-
2
-
-
0026883172
-
Digital-lters As Absolute Norm Regularizers
-
On Signal Process
-
S. Alliney, Digital -lters as absolute norm regularizers, IEEE Trans. On Signal Process. 40(6): 1548-1562, 1992.
-
(1992)
IEEE Trans
, vol.40
, Issue.6
, pp. 1548-1562
-
-
Alliney, S.1
-
3
-
-
84948155424
-
Scales in natural images and a consequence on their bounded variation norm
-
L. Alvarez, Y. Gousseau, J.-M. Morel, Scales in natural images and a consequence on their bounded variation norm, LNCS 1682: 247-258, 1999
-
(1999)
LNCS
, vol.1682
, pp. 247-258
-
-
Alvarez, L.1
Gousseau, Y.2
Morel, J.-M.3
-
4
-
-
34249965244
-
Variational problems in SBV and image segmentation
-
L. Ambrosio, Variational problems in SBV and image segmentation, Acta Appl. Math., 17: 1-40, 1989.
-
(1989)
Acta Appl. Math
, vol.17
, pp. 1-40
-
-
Ambrosio, L.1
-
5
-
-
17444396382
-
-
Applied Mathematics and Optimization, March
-
G. Aubert and J.-F. Aujol, Modeling very oscillating signals. Application to image processing, Applied Mathematics and Optimization, Vol. 51, no. 2, pp. 163-182, March 2005.
-
(2005)
Modeling Very Oscillating Signals. Application to Image Processing
, vol.51
, Issue.2
, pp. 163-182
-
-
Aubert, G.1
Aujol, J.-F.2
-
6
-
-
35248822315
-
-
LNCS
-
J.-F. Aujol, G. Aubert, L. Blanc-Féraud, and A. Chambolle, Im- age decomposition. Application to SAR images, LNCS 2695: 297-312, 2003.
-
(2003)
Im-Age Decomposition. Application to SAR Images
, vol.2695
, pp. 297-312
-
-
Aujol, J.-F.1
Aubert, G.2
Blanc-Féraud, L.3
Chambolle, A.4
-
7
-
-
14844353365
-
Dual norms and image decomposition models, Intern
-
J.-F Aujol and A. Chambolle, Dual norms and image decomposition models, Intern. J. Comput. Vision, 63(2005), pp. 85-104.
-
(2005)
J. Comput. Vision
, vol.63
, pp. 85-104
-
-
Aujol, J.-F.1
Chambolle, A.2
-
9
-
-
0011235023
-
A Variational method in Image Recovery
-
G. Aubert and L. Vese, A Variational method in Image Recovery, SIAM Journal on Numerical Analysis, 34 (5): 1948-1979, 1997.
-
(1997)
SIAM Journal on Numerical Analysis
, vol.34
, Issue.5
, pp. 1948-1979
-
-
Aubert, G.1
Vese, L.2
-
10
-
-
27844461945
-
Aspects of total variation regularized L1 function approximation
-
T. F. Chan and S. Esedoglu, Aspects of total variation regularized L1 function approximation, Siam J. Appl. Math., Vol. 65, No. 5, pp. 1817-1837, 2005.
-
(2005)
Siam J. Appl. Math
, vol.65
, Issue.5
, pp. 1817-1837
-
-
Chan, T.F.1
Esedoglu, S.2
-
11
-
-
34548174924
-
-
Math 199 REU project, UCLA Depart- ment of Mathematics, Spring-Summer
-
E. Cheon, A. Paranjpye, L. Vese and S. Osher, Noise Removal Project by Total Variation Minimization, Math 199 REU project, UCLA Depart- ment of Mathematics, Spring-Summer 2002.
-
(2002)
Noise Removal Project by Total Variation Minimization
-
-
Cheon, E.1
Paranjpye, A.2
Vese, L.3
Osher, S.4
-
12
-
-
33645671221
-
-
in Computational Imaging IV, C.A. Bouman, E.L. Miller, I. Pollak, eds., Proc. of SPIE-IS&T Electronic Imaging, SPIE 6065, pp. 60650J-1 { 60650J-15
-
G. Chung, T. Le, L. H. Lieu, N. Tanushev, and L. Vese, Computa- tional methods for image restoration, image segmentation, and texture mod- eling, in Computational Imaging IV, C.A. Bouman, E.L. Miller, I. Pollak, eds., Proc. of SPIE-IS&T Electronic Imaging, SPIE 6065, pp. 60650J-1 { 60650J-15, 2006.
-
(2006)
Computational Methods For Image Restoration, Image Segmentation, and Texture Mod- Eling
-
-
Chung, G.1
Le, T.2
Lieu, L.H.3
Tanushev, N.4
Vese, L.5
-
13
-
-
0002001578
-
Wavelets and Statistics
-
A. Antoniadis and G. Oppenheim, eds., Springer- Verlag, New York
-
R.R. Coifman and D. Donoho, Translation-invariant De-Noising, in Wavelets and Statistics, A. Antoniadis and G. Oppenheim, eds., Springer- Verlag, New York, pp. 125-150, 1995.
-
(1995)
Translation-invariant De-Noising
, pp. 125-150
-
-
Coifman, R.R.1
Donoho, D.2
-
14
-
-
2142812533
-
-
Wavelet Applications in Industrial Processing, Proc. SPIE 5226, F. Truchetet, ed., SPIE, Bellingham, WA
-
I. Daubechies and G.Teschke, Wavelet based image decomposition by variational functionals, in Wavelet Applications in Industrial Processing, Proc. SPIE 5226, F. Truchetet, ed., SPIE, Bellingham, WA, 2004, pp. 94- 105.
-
(2004)
Wavelet Based Image Decomposition By Variational Functionals
, pp. 94-105
-
-
Daubechies, I.1
Teschke, G.2
-
17
-
-
84972538870
-
BMO from Dyadic BMO
-
J. B. Garnett and P. W. Jones, BMO from Dyadic BMO, Pacic Journal of Mathematics, Vol. 99, No. 2, pp. 351-371, 1982.
-
(1982)
Pacic Journal of Mathematics
, vol.99
, Issue.2
, pp. 351-371
-
-
Garnett, J.B.1
Jones, P.W.2
-
18
-
-
34249800358
-
Variational Image Decompositions Using Bounded Variations and Generalized Homogeneous Besov Spaces
-
J.B. Garnett, T.M. Le, Y. Meyer and L.A. Vese, Variational Image Decompositions Using Bounded Variations and Generalized Homogeneous Besov Spaces, Appl. Comput. Harmon. Anal. 23, pp. 25-56, 2007.
-
(2007)
Appl. Comput. Harmon. Anal
, vol.23
, pp. 25-56
-
-
Garnett, J.B.1
Le, T.M.2
Meyer, Y.3
Vese, L.A.4
-
19
-
-
0021518209
-
Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images
-
D. Geman and S. Geman, Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images, IEEE Trans. Pattern Anal. Mach. In- tell., 6, 721-741, 1984.
-
(1984)
IEEE Trans. Pattern Anal. Mach. In-Tell
, vol.6
, pp. 721-741
-
-
Geman, D.1
Geman, S.2
-
22
-
-
79952273966
-
Variational methods in image processing
-
AMS
-
A. Haddad and Y. Meyer, Variational Methods in Image Processing, Contemporary Mathematics, AMS, Vol 446, pp. 273-295, 2007.
-
(2007)
Contemporary Mathematics
, vol.446
, pp. 273-295
-
-
Haddad, A.1
Meyer, Y.2
-
24
-
-
84980082306
-
On Functions of Bounded Mean Oscillation
-
F. John and L. Nirenberg, On Functions of Bounded Mean Oscillation, Comm. Pure Appl. Math., 14, 415-426, 1961.
-
(1961)
Comm. Pure Appl. Math
, vol.14
, pp. 415-426
-
-
John, F.1
Nirenberg, L.2
-
25
-
-
0035863969
-
Well-posedness for the Navier-Stokes Equations
-
H. Koch and D. Tataru, Well-posedness for the Navier-Stokes Equations, Adv. in Math., vol. 157, pp. 22-35, 2001.
-
(2001)
Adv. In Math
, vol.157
, pp. 22-35
-
-
Koch, H.1
Tataru, D.2
-
27
-
-
59849109623
-
F{cyrillic},F{cyrillic}*) Image decomposition models and minimization algorithms
-
T.M. Le, L. Lieu and L.A. Vese, (F{cyrillic},F{cyrillic}*) Image Decomposition Models and Minimization Algorithms, JMIV 33(2): 135-148, 2009.
-
(2009)
JMIV
, vol.33
, Issue.2
, pp. 135-148
-
-
Le, T.M.1
Lieu, L.2
Vese, L.A.3
-
28
-
-
33645696337
-
Image decomposition using total variation and div(BMO), multiscale model
-
T.M. Le and L.A. Vese, Image Decomposition Using Total Variation and div(BMO), Multiscale Model. Simul., Vol. 4, No. 2, pp. 390-423, 2005.
-
(2005)
Simul
, vol.4
, Issue.2
, pp. 390-423
-
-
Le, T.M.1
Vese, L.A.2
-
29
-
-
35549003114
-
Contribution to Problems in Image Restoration, Decomposition, and Segmentation by Variational Methods and Partial Differential Equations
-
Ph.D. Thesis UCLA CAM Report June
-
L. Lieu, Contribution to Problems in Image Restoration, Decomposition, and Segmentation by Variational Methods and Partial Differential Equations, (Ph.D. Thesis), UCLA CAM Report 06-46, June 2006.
-
(2006)
, pp. 06-46
-
-
Lieu, L.1
-
30
-
-
51849090507
-
Image restoration and decomposition via bounded total variation and negative hilbert-sobolev spaces
-
L. Lieu and L. Vese, Image Restoration and Decomposition via Bounded Total Variation and Negative Hilbert-Sobolev Spaces, Applied Mathematics & Optimization 58: 167-193, 2008.
-
(2008)
Applied Mathematics & Optimization
, vol.58
, pp. 167-193
-
-
Lieu, L.1
Vese, L.2
-
32
-
-
3042616632
-
∞,p constraints
-
S. Lintner and F. Malgouyres, Solving a variational image restoration model which involves L constraints, Inverse Problems, vol. 20, no. 3, pp 815-831, 2004.
-
(2004)
Inverse Problems
, vol.20
, Issue.3
, pp. 815-831
-
-
Lintner, S.1
Malgouyres, F.2
-
33
-
-
0013212026
-
Mathematical Analysis of a Model Which Combines To-tal Variation and Wavelet for Image Restoration
-
F. Malgouyres, Mathematical Analysis of a Model Which Combines To- tal Variation and Wavelet for Image Restoration, Journal of Information Processes, vol.2, num. 1, pp 1-10, 2002.
-
(2002)
Journal of Information Processes
, vol.2
, Issue.1
, pp. 1-10
-
-
Malgouyres, F.1
-
34
-
-
79952260231
-
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
-
University Lecture Series
-
Y. Meyer, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations, University Lecture Series, Col. 22, Amer. Math. Soc., 2001.
-
(2001)
Col. 22, Amer. Math
-
-
Meyer, Y.1
-
36
-
-
0035281916
-
Stochastic models for generic images
-
D. Mumford and B. Gidas, Stochastic models for generic images, Quar- terly of Applied Mathematics, Vol. 59, Issue 1, pp. 85-111, 2001.
-
(2001)
Quar-Terly of Applied Mathematics
, vol.59
, Issue.1
, pp. 85-111
-
-
Mumford, D.1
Gidas, B.2
-
37
-
-
84990602490
-
Optimal approximations by piecewise smooth functions and associated variational problems, Comm
-
D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Applied Mathe-matics, 42(5): 577-685, 1989.
-
(1989)
Pure Applied Mathe-Matics
, vol.42
, Issue.5
, pp. 577-685
-
-
Mumford, D.1
Shah, J.2
-
38
-
-
33745090300
-
G-Norm properties of bounded variation regularization
-
S. Osher and O. Scherzer, G-Norm Properties of Bounded Variation Regularization, Commun. Math. Sci. Vol. 2, no. 2, pp. 237-254, 2004.
-
(2004)
Commun. Math. Sci
, vol.2
, Issue.2
, pp. 237-254
-
-
Osher, S.1
Scherzer, O.2
-
41
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
L. Rudin, S. Osher, E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D, 60, pp. 259-268, 1992.
-
(1992)
Physica D
, vol.60
, pp. 259-268
-
-
Rudin, L.1
Osher, S.2
Fatemi, E.3
-
42
-
-
1242286100
-
Image Decomposition: Sepa-Ration of Texture from Piecewise Smooth Content
-
SPIE's 48th Annual Meeting 3-8 August, San Diego
-
J.-L. Starck, M. Elad, and D.L. Donoho, Image Decomposition: Sepa- ration of Texture from Piecewise Smooth Content, SPIE conference on Signal and Image Processing: Wavelet Applications in Signal and Image Processing X, SPIE's 48th Annual Meeting, 3-8 August 2003, San Diego.
-
(2003)
SPIE Conference On Signal and Image Processing: Wavelet Applications In Signal and Image Processing X
-
-
Starck, J.-L.1
Elad, M.2
Donoho, D.L.3
-
43
-
-
0003552286
-
-
Princeton University Press, Princeton, New Jersey
-
E.M. Stein, Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, Princeton, New Jersey, 1993.
-
(1993)
Real Variable Methods, Orthogonality, and Oscillatory Integrals
-
-
Stein, E.M.1
Analysis, H.2
-
44
-
-
0038755916
-
Bounded Mean Oscillation and Sobolev Spaces
-
R.S. Strichartz, Bounded Mean Oscillation and Sobolev Spaces, Indiana Univ. Math. J., vol. 29, pp. 539-558, 1980.
-
(1980)
Indiana Univ. Math. J
, vol.29
, pp. 539-558
-
-
Strichartz, R.S.1
-
45
-
-
84966260553
-
Traces of BMO-Sobolev spaces
-
R.S. Strichartz, Traces of BMO-Sobolev spaces, Proc. Amer. Math. Soc., vol. 83(3), pp. 509-513, 1981.
-
(1981)
Proc. Amer. Math. Soc
, vol.83
, Issue.3
, pp. 509-513
-
-
Strichartz, R.S.1
-
47
-
-
0346316863
-
Edge-preserving and scale-dependent properties of total variation regularization
-
D. Strong and T. Chan, Edge-preserving and scale-dependent properties of total variation regularization, Inverse Problems 19, S165-S187, 2003.
-
(2003)
Inverse Problems
, vol.19
-
-
Strong, D.1
Chan, T.2
-
48
-
-
0042891045
-
Characterizations of Besov-Hardy-Sobolev spaces via Harmonic functions, temperatures and related means
-
H. Triebel, Characterizations of Besov-Hardy-Sobolev spaces via Harmonic functions, temperatures and related means, J. Approximation Theory, vol. 35, pp. 275-297, 1982.
-
(1982)
J. Approximation Theory
, vol.35
, pp. 275-297
-
-
Triebel, H.1
-
49
-
-
0003216183
-
Theory of Function Spaces II, BirkhÄauser
-
H. Triebel, Theory of Function Spaces II, BirkhÄauser, Monographs in Mathematics vol. 84, 1992
-
(1992)
Monographs In Mathematics
, vol.84
-
-
Triebel, H.1
-
50
-
-
0011021531
-
A study in the BV space of a denoising-deblurring variational problem
-
L. Vese, A study in the BV space of a denoising-deblurring variational problem, Applied Mathematics and Optimization, 44 (2):131-161, 2001.
-
(2001)
Applied Mathematics and Optimization
, vol.44
, Issue.2
, pp. 131-161
-
-
Vese, L.1
-
51
-
-
0347900511
-
Modeling Textures with Total variation Minimiza- tion and Oscillating Patterns in Image Processing
-
L. Vese and S. Osher, Modeling Textures with Total variation Minimiza- tion and Oscillating Patterns in Image Processing, Journal of Scienti-c Com- puting, 19(1-3), pp. 553-572, 2003.
-
(2003)
Journal of Scientific Com-Puting
, vol.19
, Issue.1-3
, pp. 553-572
-
-
Vese, L.1
Osher, S.2
-
52
-
-
1242265490
-
Image Denoising and Decomposition with To- tal Variation Minimization and Oscillatory Functions
-
L.A. Vese and S.J. Osher, Image Denoising and Decomposition with To- tal Variation Minimization and Oscillatory Functions, Journal of Mathe- matical Imaging and Vision, 20: 7-18, 2004
-
(2004)
Journal of Mathe- Matical Imaging and Vision
, vol.20
, pp. 7-18
-
-
Vese, L.A.1
Osher, S.J.2
-
53
-
-
34247608671
-
A Comparison of Total Variation Based Texture Extraction Models
-
W. Yin, D. Goldfarb and S. Osher, A Comparison of Total Variation Based Texture Extraction Models, Journal of Visual Communication and Image Representation, 18(3), 240-252, 2007.
-
(2007)
Journal of Visual Communication and Image Representation
, vol.18
, Issue.3
, pp. 240-252
-
-
Yin, W.1
Goldfarb, D.2
Osher, S.3
|