-
2
-
-
0347900521
-
TV-based image restoration with local constraints
-
M. BERTALMIO, V. CASELLES, B. ROUGE, AND A. SOLE, TV-based image restoration with local constraints, J. Sci. Comput., 19 (2003), pp. 95-122.
-
(2003)
J. Sci. Comput.
, vol.19
, pp. 95-122
-
-
Bertalmio, M.1
Caselles, V.2
Rouge, B.3
Sole, A.4
-
4
-
-
0033181496
-
Regularization by functions of bounded variation and applications to image enhancement
-
E. CASAS, K. KUNISCH, AND C. POLA, Regularization by functions of bounded variation and applications to image enhancement, Appl. Math. Optim., 40 (1999), pp. 229-257.
-
(1999)
Appl. Math. Optim.
, vol.40
, pp. 229-257
-
-
Casas, E.1
Kunisch, K.2
Pola, C.3
-
5
-
-
0031492191
-
Image recovery via total variation minimization and related problems
-
A. CHAMBOLLE AND P.-L. LIONS, Image recovery via total variation minimization and related problems, Numer. Math., 76 (1997), pp. 167-188.
-
(1997)
Numer. Math.
, vol.76
, pp. 167-188
-
-
Chambolle, A.1
Lions, P.-L.2
-
6
-
-
0033295350
-
A nonlinear primal-dual method for total variation-based image restoration
-
T. CHAN, G. GOLUB, AND P. MULET, A nonlinear primal-dual method for total variation-based image restoration, SIAM J. Sci. Comput., 20 (1999), pp. 1964-1977.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 1964-1977
-
-
Chan, T.1
Golub, G.2
Mulet, P.3
-
7
-
-
0035074671
-
High-order total variation-based image restoration
-
T. CHAN, A. MARQUINA, AND P. MULET, High-order total variation-based image restoration, SIAM J. Sci. Comput., 22 (2000), pp. 503-516.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 503-516
-
-
Chan, T.1
Marquina, A.2
Mulet, P.3
-
9
-
-
0000427927
-
Convergence of an iterative method for total variation denoising
-
D. C. DOBSON AND C. R. VOGEL, Convergence of an iterative method for total variation denoising, SIAM J. Numer. Anal., 34 (1997), pp. 1779-1791.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1779-1791
-
-
Dobson, D.C.1
Vogel, C.R.2
-
11
-
-
0002125350
-
Convex analysis and variational problems
-
SIAM, Philadelphia
-
I. EKELAND AND R. TÉMAM, Convex Analysis and Variational Problems, Classics Appl. Math. 28, SIAM, Philadelphia, 1999.
-
(1999)
Classics Appl. Math.
, vol.28
-
-
Ekeland, I.1
Témam, R.2
-
12
-
-
0003343498
-
Minimal surfaces and functions of bounded variation
-
Birkhäuser-Verlag, Basel
-
E. GIUSTI, Minimal Surfaces and Functions of Bounded Variation, Monogr. Math. 80, Birkhäuser-Verlag, Basel, 1984.
-
(1984)
Monogr. Math.
, vol.80
-
-
Giusti, E.1
-
13
-
-
0041657515
-
The primal-dual active set strategy as a semismooth Newton method
-
M. HINTERMÜLLER, K. ITO, AND K. KUNISCH, The primal-dual active set strategy as a semismooth Newton method, SIAM J. Optim., 13 (2003), pp. 865-888.
-
(2003)
SIAM J. Optim.
, vol.13
, pp. 865-888
-
-
Hintermüller, M.1
Ito, K.2
Kunisch, K.3
-
14
-
-
4544249333
-
Total bounded variation regularization as bilaterally constrained optimization problem
-
M. HINTERMÜLLER AND K. KUNISCH, Total bounded variation regularization as bilaterally constrained optimization problem, SIAM J. Appl. Math., 64 (2004), pp. 1311-1333.
-
(2004)
SIAM J. Appl. Math.
, vol.64
, pp. 1311-1333
-
-
Hintermüller, M.1
Kunisch, K.2
-
15
-
-
0033457563
-
An active set strategy based on the augmented Lagrangian formulation for image restoration
-
K. ITO AND K. KUNISCH, An active set strategy based on the augmented Lagrangian formulation for image restoration, M2AN Math. Model. Numer. Anal., 33 (1999), pp. 1-21.
-
(1999)
M2AN Math. Model. Numer. Anal.
, vol.33
, pp. 1-21
-
-
Ito, K.1
Kunisch, K.2
-
16
-
-
0001592307
-
-
Inverse Problems
-
K. ITO AND K. KUNISCH, BV-type regularization methods for convoluted objects with edge, flat and grey scales, Inverse Problems, 16 (2000), pp. 909-928.
-
(2000)
BV-type Regularization Methods for Convoluted Objects with Edge, Flat and Grey Scales
, vol.16
, pp. 909-928
-
-
Ito, K.1
Kunisch, K.2
-
17
-
-
0033164216
-
Nonmonotone and monotone active-set methods for image restoration. I. Convergence analysis
-
T. KÄRKKÄINEN AND K. MAJAVA, Nonmonotone and monotone active-set methods for image restoration. I. Convergence analysis, J. Optim. Theory Appl., 106 (2000), pp. 61-80.
-
(2000)
J. Optim. Theory Appl.
, vol.106
, pp. 61-80
-
-
Kärkkäinen, T.1
Majava, K.2
-
18
-
-
0033164074
-
Nonmonotone and monotone active-set methods for image restoration. II. Numerical results
-
T. KÄRKKÄINEN AND K. MAJAVA, Nonmonotone and monotone active-set methods for image restoration. II. Numerical results, J. Optim. Theory Appl., 106 (2000), pp. 81-105.
-
(2000)
J. Optim. Theory Appl.
, vol.106
, pp. 81-105
-
-
Kärkkäinen, T.1
Majava, K.2
-
19
-
-
0035661920
-
-
Inverse Problems
-
T. KÄRKKÄINEN, K. MAJAVA, AND M. M. MÄKELÄ, Comparison of formulations and solution methods for image restoration problems, Inverse Problems, 17 (2001), pp. 1977-1995.
-
(2001)
Comparison of Formulations and Solution Methods for Image Restoration Problems
, vol.17
, pp. 1977-1995
-
-
Kärkkäinen, T.1
Majava, K.2
Mäkelä, M.M.3
-
20
-
-
0037410898
-
Total variation based convex filters for medical imaging
-
S. L. KEELING, Total variation based convex filters for medical imaging, Appl. Math. Comput., 139 (2003), pp. 101-119.
-
(2003)
Appl. Math. Comput.
, vol.139
, pp. 101-119
-
-
Keeling, S.L.1
-
21
-
-
0342454112
-
-
Report CTC94TR201, Cornell Theory Center, Cornell University, Ithaca, NY
-
Y. LI AND F. SANTOSA, An Affine Scaling Algorithm for Minimizing Total Variation in Image Enhancement, Report CTC94TR201, Cornell Theory Center, Cornell University, Ithaca, NY, 1994.
-
(1994)
An Affine Scaling Algorithm for Minimizing Total Variation in Image Enhancement
-
-
Li, Y.1
Santosa, F.2
-
22
-
-
0000012763
-
Semismooth and semiconvex functions in constrained optimization
-
R. MIFFLIN, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optim., 15 (1977), pp. 959-972.
-
(1977)
SIAM J. Control Optim.
, vol.15
, pp. 959-972
-
-
Mifflin, R.1
-
23
-
-
0043256486
-
-
CAM-Report 02-57, UCLA, Los Angeles, CA
-
-1 -Norm, CAM-Report 02-57, UCLA, Los Angeles, CA, 2002.
-
(2002)
-1 -Norm
-
-
Osher, S.1
Solé, A.2
Vese, L.3
-
25
-
-
0027543961
-
A nonsmooth version of Newton's method
-
L. Q. QI AND J. SUN, A nonsmooth version of Newton's method, Math. Program., 58 (1993), pp. 353-367.
-
(1993)
Math. Program.
, vol.58
, pp. 353-367
-
-
Qi, L.Q.1
Sun, J.2
-
26
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
L. I. RUDIN, S. OSHER, AND E. FATEMI, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259-268.
-
(1992)
Phys. D
, vol.60
, pp. 259-268
-
-
Rudin, L.I.1
Osher, S.2
Fatemi, E.3
-
28
-
-
0028423131
-
Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals
-
C. SCHNORR, Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals, J. Math. Imaging Vision, 4 (1994), pp. 189-198.
-
(1994)
J. Math. Imaging Vision
, vol.4
, pp. 189-198
-
-
Schnorr, C.1
-
30
-
-
0031493529
-
Newton and quasi-Newton methods for a class of nonsmooth equations and related problems
-
D. SUN AND J. HAN, Newton and quasi-Newton methods for a class of nonsmooth equations and related problems, SIAM J. Optim., 7 (1997), pp. 463-480.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 463-480
-
-
Sun, D.1
Han, J.2
-
31
-
-
0008990735
-
Nonsmooth regularization, in inverse problems in geophysical applications
-
(Yosemite, CA, 1995), H. W. Engl, A. K. Louis, and W. Rundell, eds.
-
C. R. VOGEL, Nonsmooth regularization, in Inverse Problems in Geophysical Applications (Yosemite, CA, 1995), H. W. Engl, A. K. Louis, and W. Rundell, eds., SIAM, 1997, pp. 1-11.
-
(1997)
SIAM
, pp. 1-11
-
-
Vogel, C.R.1
-
32
-
-
4043182719
-
Computational methods for inverse problems
-
SIAM, Philadelphia
-
C. R. VOGEL, Computational Methods for Inverse Problems, Frontiers Appl. Math. 23, SIAM, Philadelphia, 2002.
-
(2002)
Frontiers Appl. Math.
, vol.23
-
-
Vogel, C.R.1
-
33
-
-
0001556589
-
Iterative methods for total variation denoising
-
C. R. VOGEL AND M. E. OMAN, Iterative methods for total variation denoising, SIAM J. Sci. Comput., 17 (1996), pp. 227-238.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 227-238
-
-
Vogel, C.R.1
Oman, M.E.2
-
34
-
-
3142527273
-
Semi-conjugate direction methods for real positive definite systems
-
J. Y. YUAN, G. H. GOLUB, R. J. PLEMMONS, AND W. A. G. CECÍLIO, Semi-conjugate direction methods for real positive definite systems, BIT, 44 (2004), pp. 189-207.
-
(2004)
BIT
, vol.44
, pp. 189-207
-
-
Yuan, J.Y.1
Golub, G.H.2
Plemmons, R.J.3
Cecílio, W.A.G.4
|