-
1
-
-
0003587416
-
-
Cambridge, U.K, Cambridge Univ. Press
-
J.-L. Starck, F. Murtagh, and A. Bijaoui, Image Processing and Data Analysis: The Multiscale Approach. Cambridge, U.K.: Cambridge Univ. Press, 1998.
-
(1998)
Image Processing and Data Analysis: The Multiscale Approach
-
-
Starck, J.-L.1
Murtagh, F.2
Bijaoui, A.3
-
3
-
-
0001243836
-
The transformation of Poisson, binomial and negative-binomial data
-
F. J. Anscombe, "The transformation of Poisson, binomial and negative-binomial data," Biometrika, vol. 35, pp. 246-254, 1948.
-
(1948)
Biometrika
, vol.35
, pp. 246-254
-
-
Anscombe, F.J.1
-
4
-
-
0000370306
-
Nonlinear wavelet methods for recovery of signals, densities an spectra from indirect and noisy data
-
D. L. Donoho, "Nonlinear wavelet methods for recovery of signals, densities an spectra from indirect and noisy data," in Proc. Symp. Applied Mathematics: Different Perspectives on Wavelets, 1993, vol. 47, pp. 173-205.
-
(1993)
Proc. Symp. Applied Mathematics: Different Perspectives on Wavelets
, vol.47
, pp. 173-205
-
-
Donoho, D.L.1
-
5
-
-
0041958932
-
Ideal spatial adaptation by wavelet shrinkage
-
D. L. Donho, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
-
(1994)
Biometrika
, vol.81
, pp. 425-455
-
-
Donho, D.L.1
-
6
-
-
0029307534
-
De-noising by soft-thresholding
-
May
-
D. L. Donoho, "De-noising by soft-thresholding" IEEE Trans. Inf. Theory, vol. 41, no. 3, pp. 613-627, May 1995.
-
(1995)
IEEE Trans. Inf. Theory
, vol.41
, Issue.3
, pp. 613-627
-
-
Donoho, D.L.1
-
7
-
-
4344601732
-
A Haar-Fisz algorithm for Poisson intensity estimation
-
P. Fryźlewicz and G. P. Nason, "A Haar-Fisz algorithm for Poisson intensity estimation," J. Comput. Graph. Statist., vol. 13, pp. 621-638, 2004.
-
(2004)
J. Comput. Graph. Statist
, vol.13
, pp. 621-638
-
-
Fryźlewicz, P.1
Nason, G.P.2
-
8
-
-
33846336730
-
GOES-8 X-ray sensor variance stabilization using the multiscale data-driven Haar-Fisztransform
-
DD
-
P. Fryzlewicz, V. Delouille and G. P. Nason, "GOES-8 X-ray sensor variance stabilization using the multiscale data-driven Haar-Fisztransform," J. Roy. Statist. Soc. C, vol. 56, no. 1, DD. 99-116, 2007.
-
(2007)
J. Roy. Statist. Soc. C
, vol.56
, Issue.1
, pp. 99-116
-
-
Fryzlewicz, P.1
Delouille, V.2
Nason, G.P.3
-
9
-
-
3142759528
-
The limiting distribution of a function of two independent random variables and its statistical application
-
M. Fisz, "The limiting distribution of a function of two independent random variables and its statistical application," Colloq. Math., vol. 3, pp. 138-146, 1955.
-
(1955)
Colloq. Math
, vol.3
, pp. 138-146
-
-
Fisz, M.1
-
10
-
-
33645024708
-
Multiscale Poisson data smoothing
-
M. Jansen, "Multiscale Poisson data smoothing," J. Roy. Statist. Soc. B, vol. 68. no. 1. pp. 27-48, 2006.
-
(2006)
J. Roy. Statist. Soc. B
, vol.68
, Issue.1
, pp. 27-48
-
-
Jansen, M.1
-
11
-
-
0032634507
-
Wavelet-domain filtering for photon imaging systems
-
May
-
R. D. Nowak and R. G. Baraniuk, "Wavelet-domain filtering for photon imaging systems," IEEE Trans. Image Process., vol. 8, no. 5, pp. 666-678, May 1999.
-
(1999)
IEEE Trans. Image Process
, vol.8
, Issue.5
, pp. 666-678
-
-
Nowak, R.D.1
Baraniuk, R.G.2
-
12
-
-
3042674778
-
Wavelet shrinkage for natural exponential families with quadratic variance functions
-
A. Antoniadis and T. Sapatinas, "Wavelet shrinkage for natural exponential families with quadratic variance functions," Biometrika vol. 88, pp. 805-820, 2001.
-
(2001)
Biometrika
, vol.88
, pp. 805-820
-
-
Antoniadis, A.1
Sapatinas, T.2
-
13
-
-
0034179316
-
Nonparametric estimation of intensity maps using Haar wavelets and Poisson noise characteristics
-
E. D. Kolaczyk, "Nonparametric estimation of intensity maps using Haar wavelets and Poisson noise characteristics," Astrophys. J., vol. 534, pp. 490-505, 2000.
-
(2000)
Astrophys. J
, vol.534
, pp. 490-505
-
-
Kolaczyk, E.D.1
-
14
-
-
45949100866
-
-
B. Zhang, M. J. Fadili, J.-L. Starck, and S. W. Digel, Fast Poisson noise removal by biorthogonal Haar domain hypothesis testing, Statsit, Method., 2007.
-
B. Zhang, M. J. Fadili, J.-L. Starck, and S. W. Digel, "Fast Poisson noise removal by biorthogonal Haar domain hypothesis testing," Statsit, Method., 2007.
-
-
-
-
15
-
-
0035452167
-
On the distribution of the wavelet coefficient for a Poisson noise
-
A. Bijaoui and G. Jammal, "On the distribution of the wavelet coefficient for a Poisson noise," Signal Process., vol. 81, pp. 1789-1800, 2001.
-
(2001)
Signal Process
, vol.81
, pp. 1789-1800
-
-
Bijaoui, A.1
Jammal, G.2
-
16
-
-
0033410025
-
Wavelet shrinkage estimation of certain Poisson intentsity signals using corrected thresholds
-
E. D. Kolaczyk, "Wavelet shrinkage estimation of certain Poisson intentsity signals using corrected thresholds," Statist. Sinica, vol. 9, pp. 119-135, 1999.
-
(1999)
Statist. Sinica
, vol.9
, pp. 119-135
-
-
Kolaczyk, E.D.1
-
17
-
-
45949095469
-
Bayesian multiscale models for Poisson processes
-
Apr
-
E. D. Kolaczyk, "Bayesian multiscale models for Poisson processes," IEEE Trans. Inf. Theory, vol. 45, no. 3, pp. 846-862, Apr. 1999.
-
(1999)
IEEE Trans. Inf. Theory
, vol.45
, Issue.3
, pp. 846-862
-
-
Kolaczyk, E.D.1
-
18
-
-
0032628620
-
Multiscal modeling and estimation of Poisson processes with application to photon-limited imaging
-
Apr
-
K. E. Timmermann and R. D. Nowak, "Multiscal modeling and estimation of Poisson processes with application to photon-limited imaging," IEEE Trans. Inf. Theory, vol. 45, no. 3, pp. 846-862, Apr. 1999.
-
(1999)
IEEE Trans. Inf. Theory
, vol.45
, Issue.3
, pp. 846-862
-
-
Timmermann, K.E.1
Nowak, R.D.2
-
19
-
-
0034246021
-
A statistical multiscale framework for Poisson inverse problems
-
Aug
-
R. D. Nowak and E. D. Kolaczyk, "A statistical multiscale framework for Poisson inverse problems," IEEE Trans. Inf. Theory, vol. 46, no. 8, pp. 1811-1825, Aug. 2000.
-
(2000)
IEEE Trans. Inf. Theory
, vol.46
, Issue.8
, pp. 1811-1825
-
-
Nowak, R.D.1
Kolaczyk, E.D.2
-
20
-
-
3142756370
-
A comparative simulation study of wavelet shrinkage estimators for Poisson counts
-
P. Besbeas, I. D. Feis, and T. Sapatinas, "A comparative simulation study of wavelet shrinkage estimators for Poisson counts," Int. Statist. Rev., vol. 72, no. 2, pp. 209-237, 2004.
-
(2004)
Int. Statist. Rev
, vol.72
, Issue.2
, pp. 209-237
-
-
Besbeas, P.1
Feis, I.D.2
Sapatinas, T.3
-
21
-
-
2142732992
-
Automatic smoothing with wavelets for a wide class of distributions
-
Jun
-
S. Sardy, A. Antoniadis, and P. Tseng, "Automatic smoothing with wavelets for a wide class of distributions," J. Comput. Graph. Statist., vol. 13, no. 2, pp. 399-421, Jun. 2004.
-
(2004)
J. Comput. Graph. Statist
, vol.13
, Issue.2
, pp. 399-421
-
-
Sardy, S.1
Antoniadis, A.2
Tseng, P.3
-
22
-
-
45949103558
-
-
R. M. Willett and R. D. Nowak, Fast, near-optimal, multiresolution estimation of Poisson signals and images, presented at the EUSIPCO, San Diego, CA, 2004.
-
R. M. Willett and R. D. Nowak, "Fast, near-optimal, multiresolution estimation of Poisson signals and images," presented at the EUSIPCO, San Diego, CA, 2004.
-
-
-
-
23
-
-
34547544849
-
Multiscale Poisson intensity and density estimation,
-
Tech. Rep, Duke Univ, Durham, NC
-
R. M. Willett and R. D. Nowak, "Multiscale Poisson intensity and density estimation," Tech. Rep., Duke Univ., Durham, NC, 2005.
-
(2005)
-
-
Willett, R.M.1
Nowak, R.D.2
-
24
-
-
78651561977
-
Multiscale analysis of photon-limited astronomical images
-
presented at the
-
R. Willett, "Multiscale analysis of photon-limited astronomical images," presented at the Statistical Challenges in Modern Astronomy IV, 2006.
-
(2006)
Statistical Challenges in Modern Astronomy IV
-
-
Willett, R.1
-
26
-
-
0346727379
-
Ridgelets: The key to high dimensional intermittency?
-
E. Candès and D. Donoho, "Ridgelets: The key to high dimensional intermittency?," Philosoph. Trans. Roy. Soc. Lond. A, vol. 357, pp. 2495-2509, 1999.
-
(1999)
Philosoph. Trans. Roy. Soc. Lond. A
, vol.357
, pp. 2495-2509
-
-
Candès, E.1
Donoho, D.2
-
27
-
-
0003306887
-
Curvelets - A surprisingly effective nonadaptive representation for objects with edges
-
A. Cohen, C. Rabut, and L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press
-
E. J. Candès and D. L. Donoho, "Curvelets - A surprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting, A. Cohen, C. Rabut, and L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press, 1999.
-
(1999)
Curve and Surface Fitting
-
-
Candès, E.J.1
Donoho, D.L.2
-
28
-
-
0036612499
-
The curvelet transform for image denoising
-
Jun
-
J.-L. Starck, E. Candès, and D. Donoho, "The curvelet transform for image denoising," IEEE Trans. Image Process., vol. 11, no. 6, pp. 131-141, Jun. 2002.
-
(2002)
IEEE Trans. Image Process
, vol.11
, Issue.6
, pp. 131-141
-
-
Starck, J.-L.1
Candès, E.2
Donoho, D.3
-
29
-
-
0001259658
-
The stationary wavelet transform and some statistical applications
-
New York: Springer-Verlag
-
G. P. Nason and B. W. Silverman, "The stationary wavelet transform and some statistical applications," in Lecture Notes in Statistics. New York: Springer-Verlag, 1995, vol. 103, pp. 281-299.
-
(1995)
Lecture Notes in Statistics
, vol.103
, pp. 281-299
-
-
Nason, G.P.1
Silverman, B.W.2
-
30
-
-
0002001578
-
Translation-invariant de-noising
-
New York: Springer-Verlag
-
R. R. Coifman and D. L. Donoho, "Translation-invariant de-noising," in Lecture Notes in Statistics. New York: Springer-Verlag, 1995, vol. 103, pp. 125-150.
-
(1995)
Lecture Notes in Statistics
, vol.103
, pp. 125-150
-
-
Coifman, R.R.1
Donoho, D.L.2
-
31
-
-
0000698134
-
A real-time algorithm for signal analysis with the help of the wavelet transform
-
New York: Springer-Verlag
-
M. Holschneider, R. Kronland-Martinet, J. Morlet, and P. Tehamitchian, "A real-time algorithm for signal analysis with the help of the wavelet transform," in Wavelets: Time-Frequency Methods and Phase-Space. New York: Springer-Verlag, 1989, pp. 286-297.
-
(1989)
Wavelets: Time-Frequency Methods and Phase-Space
, pp. 286-297
-
-
Holschneider, M.1
Kronland-Martinet, R.2
Morlet, J.3
Tehamitchian, P.4
-
32
-
-
0026938667
-
Discrete wavelet transforms: Wedding theà trous and mallat algorithms
-
Oct
-
M. J. Shensa, "Discrete wavelet transforms: Wedding theà trous and mallat algorithms," IEEE Trans. Signal Process., vol. 40, no. 10, pp. 2464-2482, Oct. 1992.
-
(1992)
IEEE Trans. Signal Process
, vol.40
, Issue.10
, pp. 2464-2482
-
-
Shensa, M.J.1
-
33
-
-
33847702157
-
The undecimated wavelet decomposition and its reconstruction
-
Feb
-
J.-L. Starck, M. Fadili, and F. Murtagh, "The undecimated wavelet decomposition and its reconstruction," IEEE Trans. Image Process. vol. 16, no. 2, pp. 297-309, Feb. 2007.
-
(2007)
IEEE Trans. Image Process
, vol.16
, Issue.2
, pp. 297-309
-
-
Starck, J.-L.1
Fadili, M.2
Murtagh, F.3
-
34
-
-
0036721668
-
Extraction of spots in biological images using multiscale products
-
J. C. Olivo-Marin, "Extraction of spots in biological images using multiscale products," Pattern Recognit., vol. 35, no. 9, pp. 1989-1996, 2002.
-
(2002)
Pattern Recognit
, vol.35
, Issue.9
, pp. 1989-1996
-
-
Olivo-Marin, J.C.1
-
35
-
-
0012780893
-
Wavelet estimators in nonparametric regression: A comparative simulation study
-
A. Antoniadis, J. Bigot, and T. Sapatinas, "Wavelet estimators in nonparametric regression: A comparative simulation study," J. Statist. Softw., vol. 6, no. 6, 2001.
-
(2001)
J. Statist. Softw
, vol.6
, Issue.6
-
-
Antoniadis, A.1
Bigot, J.2
Sapatinas, T.3
-
36
-
-
0001677717
-
Controlling the false discovery rate: A practical and powerful approach to multiple testing
-
Y. Benjamini and Y. Hochberg, "Controlling the false discovery rate: A practical and powerful approach to multiple testing," J. Roy. Statist. Soc. B, vol. 57, no. 1, pp. 289-300, 1995.
-
(1995)
J. Roy. Statist. Soc. B
, vol.57
, Issue.1
, pp. 289-300
-
-
Benjamini, Y.1
Hochberg, Y.2
-
37
-
-
0035733108
-
The control of the false discovery rate in multiple testing under dependency
-
Y. Benjamini and Y. Yekutieli, "The control of the false discovery rate in multiple testing under dependency," Ann. Statist., vol. 29, no. 4, pp. 1165-1188, 2001.
-
(2001)
Ann. Statist
, vol.29
, Issue.4
, pp. 1165-1188
-
-
Benjamini, Y.1
Yekutieli, Y.2
-
38
-
-
33746242092
-
Adapting to unknown sparsity by controlling the false discovery rate
-
F. Abramovich, Y. Benjamini, D. Donoho, and I. Johnstone, "Adapting to unknown sparsity by controlling the false discovery rate," Ann. Statist., vol. 34, no. 2, pp. 584-653, 2006.
-
(2006)
Ann. Statist
, vol.34
, Issue.2
, pp. 584-653
-
-
Abramovich, F.1
Benjamini, Y.2
Donoho, D.3
Johnstone, I.4
-
39
-
-
34547291918
-
Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data
-
D. L. Donoho and J. Jin, "Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data," Ann. Statist., vol. 34, no. 6, pp. 2980-3018, 2006.
-
(2006)
Ann. Statist
, vol.34
, Issue.6
, pp. 2980-3018
-
-
Donoho, D.L.1
Jin, J.2
-
40
-
-
0029502270
-
Multiresolution support applied to image filtering and deconvolution
-
Sep
-
J. L. Starck, A. Bijaoui, and F. Murtagh, "Multiresolution support applied to image filtering and deconvolution," CVIP: Graphical Models and Image Processing, vol. 57, no. 5, pp. 420-431, Sep. 1995.
-
(1995)
CVIP: Graphical Models and Image Processing
, vol.57
, Issue.5
, pp. 420-431
-
-
Starck, J.L.1
Bijaoui, A.2
Murtagh, F.3
-
41
-
-
0037418225
-
1 minimization
-
1 minimization," PNAS, vol. 100, no. 5, pp. 2197-2202, 2003.
-
(2003)
PNAS
, vol.100
, Issue.5
, pp. 2197-2202
-
-
Donoho, D.L.1
Elad, M.2
-
42
-
-
33646365077
-
1 -norm solution is also the sparsest solution
-
1 -norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
43
-
-
0000769685
-
The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
-
New York: Elsevier
-
I. Yamada, "The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings," in Inherently Parallel Algorithm in Feasibility and Optimization and their Applications. New York: Elsevier, 2001.
-
(2001)
Inherently Parallel Algorithm in Feasibility and Optimization and their Applications
-
-
Yamada, I.1
-
44
-
-
34247535092
-
Gaussian approximations of fluorescence microscope point-spread function models
-
B. Zhang, J. Zerubia, and J.-C. Olivo-Marin, "Gaussian approximations of fluorescence microscope point-spread function models," Appl. Opt. vol. 46, no. 10, pp. 1819-1829, 2007.
-
(2007)
Appl. Opt
, vol.46
, Issue.10
, pp. 1819-1829
-
-
Zhang, B.1
Zerubia, J.2
Olivo-Marin, J.-C.3
-
45
-
-
0038321621
-
Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging
-
Mar
-
R. M. Willett and R. D. Nowak, "Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging," IEEE Trans. Med. Imag., vol. 22, no. 3, pp. 332-350, Mar. 2003.
-
(2003)
IEEE Trans. Med. Imag
, vol.22
, Issue.3
, pp. 332-350
-
-
Willett, R.M.1
Nowak, R.D.2
-
46
-
-
3142656055
-
Redundant multiscale transforms and their application for morphological component analysis
-
J.-L. Starck, M. Elad, and D. Donoho, "Redundant multiscale transforms and their application for morphological component analysis," Adv. Imag. Electron. Phys., vol. 132, 2004.
-
(2004)
Adv. Imag. Electron. Phys
, vol.132
-
-
Starck, J.-L.1
Elad, M.2
Donoho, D.3
-
47
-
-
45949103389
-
Fast Slant Stack: A notion of Radon transform for data in a cartesian grid which is rapidly computible, algebraically exact, geometrically faithful and invertible
-
to be published
-
A. Averbuch, R. R. Coifman, D. L. Donoho, M. Israeli, and J.Waldén, "Fast Slant Stack: A notion of Radon transform for data in a cartesian grid which is rapidly computible, algebraically exact, geometrically faithful and invertible," SIAM J. Sci. Comput., 2001, to be published.
-
(2001)
SIAM J. Sci. Comput
-
-
Averbuch, A.1
Coifman, R.R.2
Donoho, D.L.3
Israeli, M.4
Waldén, J.5
-
48
-
-
20444478110
-
Digital ridgelet transform based on true ridge functions
-
J. Schmeidler and G. Well, Eds. New York: Academic
-
D. Donoho and A. G. Flesia, "Digital ridgelet transform based on true ridge functions," in Beyond Wavelets, J. Schmeidler and G. Well, Eds. New York: Academic, 2002.
-
(2002)
Beyond Wavelets
-
-
Donoho, D.1
Flesia, A.G.2
-
49
-
-
0033716552
-
Digital curvelet transform: Strategy, implementation and experiments
-
H. H. Szu, M. Vetterli, W. Campbell, and J. R. Buss, Eds
-
D. L. Donoho and M. R. Duncan, "Digital curvelet transform: Strategy, implementation and experiments," in Proc. Aerosense, Wavelet Applications VII, H. H. Szu, M. Vetterli, W. Campbell, and J. R. Buss, Eds., vol. 4056, pp. 12-29.
-
Proc. Aerosense, Wavelet Applications VII
, vol.4056
, pp. 12-29
-
-
Donoho, D.L.1
Duncan, M.R.2
-
50
-
-
0037316980
-
Astronomical image representation by the curvelet tansform
-
J.-L. Starck, E. Candes, and D. Donoho, "Astronomical image representation by the curvelet tansform," Astron. Astrophysics, vol. 398, pp. 785-800, 2003.
-
(2003)
Astron. Astrophysics
, vol.398
, pp. 785-800
-
-
Starck, J.-L.1
Candes, E.2
Donoho, D.3
-
51
-
-
33845602456
-
Fast discrete curvelet transforms
-
E. Candes, L. Demanet, D. Donoho, and L. Ying, "Fast discrete curvelet transforms," SIAM Multiscale Model. Simul., vol. 5, no. 3, pp. 861-899, 2006.
-
(2006)
SIAM Multiscale Model. Simul
, vol.5
, Issue.3
, pp. 861-899
-
-
Candes, E.1
Demanet, L.2
Donoho, D.3
Ying, L.4
-
52
-
-
35148877210
-
Wave atoms and sparsity of oscillatory patterns
-
to be published
-
L. Demanet and L. Ying, "Wave atoms and sparsity of oscillatory patterns," Appl. Comput. Harmon. Anal, 2007, to be published.
-
(2007)
Appl. Comput. Harmon. Anal
-
-
Demanet, L.1
Ying, L.2
-
53
-
-
0035767715
-
Very high quality image restoration by combining wavelets and curvelets
-
Dec
-
J. L. Starck, "Very high quality image restoration by combining wavelets and curvelets," Proc. SPIE, vol. 4478, pp. 9-19, Dec. 2001.
-
(2001)
Proc. SPIE
, vol.4478
, pp. 9-19
-
-
Starck, J.L.1
-
54
-
-
0004000490
-
-
2nd ed. London, U.K, Prentice-Hall
-
P. J. Bickel and K. A. Doksum, Mathematical statistics: Basic ideas and selected topics, 2nd ed. London, U.K.: Prentice-Hall, 2001, vol. I.
-
(2001)
Mathematical statistics: Basic ideas and selected topics
, vol.1
-
-
Bickel, P.J.1
Doksum, K.A.2
-
56
-
-
0030246542
-
On projection algorithms for solving convex feasibility problems
-
H. H. Bauschke and J. M. Borwein, "On projection algorithms for solving convex feasibility problems," SIAM Rev., vol. 38, no. 3, pp. 367-426, 1996.
-
(1996)
SIAM Rev
, vol.38
, Issue.3
, pp. 367-426
-
-
Bauschke, H.H.1
Borwein, J.M.2
|