain decomposition methods for linear inverse problems with sparsity constraints Inverse Problems 23 250526 (Pubitemid 350212312)
-
(2007)
Inverse Problems
, vol.23
, Issue.6
, pp. 2505-2526
-
-
Fornasier, M.1
-
30
-
-
0010264747
-
Bayesian and related methods in image reconstruction from incomplete data
-
Hanson K M 1987 Bayesian and related methods in image reconstruction from incomplete data Image Recovery: Theory and Applications (Orlando, FL: Academic) pp 79125
-
(1987)
Image Recovery: Theory and Applications
, pp. 79-125
-
-
Hanson, K.M.1
-
31
-
-
10844236506
-
Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise
-
DOI 10.1088/0266-5611/20/6/005, PII S0266561104719243
-
Bissantz N, Hohage T and Munk A 2004 Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise Inverse Problems 20 177389 (Pubitemid 40002902)
-
(2004)
Inverse Problems
, vol.20
, Issue.6
, pp. 1773-1789
-
-
Bissantz, N.1
Hohage, T.2
Munk, A.3
-
32
-
-
84655163468
-
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization
-
Jin B, Khan T and Maass P 2011 A reconstruction algorithm for electrical impedance tomography based on sparsity regularization Int. J. Num. Methods Eng. DOI: 10.1002/nme.3247
-
(2011)
Int. J. Num. Methods Eng.
-
-
Jin, B.1
Khan, T.2
Maass, P.3
-
33
-
-
0034292512
-
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
-
DOI 10.1088/0266-5611/16/5/321
-
Kaipio J P, Kolehmainen V, Somersalo E and Vauhkonen M 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography Inverse Problems 16 1487522 (Pubitemid 32022179)
-
(2000)
Inverse Problems
, vol.16
, Issue.5
, pp. 1487-1522
-
-
Kaipio, J.P.1
Kolehmainen, V.2
Somersalo, E.3
Vauhkonen, M.4
-
36
-
-
37549026304
-
Shrinkage versus deconvolution
-
DOI 10.1088/0266-5611/23/5/025, PII S0266561107486658
-
Klann E, Kuhn M, Lorenz D A, Maass P and Thiele H 2007 Shrinkage versus deconvolution Inverse Problems 23 223148 (Pubitemid 351453868)
-
(2007)
Inverse Problems
, vol.23
, Issue.5
, pp. 2231-2248
-
-
Klann, E.1
Kuhn, M.2
Lorenz, D.A.3
Maass, P.4
Thiele, H.5
-
37
-
-
0038119664
-
Statistical inversion for medical x-ray tomography with few radiographs: II. Application to dental radiology
-
DOI 10.1088/0031-9155/48/10/315, PII S0031915503578010
-
Kolehmainen V, Siltanen S, Jrvenp S, Kaipio J P, Koistinen P, Lassas M, Pirttil J and Somersalo E 2003 Statistical inversion for x-ray tomography with few radiographs: Part II. Application to dental radiology Phys. Med. Biol. 48 146590 (Pubitemid 36700476)
-
(2003)
Physics in Medicine and Biology
, vol.48
, Issue.10
, pp. 1465-1490
-
-
Kolehmainen, V.1
Siltanen, S.2
Jarvenpaa, S.3
Kaipio, J.P.4
Koistinen, P.5
Lassas, M.6
Pirttila, J.7
Somersalo, E.8
-
38
-
-
31644444909
-
Parallelized Bayesian inversion for three-dimensional dental X-ray imaging
-
DOI 10.1109/TMI.2005.862662
-
Kolehmainen V, Vanne S, Siltanen S, Jrvenp S, Kaipio J P, Lassas M and Kalke M 2006 Parallelized Bayesian inversion for three-dimensional dental x-ray imaging IEEE Trans. Med. Imaging 25 21828 (Pubitemid 43172576)
-
(2006)
IEEE Transactions on Medical Imaging
, vol.25
, Issue.2
, pp. 218-228
-
-
Kolehmainen, V.1
Vanne, A.2
Siltanen, S.3
Jarvenpaa, S.4
Kaipio, J.P.5
Lassas, M.6
Kalke, M.7
-
39
-
-
6344231795
-
Can one use total variation prior for edge preserving Bayesian inversion?
-
Lassas M and Siltanen S 2004 Can one use total variation prior for edge preserving Bayesian inversion? Inverse Problems 20 153764
-
(2004)
Inverse Problems
, vol.20
, Issue.5
, pp. 1537-1564
-
-
Lassas, M.1
Siltanen, S.2
-
40
-
-
70450218926
-
Discretization-invariant Bayesian inversion and Besov space priors
-
Lassas M, Saksman E and Siltanen S 2009 Discretization-invariant Bayesian inversion and Besov space priors Inverse Problems Imaging 3 87122
-
(2009)
Inverse Problems Imaging
, vol.3
, Issue.1
, pp. 87-122
-
-
Lassas, M.1
Saksman, E.2
Siltanen, S.3
-
43
-
-
0006684185
-
Linear inverse problems for generalized random variables
-
Lehtinen M, Pivrinta L and Somersalo E 1989 Linear inverse problems for generalized random variables Inverse Problems 5 599612
-
(1989)
Inverse Problems
, vol.5
, Issue.4
, pp. 599-612
-
-
Lehtinen, M.1
Pivrinta, L.2
Somersalo, E.3
-
45
-
-
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 J. Inverse Ill-Posed Problems 16 46378
-
(2008)
J. Inverse Ill-Posed Problems
, vol.16
, Issue.5
, pp. 463-478
-
-
Lorenz, D.A.1
-
46
-
-
67349184763
-
Sparse recovery by the standard Tikhonov method
-
Lu S and Pereverzev S V 2009 Sparse recovery by the standard Tikhonov method Numer. Math. 112 40324
-
(2009)
Numer. Math.
, vol.112
, Issue.3
, pp. 403-424
-
-
Lu, S.1
Pereverzev, S.V.2
-
47
-
-
4544361653
-
Expanded uncertainty quantification in inverse problems: Hierarchical Bayes and empirical Bayes
-
Matinverno A and Briggs V A 2004 Expanded uncertainty qualification in inverse problems: hierarchical Bayes and empirical Bayes Geophysics 69 100516 (Pubitemid 39259776)
-
(2004)
Geophysics
, vol.69
, Issue.4
, pp. 1005-1016
-
-
Malinverno, A.1
Briggs, V.A.2
-
48
-
-
0000561116
-
On the implementation of a primal-dual interior point method
-
Mehrotra S 1992 On the implementation of a primal-dual interior point method SIAM J. Optim. 2 575601
-
(1992)
SIAM J. Optim.
, vol.2
, Issue.4
, pp. 575-601
-
-
Mehrotra, S.1
-
50
-
-
0029481451
-
Monte Carlo sampling of solutions to inverse problems
-
Mosegaard K and Tarantola A 1995 Monte Carlo sampling of solutions to inverse problems J. Geophys. Res. B 14 1243147
-
(1995)
J. Geophys. Res.
, vol.100
, Issue.B7
, pp. 12431-12447
-
-
Mosegaard, K.1
Tarantola, A.2
-
51
-
-
57649124200
-
Prior modelling and posterior sampling in impedance imaging
-
Nicholls G K and Fox C 1998 Prior modelling and posterior sampling in impedance imaging Bayesian Inference for Inverse Problems (Proc. SPIE vol 3459) ed A Mohammad-Djafari (Bellingham, WA: SPIE Optical Engineering Press) pp 11627
-
(1998)
Bayesian Inference for Inverse Problems
, pp. 116-127
-
-
Nicholls, G.K.1
Fox, C.2
-
52
-
-
35848962958
-
Bayesian multiresolution method for local tomography in dental x-ray imaging
-
DOI 10.1088/0031-9155/52/22/008, PII S0031915507482719
-
Niinimki K, Kolehmainen V and Siltanen S 2007 Bayesian multiresolution method for local tomography in dental x-ray imaging Phys. Med. Biol. 52 666378 (Pubitemid 350058954)
-
(2007)
Physics in Medicine and Biology
, vol.52
, Issue.22
, pp. 6663-6678
-
-
Niinimaki, K.1
Siltanen, S.2
Kolehmainen, V.3
-
55
-
-
54749146890
-
Regularization properties of Tikhonov regularization with sparsity constraints
-
Ramlau R 2008 Regularization properties of Tikhonov regularization with sparsity constraints Electron. Trans. Numer. Anal. 30 5474
-
(2008)
Electron. Trans. Numer. Anal.
, vol.30
, pp. 54-74
-
-
Ramlau, R.1
-
56
-
-
33748848713
-
A Tikhonov-based projection iteration for nonlinear Ill-posed problems with sparsity constraints
-
DOI 10.1007/s00211-006-0016-3
-
Ramlau R and Teschke G 2006 A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints Numer. Math. 104 177203 (Pubitemid 44421163)
-
(2006)
Numerische Mathematik
, vol.104
, Issue.2
, pp. 177-203
-
-
Ramlau, R.1
Teschke, G.2
-
57
-
-
31644448442
-
Wavelet-based reconstruction for limited-angle X-ray tomography
-
DOI 10.1109/TMI.2005.862206
-
Rantala M, Vnsk S, Jrvenp S, Kalke M, Lassas M, Moberg J and Siltanen S 2006 Wavelet-based reconstruction for limited-angle x-ray tomography IEEE Trans. Med. Imaging 25 2107 (Pubitemid 43172575)
-
(2006)
IEEE Transactions on Medical Imaging
, vol.25
, Issue.2
, pp. 210-217
-
-
Rantala, M.1
Vanska, S.2
Jarvenpaa, S.3
Kalke, M.4
Lassas, M.5
Moberg, J.6
Siltanen, S.7
-
58
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
Rudin L I, Osher S and Fatemi E 1992 Nonlinear total variation based noise removal algorithms Physica D 60 25968
-
(1992)
Physica
, vol.60
, Issue.1-4
, pp. 259-268
-
-
Rudin, L.I.1
Osher, S.2
Fatemi, E.3
-
61
-
-
0037782046
-
Statistical inversion for medical x-ray tomography with few radiographs: I. General theory
-
DOI 10.1088/0031-9155/48/10/314, PII S0031915503578009
-
Siltanen S, Kolehmainen V, Jrvenp S, Kaipio J P, Koistinen P, Lassas M, Pirttil J and Somersalo E 2003 Statistical inversion for x-ray tomography with few radiographs: Part I. General theory Phys. Med. Biol. 48 143763 (Pubitemid 36700475)
-
(2003)
Physics in Medicine and Biology
, vol.48
, Issue.10
, pp. 1437-1463
-
-
Siltanen, S.1
Kolehmainen, V.2
Jarvenpaa, S.3
Kaipio, J.P.4
Koistinen, P.5
Lassas, M.6
Pirttila, J.7
Somersalo, E.8
-
67
-
-
70350328441
-
On Tikhonov regularization with non-convex sparsity constraints
-
Zarzer C A 2009 On Tikhonov regularization with non-convex sparsity constraints Inverse Problems 25 025006
-
(2009)
Inverse Problems
, vol.25
, Issue.2
-
-
Zarzer, C.A.1
|