×
Compute Distance To:
Author ID: unser.michael-a Recent zbMATH articles by "Unser, Michael A."
Published as: Unser, Michael; Unser, M.; Unser, Michael A.
External Links: MGP
all top 5

Co-Authors

8 single-authored
22 Blu, Thierry
19 Ward, John Paul
18 Fageot, Julien
14 Aldroubi, Akram
11 Thévenaz, Philippe
9 Amini, Arash Ali
9 Van De Ville, Dimitri
8 Aziznejad, Shayan
8 Uhlmann, Virginie
7 Tafti, Pouya Dehghani
6 Chaudhury, Kunal Narayan
6 Sage, Daniel S.
6 Vonesch, Cédric
5 Bostan, Emrah
5 Delgado-Gonzalo, Ricard
5 Püspöki, Zsuzsanna
5 Schmitter, Daniel
5 Storath, Martin
5 Weinmann, Andreas
4 Bourquard, Aurélien
4 Chenouard, Nicolas
4 Debarre, Thomas
4 Gupta, Harshit
4 Kamilov, Ulugbek S.
4 Kirshner, Hagai
4 Lefkimmiatis, Stamatios
4 McCann, Michael T.
4 Nguyen, Ha Q.
4 Pad, Pedram
3 Forster-Heinlein, Brigitte
3 Nilchian, Masih
3 Ye, Jong Chul
2 Badoual, Anaïs
2 Brigger, Patrick
2 Donati, Laurène
2 Froustey, Emmanuel
2 Jin, Kyong Hwan
2 Kybic, Jan
2 Lee, Minji
2 Luisier, Florian
2 Muñoz, Arrate
2 Rickert, Dennis
2 Seelamantula, Chandra Sekhar
2 Soubies, Emmanuel
2 Sun, Qiyu
1 Alishahi, Kasra
1 Bernard, Olivier
1 Bierlaire, Michel
1 Bohra, Pakshal
1 Campos, Joaquim
1 Conti, Costanza
1 Dadi, Leello
1 Daubechies, Ingrid Chantal
1 Denoyelle, Quentin
1 Depeursinge, Adrien
1 Desco, Manuel
1 Eldar, Yonina Chana
1 Ertlé, Raphaël
1 Fallah, Alireza
1 Fletcher, Alyson K.
1 Fortun, Denis
1 Friboulet, Denis
1 Frikel, Jürgen
1 García-Amorena, P.
1 Goujon, Alexis
1 Han, Yoseob
1 Hirabayashi, Akira
1 Hoeg, Jeff
1 Hommer, Daniel W.
1 Illgner, Klaus
1 Jacob, Mathews
1 Khalidov, Ildar
1 Laine, Andrew F.
1 Ledesma-Carbayo, María J.
1 Lee, Chulhee
1 Madani, Ramtin
1 Maggio, Simona
1 Maragos, Petros
1 Marvasti, Farokh A.
1 Min, Junhong
1 Muñoz-Barrutia, Arrate
1 Naderi, Alireza
1 Pham, Thanh-an
1 Porat, Moshe
1 Ramani, Sathish
1 Rangan, Sundeep
1 Rio, Daniel E.
1 Romani, Lucia
1 Roussos, Anastasios
1 Ruttimann, Urs E.
1 Santos, Andrés
1 Song, Anna
1 Soulez, Ferréol
1 Stauber, Frédéric
1 Vrhel, Michael J.
1 Zehni, Mona
1 Zerubia, Josiane
1 Zhao, Zhizhen

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,315 times in 749 Documents Cited by Year
Sampling – 50 years after Shannon. Zbl 1404.94028
Unser, M.
86
2000
Fractional splines and wavelets. Zbl 0940.41004
Unser, Michael; Blu, Thierry
63
2000
Sampling procedures in function spaces and asymptotic equivalence with Shannon’s sampling theory. Zbl 0794.41024
Aldroubi, Akram; Unser, Michael
57
1994
B-spline signal processing. I: Theory. Zbl 0825.94086
Unser, Michael; Aldroubi, Akram; Eden, Murray
52
1993
Cardinal exponential splines. I: Theory and filtering algorithms. Zbl 1370.94262
Unser, Michael; Blu, Thierry
47
2005
Deep convolutional neural network for inverse problems in imaging. Zbl 1409.94275
Jin, Kyong Hwan; McCann, Michael T.; Froustey, Emmanuel; Unser, Michael
42
2017
On the asymptotic convergence of \(B\)-spline wavelets to Gabor functions. Zbl 0757.41022
Unser, Michael; Aldroubi, Akram; Eden, Murray
38
1992
Hessian-based norm regularization for image restoration with biomedical applications. Zbl 1372.94145
Lefkimmiatis, Stamatios; Bourquard, Aurélien; Unser, Michael
35
2012
An introduction to sparse stochastic processes. Zbl 1329.60002
Unser, Michael; Tafti, Pouya D.
32
2014
Generalized Daubechies wavelet families. Zbl 1390.42051
Vonesch, Cédric; Blu, Thierry; Unser, Michael
29
2007
B-spline signal processing. I: Efficient design and applications. Zbl 0825.94087
Unser, Michael; Aldroubi, Akram; Eden, Murray
28
1993
Joint image reconstruction and segmentation using the Potts model. Zbl 1342.94029
Storath, Martin; Weinmann, Andreas; Frikel, Jürgen; Unser, Michael
24
2015
Ellipse-preserving Hermite interpolation and subdivision. Zbl 1309.41003
Conti, Costanza; Romani, Lucia; Unser, Michael
23
2015
A generalized sampling theory without band-limiting constraints. Zbl 0998.94519
Unser, Michael; Zerubia, Josiane
22
1998
Splines are universal solutions of linear inverse problems with generalized TV regularization. Zbl 1382.41011
Unser, Michael; Fageot, Julien; Ward, John Paul
18
2017
Image denoising in mixed Poisson-Gaussian noise. Zbl 1372.94168
Luisier, Florian; Blu, Thierry; Unser, Michael
18
2011
Cardinal spline filters: Stability and convergence to the ideal sinc interpolator. Zbl 0755.41007
Aldroubi, A.; Unser, M.; Eden, M.
17
1992
A family of polynomial spline wavelet transforms. Zbl 0768.41012
Unser, Michael; Aldroubi, Akram; Eden, Murray
17
1993
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
17
1997
Structure tensor total variation. Zbl 1315.65019
Lefkimmiatis, Stamatios; Roussos, Anastasios; Maragos, Petros; Unser, Michael
16
2015
Multiresolution monogenic signal analysis using the Riesz-Laplace wavelet transform. Zbl 1371.94541
Unser, Michael; Sage, Daniel; Van De Ville, Dimitri
16
2009
Approximation error for quasi-interpolators and (multi-)wavelet expansions. Zbl 0936.41015
Blu, Thierry; Unser, Michael
15
1999
Complex B-splines. Zbl 1092.41003
Forster, Brigitte; Blu, Thierry; Unser, Michael
14
2006
Hessian Schatten-norm regularization for linear inverse problems. Zbl 1373.94229
Lefkimmiatis, Stamatios; Ward, John Paul; Unser, Michael
14
2013
Families of wavelet transforms in connection with Shannon’s sampling theory and the Gabor transform. Zbl 0769.42014
Aldroubi, Akram; Unser, Michael
13
1992
Optimization of mutual information for multiresolution image registration. Zbl 0993.94534
Thévenaz, Philippe; Unser, Michael
13
2000
Quantitative Fourier analysis of approximation techniques. I: Interpolators and projectors. Zbl 1075.94508
Blu, Thierry; Unser, Michael
13
1999
Wavelets in medicine and biology. Zbl 0840.00056
13
1996
Stochastic models for sparse and piecewise-smooth signals. Zbl 1392.94500
Unser, Michael; Tafti, Pouya Dehghani
13
2011
A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079
Unser, Michael; Tafti, Pouya D.; Sun, Qiyu
13
2014
A sampling theory for non-decaying signals. Zbl 1384.94015
Nguyen, Ha Q.; Unser, Michael
13
2017
A representer theorem for deep neural networks. Zbl 1434.68526
Unser, Michael
12
2019
MOMS: Maximal-order interpolation of minimal support. Zbl 1036.68606
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
11
2001
Representer theorems for sparsity-promoting \(\ell_1\) regularization. Zbl 1359.94185
Unser, Michael; Fageot, Julien; Gupta, Harshit
11
2016
Snakes with an ellipse-reproducing property. Zbl 1372.94066
Delgado-Gonzalo, Ricard; Thévenaz, Philippe; Seelamantula, Chandra Sekhar; Unser, Michael
11
2012
Nonideal sampling and interpolation from noisy observations in shift-invariant spaces. Zbl 1373.94841
Eldar, Y. C.; Unser, M.
11
2006
Self-similarity. I: Splines and operators. Zbl 1388.41005
Unser, Michael; Blu, Thierry
10
2007
Consistent sampling and signal recovery. Zbl 1390.94652
Hirabayashi, Akira; Unser, Michael
10
2007
On the continuity of characteristic functionals and sparse stochastic modeling. Zbl 1306.60036
Fageot, Julien; Amini, Arash; Unser, Michael
10
2014
Exact algorithms for \(L^1\)-TV regularization of real-valued or circle-valued signals. Zbl 1382.94029
Storath, Martin; Weinmann, Andreas; Unser, Michael
9
2016
Polynomial spline signal approximations: Filter design and asymptotic equivalence with Shannon’s sampling theorem. Zbl 0746.41017
Unser, Michael; Aldroubi, Akram; Eden, Murray
9
1992
B-spline snakes: A flexible tool for parametric contour detection. Zbl 0969.65016
Brigger, Patrick; Hoeg, Jeff; Unser, Michael
9
2000
On the Hilbert transform of wavelets. Zbl 1391.42041
Chaudhury, Kunal Narayan; Unser, Michael
9
2011
Multidimensional Lévy white noise in weighted Besov spaces. Zbl 1373.60084
Fageot, Julien; Fallah, Alireza; Unser, Michael
9
2017
Wavelet steerability and the higher-order Riesz transform. Zbl 1371.94382
Unser, Michael; Van De Ville, Dimitri
9
2010
Exponential splines and minimal-support bases for curve representation. Zbl 1247.65014
Delgado-Gonzalo, R.; Thévenaz, P.; Unser, M.
9
2012
A unifying parametric framework for 2D steerable wavelet transforms. Zbl 1279.68340
Unser, Michael; Chenouard, Nicolas
9
2013
On the Besov regularity of periodic Lévy noises. Zbl 1353.60046
Fageot, Julien; Unser, Michael; Ward, John Paul
8
2017
Families of multiresolution and wavelet spaces with optimal properties. Zbl 0798.94007
Aldroubi, Akram; Unser, Michael
8
1993
Polynomial splines and wavelets – a signal processing perspective. Zbl 0760.41008
Unser, Michael; Aldroubi, Akram
8
1992
Self-similarity. II: Optimal estimation of fractal processes. Zbl 1390.41010
Blu, Thierry; Unser, Michael
8
2007
Multiresolution subdivision snakes. Zbl 1409.94020
Badoual, Anaïs; Schmitter, Daniel; Uhlmann, Virginie; Unser, Michael
8
2017
Wavelet theory demystified. Zbl 1369.42001
Unser, Michael; Blu, Thierry
8
2003
Cardinal exponential splines. II: Think analog, act digital. Zbl 1370.94261
Unser, Michael
8
2005
A unified formulation of Gaussian versus sparse stochastic processes. II: Discrete-domain theory. Zbl 1360.60078
Unser, Michael; Tafti, Pouya D.; Amini, Arash; Kirshner, Hagai
8
2014
Variational B-spline level-set: a linear filtering approach for fast deformable model evolution. Zbl 1371.94052
Bernard, Olivier; Friboulet, Denis; Thévenaz, Philippe; Unser, Michael
8
2009
From differential equations to the construction of new wavelet-like bases. Zbl 1373.94514
Khalidov, I.; Unser, M.
8
2006
Wavelet statistics of sparse and self-similar images. Zbl 1348.60059
Fageot, Julien; Bostan, Emrah; Unser, Michael
7
2015
Discrete spline filters for multiresolutions and wavelets of \(l_ 2\). Zbl 0803.42024
Aldroubi, Akram; Eden, Murray; Unser, Michael
7
1994
Continuous wavelet transform with arbitrary scales and \(O(N)\) complexity. Zbl 0996.94004
Muñoz, Arrate; Ertlé, Raphaël; Unser, Michael
7
2002
Continuous-domain solutions of linear inverse problems with Tikhonov versus generalized TV regularization. Zbl 1415.94119
Gupta, Harshit; Fageot, Julien; Unser, Michael
7
2018
Poisson image reconstruction with Hessian Schatten-norm regularization. Zbl 1373.94228
Lefkimmiatis, Stamatios; Unser, Michael
7
2013
Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006
Sun, Qiyu; Unser, Michael
7
2012
On the shiftability of dual-tree complex wavelet transforms. Zbl 1391.44005
Chaudhury, Kunal Narayan; Unser, Michael
6
2010
Hermite snakes with control of tangents. Zbl 1408.94654
Uhlmann, Virginie; Fageot, Julien; Unser, Michael
6
2016
Wavelets, fractals, and radial basis functions. Zbl 1369.94088
Blu, Thierry; Unser, Michael
6
2002
Complete parameterization of piecewise-polynomial interpolation kernels. Zbl 1279.94041
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
6
2003
Steerable pyramids and tight wavelet frames in \(L_2(\mathbb R^d)\). Zbl 1372.42037
Unser, Michael; Chenouard, Nicolas; Van De Ville, Dimitri
6
2011
Decay properties of Riesz transforms and steerable wavelets. Zbl 1280.31002
Ward, John Paul; Chaudhury, Kunal Narayan; Unser, Michael
6
2013
Jump-penalized least absolute values estimation of scalar or circle-valued signals. Zbl 1383.62124
Storath, Martin; Weinmann, Andreas; Unser, Michael
5
2017
Construction of Hilbert transform pairs of wavelet bases and Gabor-like transforms. Zbl 1391.94169
Chaudhury, Kunal Narayan; Unser, Michael
5
2009
Compressibility of deterministic and random infinite sequences. Zbl 1391.60028
Amini, Arash; Unser, Michael; Marvasti, Farokh
5
2011
Hybrid-spline dictionaries for continuous-domain inverse problems. Zbl 07123517
Debarre, Thomas; Aziznejad, Shayan; Unser, Michael
5
2019
Fractional Brownian vector fields. Zbl 1225.60065
Tafti, Pouya Dehghani; Unser, Michael
5
2010
Sampling of periodic signals: a quantitative error analysis. Zbl 1369.94422
Jacob, Mathews; Blu, Thierry; Unser, Michael
5
2002
Sparsity and infinite divisibility. Zbl 1360.60086
Amini, Arash; Unser, Michael
5
2014
Complex wavelet bases, steerability, and the Marr-like pyramid. Zbl 1371.42046
Van De Ville, Dimitri; Unser, Michael
5
2008
Invariances, Laplacian-like wavelet bases, and the whitening of fractal processes. Zbl 1371.60067
Tafti, Pouya Dehghani; Van De Ville, Dimitri; Unser, Michael
5
2009
Sparse stochastic processes and discretization of linear inverse problems. Zbl 1373.94544
Bostan, Emrah; Kamilov, Ulugbek S.; Nilchian, Masih; Unser, Michael
5
2013
Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\). Zbl 1347.42059
Ward, John Paul; Unser, Michael
5
2014
Fast interscale wavelet denoising of Poisson-corrupted images. Zbl 1177.94030
Luisier, Florian; Vonesch, Cédric; Blu, Thierry; Unser, Michael
4
2010
Support and approximation properties of Hermite splines. Zbl 07161520
Fageot, Julien; Aziznejad, Shayan; Unser, Michael; Uhlmann, Virginie
4
2020
Periodic splines and Gaussian processes for the resolution of linear inverse problems. Zbl 1415.94039
Badoual, Anaïs; Fageot, Julien; Unser, Michael
4
2018
A fast multilevel algorithm for wavelet-regularized image restoration. Zbl 1371.94389
Vonesch, Cédric; Unser, Michael
4
2009
Fast \(O(1)\) bilateral filtering using trigonometric range kernels. Zbl 1374.94499
Chaudhury, Kunal Narayan; Sage, Daniel; Unser, Michael
4
2011
Quasi-orthogonality and quasi-projections. Zbl 0864.42015
Unser, Michael
3
1996
Interior tomography using 1D generalized total variation. I: Mathematical foundation. Zbl 1316.44002
Ward, John Paul; Lee, Minji; Ye, Jong Chul; Unser, Michael
3
2015
Quantitative Fourier analysis of approximation techniques. II: Wavelets. Zbl 1075.94509
Blu, Thierry; Unser, Michael
3
1999
On the optimality of ideal filters for pyramid and wavelet signal approximation. Zbl 0850.94011
Unser, Michael
3
1993
The \(n\)-term approximation of periodic generalized Lévy processes. Zbl 1457.60060
Fageot, Julien; Unser, Michael; Ward, John Paul
3
2020
A sampling theory approach for continuous ARMA identification. Zbl 1392.94719
Kirshner, Hagai; Maggio, Simona; Unser, Michael
3
2011
Bayesian estimation for continuous-time sparse stochastic processes. Zbl 1393.94161
Amini, Arash; Kamilov, Ulugbek S.; Bostan, Emrah; Unser, Michael
3
2013
Scaling limits of solutions of linear stochastic differential equations driven by Lévy white noises. Zbl 1478.60118
Fageot, Julien; Unser, Michael
3
2019
B-spline-based exact discretization of continuous-domain inverse problems with generalized TV regularization. Zbl 1432.94022
Debarre, Thomas; Fageot, Julien; Gupta, Harshit; Unser, Michael
3
2019
Shift-invariant spaces from rotation-covariant functions. Zbl 1257.42043
Forster, Brigitte; Blu, Thierry; Van De Ville, Dimitri; Unser, Michael
3
2008
Generalized Poisson summation formulas for continuous functions of polynomial growth. Zbl 1390.94658
Nguyen, Ha Q.; Unser, Michael; Ward, John Paul
3
2017
Approximation properties of Sobolev splines and the construction of compactly supported equivalents. Zbl 1298.41036
Ward, John Paul; Unser, Michael
3
2014
Generalized smoothing splines and the optimal discretization of the Wiener filter. Zbl 1370.41022
Unser, Michael; Blu, Thierry
3
2005
Spline-based deforming ellipsoids for interactive 3D bioimage segmentation. Zbl 1373.94099
Delgado-Gonzalo, Ricard; Chenouard, Nicolas; Unser, Michael
3
2013
3D steerable wavelets in practice. Zbl 1373.42043
Chenouard, Nicolas; Unser, Michael
3
2012
Convex optimization in sums of Banach spaces. Zbl 1489.46074
Unser, Michael; Aziznejad, Shayan
1
2022
Sparsest piecewise-linear regression of one-dimensional data. Zbl 1482.94025
Debarre, Thomas; Denoyelle, Quentin; Unser, Michael; Fageot, Julien
1
2022
A unifying representer theorem for inverse problems and machine learning. Zbl 1479.46088
Unser, Michael
1
2021
Support and approximation properties of Hermite splines. Zbl 07161520
Fageot, Julien; Aziznejad, Shayan; Unser, Michael; Uhlmann, Virginie
4
2020
The \(n\)-term approximation of periodic generalized Lévy processes. Zbl 1457.60060
Fageot, Julien; Unser, Michael; Ward, John Paul
3
2020
Gaussian and sparse processes are limits of generalized Poisson processes. Zbl 1431.60037
Fageot, Julien; Uhlmann, Virginie; Unser, Michael
2
2020
A representer theorem for deep neural networks. Zbl 1434.68526
Unser, Michael
12
2019
Hybrid-spline dictionaries for continuous-domain inverse problems. Zbl 07123517
Debarre, Thomas; Aziznejad, Shayan; Unser, Michael
5
2019
Scaling limits of solutions of linear stochastic differential equations driven by Lévy white noises. Zbl 1478.60118
Fageot, Julien; Unser, Michael
3
2019
B-spline-based exact discretization of continuous-domain inverse problems with generalized TV regularization. Zbl 1432.94022
Debarre, Thomas; Fageot, Julien; Gupta, Harshit; Unser, Michael
3
2019
Pocket guide to solve inverse problems with GlobalBioim. Zbl 1480.65384
Soubies, Emmanuel; Soulez, Ferréol; McCann, Michael T.; Pham, Thanh-an; Donati, Laurène; Debarre, Thomas; Sage, Daniel; Unser, Michael
2
2019
Approximation of non-decaying signals from shift-invariant subspaces. Zbl 1440.42008
Nguyen, Ha Q.; Unser, Michael
1
2019
Continuous-domain solutions of linear inverse problems with Tikhonov versus generalized TV regularization. Zbl 1415.94119
Gupta, Harshit; Fageot, Julien; Unser, Michael
7
2018
Periodic splines and Gaussian processes for the resolution of linear inverse problems. Zbl 1415.94039
Badoual, Anaïs; Fageot, Julien; Unser, Michael
4
2018
Fast piecewise-affine motion estimation without segmentation. Zbl 1409.94154
Fortun, Denis; Storath, Martin; Rickert, Dennis; Weinmann, Andreas; Unser, Michael
2
2018
Landmark-based shape encoding and sparse-dictionary learning in the continuous domain. Zbl 1409.94531
Schmitter, Daniel; Unser, Michael
1
2018
Deep convolutional neural network for inverse problems in imaging. Zbl 1409.94275
Jin, Kyong Hwan; McCann, Michael T.; Froustey, Emmanuel; Unser, Michael
42
2017
Splines are universal solutions of linear inverse problems with generalized TV regularization. Zbl 1382.41011
Unser, Michael; Fageot, Julien; Ward, John Paul
18
2017
A sampling theory for non-decaying signals. Zbl 1384.94015
Nguyen, Ha Q.; Unser, Michael
13
2017
Multidimensional Lévy white noise in weighted Besov spaces. Zbl 1373.60084
Fageot, Julien; Fallah, Alireza; Unser, Michael
9
2017
On the Besov regularity of periodic Lévy noises. Zbl 1353.60046
Fageot, Julien; Unser, Michael; Ward, John Paul
8
2017
Multiresolution subdivision snakes. Zbl 1409.94020
Badoual, Anaïs; Schmitter, Daniel; Uhlmann, Virginie; Unser, Michael
8
2017
Jump-penalized least absolute values estimation of scalar or circle-valued signals. Zbl 1383.62124
Storath, Martin; Weinmann, Andreas; Unser, Michael
5
2017
Generalized Poisson summation formulas for continuous functions of polynomial growth. Zbl 1390.94658
Nguyen, Ha Q.; Unser, Michael; Ward, John Paul
3
2017
Fast segmentation from blurred data in 3D fluorescence microscopy. Zbl 1409.94560
Storath, Martin; Rickert, Dennis; Unser, Michael; Weinmann, Andreas
1
2017
Representer theorems for sparsity-promoting \(\ell_1\) regularization. Zbl 1359.94185
Unser, Michael; Fageot, Julien; Gupta, Harshit
11
2016
Exact algorithms for \(L^1\)-TV regularization of real-valued or circle-valued signals. Zbl 1382.94029
Storath, Martin; Weinmann, Andreas; Unser, Michael
9
2016
Hermite snakes with control of tangents. Zbl 1408.94654
Uhlmann, Virginie; Fageot, Julien; Unser, Michael
6
2016
Design of steerable wavelets to detect multifold junctions. Zbl 1408.42032
Püspöki, Zsuzsanna; Uhlmann, Virginie; Vonesch, Cédric; Unser, Michael
2
2016
Maximally localized radial profiles for tight steerable wavelet frames. Zbl 1408.94521
Pad, Pedram; Uhlmann, Virginie; Unser, Michael
1
2016
A family of smooth and interpolatory basis functions for parametric curve and surface representation. Zbl 1410.65065
Schmitter, D.; Delgado-Gonzalo, R.; Unser, M.
1
2016
Joint image reconstruction and segmentation using the Potts model. Zbl 1342.94029
Storath, Martin; Weinmann, Andreas; Frikel, Jürgen; Unser, Michael
24
2015
Ellipse-preserving Hermite interpolation and subdivision. Zbl 1309.41003
Conti, Costanza; Romani, Lucia; Unser, Michael
23
2015
Structure tensor total variation. Zbl 1315.65019
Lefkimmiatis, Stamatios; Roussos, Anastasios; Maragos, Petros; Unser, Michael
16
2015
Wavelet statistics of sparse and self-similar images. Zbl 1348.60059
Fageot, Julien; Bostan, Emrah; Unser, Michael
7
2015
Interior tomography using 1D generalized total variation. I: Mathematical foundation. Zbl 1316.44002
Ward, John Paul; Lee, Minji; Ye, Jong Chul; Unser, Michael
3
2015
Steerable PCA for rotation-invariant image recognition. Zbl 1326.92049
Vonesch, Cédric; Stauber, Frédéric; Unser, Michael
1
2015
Optimized Kaiser-Bessel window functions for computed tomography. Zbl 1408.94511
Nilchian, Masih; Ward, John Paul; Vonesch, Cédric; Unser, Michael
1
2015
Optimality of operator-like wavelets for representing sparse \(\mathrm{AR}(1)\) processes. Zbl 1394.94439
Pad, Pedram; Unser, Michael
1
2015
An introduction to sparse stochastic processes. Zbl 1329.60002
Unser, Michael; Tafti, Pouya D.
32
2014
A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079
Unser, Michael; Tafti, Pouya D.; Sun, Qiyu
13
2014
On the continuity of characteristic functionals and sparse stochastic modeling. Zbl 1306.60036
Fageot, Julien; Amini, Arash; Unser, Michael
10
2014
A unified formulation of Gaussian versus sparse stochastic processes. II: Discrete-domain theory. Zbl 1360.60078
Unser, Michael; Tafti, Pouya D.; Amini, Arash; Kirshner, Hagai
8
2014
Sparsity and infinite divisibility. Zbl 1360.60086
Amini, Arash; Unser, Michael
5
2014
Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\). Zbl 1347.42059
Ward, John Paul; Unser, Michael
5
2014
Approximation properties of Sobolev splines and the construction of compactly supported equivalents. Zbl 1298.41036
Ward, John Paul; Unser, Michael
3
2014
On the unique identification of continuous-time autoregressive models from sampled data. Zbl 1394.94824
Kirshner, Hagai; Unser, Michael; Ward, John Paul
2
2014
Approximate message passing with consistent parameter estimation and applications to sparse learning. Zbl 1360.62268
Kamilov, Ulugbek S.; Rangan, Sundeep; Fletcher, Alyson K.; Unser, Michael
1
2014
Hessian Schatten-norm regularization for linear inverse problems. Zbl 1373.94229
Lefkimmiatis, Stamatios; Ward, John Paul; Unser, Michael
14
2013
A unifying parametric framework for 2D steerable wavelet transforms. Zbl 1279.68340
Unser, Michael; Chenouard, Nicolas
9
2013
Poisson image reconstruction with Hessian Schatten-norm regularization. Zbl 1373.94228
Lefkimmiatis, Stamatios; Unser, Michael
7
2013
Decay properties of Riesz transforms and steerable wavelets. Zbl 1280.31002
Ward, John Paul; Chaudhury, Kunal Narayan; Unser, Michael
6
2013
Sparse stochastic processes and discretization of linear inverse problems. Zbl 1373.94544
Bostan, Emrah; Kamilov, Ulugbek S.; Nilchian, Masih; Unser, Michael
5
2013
Bayesian estimation for continuous-time sparse stochastic processes. Zbl 1393.94161
Amini, Arash; Kamilov, Ulugbek S.; Bostan, Emrah; Unser, Michael
3
2013
Spline-based deforming ellipsoids for interactive 3D bioimage segmentation. Zbl 1373.94099
Delgado-Gonzalo, Ricard; Chenouard, Nicolas; Unser, Michael
3
2013
Binary compressed imaging. Zbl 1373.94048
Bourquard, Aurélien; Unser, Michael
2
2013
Operator-like wavelet bases of \(L_{2}(\mathbb{R}^{d})\). Zbl 1304.42091
Khalidov, Ildar; Unser, Michael; Ward, John Paul
2
2013
MMSE estimation of sparse Lévy processes. Zbl 1393.94291
Kamilov, Ulugbek S.; Pad, Pedram; Amini, Arash; Unser, Michael
1
2013
On the linearity of Bayesian interpolators for non-Gaussian continuous-time \(\mathrm{AR}(1)\) processes. Zbl 1364.62226
Amini, Arash; Thévenaz, Philippe; Ward, John Paul; Unser, Michael
1
2013
Anisotropic interpolation of sparse generalized image samples. Zbl 1373.94047
Bourquard, Aurélien; Unser, Michael
1
2013
Hessian-based norm regularization for image restoration with biomedical applications. Zbl 1372.94145
Lefkimmiatis, Stamatios; Bourquard, Aurélien; Unser, Michael
35
2012
Snakes with an ellipse-reproducing property. Zbl 1372.94066
Delgado-Gonzalo, Ricard; Thévenaz, Philippe; Seelamantula, Chandra Sekhar; Unser, Michael
11
2012
Exponential splines and minimal-support bases for curve representation. Zbl 1247.65014
Delgado-Gonzalo, R.; Thévenaz, P.; Unser, M.
9
2012
Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006
Sun, Qiyu; Unser, Michael
7
2012
3D steerable wavelets in practice. Zbl 1373.42043
Chenouard, Nicolas; Unser, Michael
3
2012
Image denoising in mixed Poisson-Gaussian noise. Zbl 1372.94168
Luisier, Florian; Blu, Thierry; Unser, Michael
18
2011
Stochastic models for sparse and piecewise-smooth signals. Zbl 1392.94500
Unser, Michael; Tafti, Pouya Dehghani
13
2011
On the Hilbert transform of wavelets. Zbl 1391.42041
Chaudhury, Kunal Narayan; Unser, Michael
9
2011
Steerable pyramids and tight wavelet frames in \(L_2(\mathbb R^d)\). Zbl 1372.42037
Unser, Michael; Chenouard, Nicolas; Van De Ville, Dimitri
6
2011
Compressibility of deterministic and random infinite sequences. Zbl 1391.60028
Amini, Arash; Unser, Michael; Marvasti, Farokh
5
2011
Fast \(O(1)\) bilateral filtering using trigonometric range kernels. Zbl 1374.94499
Chaudhury, Kunal Narayan; Sage, Daniel; Unser, Michael
4
2011
A sampling theory approach for continuous ARMA identification. Zbl 1392.94719
Kirshner, Hagai; Maggio, Simona; Unser, Michael
3
2011
On regularized reconstruction of vector fields. Zbl 1372.65164
Tafti, Pouya Dehghani; Unser, Michael
1
2011
Wavelet steerability and the higher-order Riesz transform. Zbl 1371.94382
Unser, Michael; Van De Ville, Dimitri
9
2010
On the shiftability of dual-tree complex wavelet transforms. Zbl 1391.44005
Chaudhury, Kunal Narayan; Unser, Michael
6
2010
Fractional Brownian vector fields. Zbl 1225.60065
Tafti, Pouya Dehghani; Unser, Michael
5
2010
Fast interscale wavelet denoising of Poisson-corrupted images. Zbl 1177.94030
Luisier, Florian; Vonesch, Cédric; Blu, Thierry; Unser, Michael
4
2010
Analytical footprints: compact representation of elementary singularities in wavelet bases. Zbl 1392.94503
Van De Ville, Dimitri; Forster-Heinlein, Brigitte; Unser, Michael; Blu, Thierry
1
2010
Fast space-variant elliptical filtering using box splines. Zbl 1372.65034
Chaudhury, Kunal Narayan; Muñoz-Barrutia, Arrate; Unser, Michael
1
2010
Multiresolution monogenic signal analysis using the Riesz-Laplace wavelet transform. Zbl 1371.94541
Unser, Michael; Sage, Daniel; Van De Ville, Dimitri
16
2009
Variational B-spline level-set: a linear filtering approach for fast deformable model evolution. Zbl 1371.94052
Bernard, Olivier; Friboulet, Denis; Thévenaz, Philippe; Unser, Michael
8
2009
Construction of Hilbert transform pairs of wavelet bases and Gabor-like transforms. Zbl 1391.94169
Chaudhury, Kunal Narayan; Unser, Michael
5
2009
Invariances, Laplacian-like wavelet bases, and the whitening of fractal processes. Zbl 1371.60067
Tafti, Pouya Dehghani; Van De Ville, Dimitri; Unser, Michael
5
2009
A fast multilevel algorithm for wavelet-regularized image restoration. Zbl 1371.94389
Vonesch, Cédric; Unser, Michael
4
2009
Complex wavelet bases, steerability, and the Marr-like pyramid. Zbl 1371.42046
Van De Ville, Dimitri; Unser, Michael
5
2008
Shift-invariant spaces from rotation-covariant functions. Zbl 1257.42043
Forster, Brigitte; Blu, Thierry; Van De Ville, Dimitri; Unser, Michael
3
2008
Halton sampling for image registration based on mutual information. Zbl 1182.94028
Thévenaz, P.; Bierlaire, M.; Unser, M.
2
2008
Nonideal sampling and regularization theory. Zbl 1390.94659
Ramani, Sathish; Van De Ville, Dimitri; Blu, Thierry; Unser, Michael
1
2008
The pairing of a wavelet basis with a mildly redundant analysis via subband regression. Zbl 1371.94475
Unser, Michael; Van De Ville, Dimitri
1
2008
Generalized Daubechies wavelet families. Zbl 1390.42051
Vonesch, Cédric; Blu, Thierry; Unser, Michael
29
2007
Self-similarity. I: Splines and operators. Zbl 1388.41005
Unser, Michael; Blu, Thierry
10
2007
Consistent sampling and signal recovery. Zbl 1390.94652
Hirabayashi, Akira; Unser, Michael
10
2007
Self-similarity. II: Optimal estimation of fractal processes. Zbl 1390.41010
Blu, Thierry; Unser, Michael
8
2007
Complex B-splines. Zbl 1092.41003
Forster, Brigitte; Blu, Thierry; Unser, Michael
14
2006
Nonideal sampling and interpolation from noisy observations in shift-invariant spaces. Zbl 1373.94841
Eldar, Y. C.; Unser, M.
11
2006
From differential equations to the construction of new wavelet-like bases. Zbl 1373.94514
Khalidov, I.; Unser, M.
8
2006
Cardinal exponential splines. I: Theory and filtering algorithms. Zbl 1370.94262
Unser, Michael; Blu, Thierry
47
2005
Cardinal exponential splines. II: Think analog, act digital. Zbl 1370.94261
Unser, Michael
8
2005
Generalized smoothing splines and the optimal discretization of the Wiener filter. Zbl 1370.41022
Unser, Michael; Blu, Thierry
3
2005
Wavelet theory demystified. Zbl 1369.42001
Unser, Michael; Blu, Thierry
8
2003
...and 35 more Documents
all top 5

Cited by 1,268 Authors

40 Unser, Michael A.
17 Conti, Costanza
16 Fageot, Julien
15 Massopust, Peter R.
15 Weinmann, Andreas
14 Romani, Lucia
12 García, Antonio G.
11 Storath, Martin
10 Forster-Heinlein, Brigitte
10 Schönlieb, Carola-Bibiane
10 Ward, John Paul
9 Aldroubi, Akram
9 Pérez-Villalón, Gerardo
9 Pitolli, Francesca
9 Sun, Wenchang
8 Lv, Xiaoguang
8 Yoon, Jungho
7 Kwon, Kil Hyun
7 Li, Song
7 Zhou, Xingwei
6 Aziznejad, Shayan
6 Steidl, Gabriele
6 Wang, Chengxiang
6 Zhang, Qingyue
5 Arridge, Simon R.
5 Băleanu, Dumitru I.
5 Bernstein, Swanhild
5 Campos Pinto, Martin
5 Christensen, Ole
5 Costarelli, Danilo
5 Cotronei, Mariantonia
5 Jeong, Byeongseon
5 Khanna, Nikhil
5 Kolomoitsev, Yurii S.
5 Sauer, Tomas
5 Sun, Qiyu
5 Vinti, Gianluca
5 Yang, Jianbin
5 Zakharov, Victor G.
5 Zhang, Lingli
4 Charina, Maria
4 Condat, Laurent
4 Dinç, Erdal
4 Dong, Yiqiu
4 Dyn, Nira
4 Guo, Yumeng
4 Haltmeier, Markus
4 Hansen, Anders C.
4 Hernández-Medina, Miguel Ángel
4 Holler, Martin
4 Huang, Ting-Zhu
4 Jena, Mahendra Kumar
4 Kaushik, Shiv Kumar
4 Kiefer, Lukas
4 Kounchev, Ognyan Ivanov
4 Li, Baobin
4 Liu, Bei
4 Liu, Jun
4 Manni, Carla
4 Muñoz-Bouzo, María José
4 Pezza, Laura
4 Poon, Clarice
4 Prestin, Jurgen
4 Render, Hermann
4 Rossini, Milvia
4 Schwab, Johannes
4 Strauss, Olivier
4 Uhlmann, Virginie
4 Weiss, Pierre
4 Yu, Wei
4 Zeng, Li
4 Zheng, Hongchan
4 Zhou, Jiliu
3 Amini, Arash Ali
3 Beccari, Carolina Vittoria
3 Bredies, Kristian
3 Bubba, Tatiana A.
3 Casciola, Giulio
3 Chen, Ke
3 Clausel, Marianne
3 Dragotti, Pier Luigi
3 Duval, Vincent
3 Goh, Say Song
3 Jarrah, Abdullah M.
3 Jiang, Le
3 Jung, Miyoun
3 Kang, Myungjoo
3 Kotzagiannidis, M. S.
3 Lanza, Alessandro
3 Lassas, Matti J.
3 Ledford, Jeff
3 Lellmann, Jan
3 Lesaffre, Emmanuel M. E. H.
3 Liu, Pengfei
3 Maass, Peter
3 Madych, Wolodymyr R.
3 Mei, Shuli
3 Morigi, Serena
3 Nguyen, Ha Q.
3 Novara, Paola
...and 1,168 more Authors
all top 5

Cited in 200 Serials

46 Applied and Computational Harmonic Analysis
37 International Journal of Wavelets, Multiresolution and Information Processing
34 SIAM Journal on Imaging Sciences
31 Journal of Mathematical Imaging and Vision
27 Inverse Problems
27 Journal of Computational and Applied Mathematics
20 Journal of Mathematical Analysis and Applications
18 Applied Mathematics and Computation
16 Journal of Approximation Theory
16 Advances in Computational Mathematics
15 The Journal of Fourier Analysis and Applications
14 Inverse Problems and Imaging
12 Numerical Functional Analysis and Optimization
10 Computers & Mathematics with Applications
10 Applied Mathematics Letters
9 Fuzzy Sets and Systems
9 Numerical Algorithms
8 Journal of Computational Physics
8 Computer Aided Geometric Design
8 Journal of Scientific Computing
8 Mathematical Problems in Engineering
7 Signal Processing
7 International Journal of Computer Vision
6 Applicable Analysis
6 Computer Methods in Applied Mechanics and Engineering
6 Information Sciences
6 Circuits, Systems, and Signal Processing
6 Applied Numerical Mathematics
6 Multidimensional Systems and Signal Processing
6 Applied Mathematical Modelling
5 Mathematics of Computation
5 Automatica
5 Pattern Recognition
5 Stochastic Processes and their Applications
5 Journal of Inverse and Ill-Posed Problems
5 Journal of Inequalities and Applications
5 Analysis and Applications (Singapore)
4 Mathematics and Computers in Simulation
4 Numerische Mathematik
4 Results in Mathematics
4 SIAM Journal on Numerical Analysis
4 Constructive Approximation
4 Linear Algebra and its Applications
4 Mathematical Programming. Series A. Series B
4 SIAM Journal on Scientific Computing
4 Inverse Problems in Science and Engineering
4 Science China. Mathematics
4 SIAM Journal on Mathematics of Data Science
3 Physica A
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Neural Computation
3 International Journal of Computer Mathematics
3 Computational Statistics and Data Analysis
3 SIAM Journal on Optimization
3 Advances in Applied Clifford Algebras
3 Integral Transforms and Special Functions
3 Nonlinear Dynamics
3 Fractional Calculus & Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Foundations of Computational Mathematics
3 EURASIP Journal on Advances in Signal Processing
3 Statistics and Computing
3 International Journal of Applied and Computational Mathematics
2 Applied Mathematics and Optimization
2 BIT
2 Journal of Multivariate Analysis
2 Journal of Time Series Analysis
2 Stochastic Analysis and Applications
2 Journal of Theoretical Probability
2 Science in China. Series E
2 Abstract and Applied Analysis
2 Journal of Mathematical Fluid Mechanics
2 Acta Mathematica Sinica. English Series
2 Journal of Evolution Equations
2 Journal of Machine Learning Research (JMLR)
2 Multiscale Modeling & Simulation
2 Complex Analysis and Operator Theory
2 Computational & Mathematical Methods in Medicine
2 Discrete and Continuous Dynamical Systems. Series S
2 SIAM Journal on Financial Mathematics
2 International Journal of Differential Equations
2 International Journal for Numerical Methods in Biomedical Engineering
2 Analysis and Mathematical Physics
2 Journal of Mathematics
2 Mathematics
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Theoretical and Computational Fluid Dynamics
...and 100 more Serials
all top 5

Cited in 51 Fields

310 Numerical analysis (65-XX)
302 Information and communication theory, circuits (94-XX)
209 Harmonic analysis on Euclidean spaces (42-XX)
130 Computer science (68-XX)
125 Approximations and expansions (41-XX)
66 Biology and other natural sciences (92-XX)
61 Operations research, mathematical programming (90-XX)
56 Statistics (62-XX)
52 Partial differential equations (35-XX)
44 Probability theory and stochastic processes (60-XX)
43 Functional analysis (46-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
33 Integral transforms, operational calculus (44-XX)
30 Operator theory (47-XX)
22 Systems theory; control (93-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Real functions (26-XX)
17 Ordinary differential equations (34-XX)
12 Fluid mechanics (76-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Functions of a complex variable (30-XX)
6 Special functions (33-XX)
6 Integral equations (45-XX)
6 Mechanics of deformable solids (74-XX)
5 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
5 Geophysics (86-XX)
4 Potential theory (31-XX)
4 Abstract harmonic analysis (43-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Number theory (11-XX)
3 Measure and integration (28-XX)
3 Optics, electromagnetic theory (78-XX)
3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Quantum theory (81-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year