×

zbMATH — the first resource for mathematics

Unser, Michael A.

Compute Distance To:
Author ID: unser.michael-a Recent zbMATH articles by "Unser, Michael A."
Published as: Unser, M.; Unser, Michael; Unser, Michael A.
External Links: MGP
Documents Indexed: 155 Publications since 1988, including 3 Books
all top 5

Co-Authors

5 single-authored
22 Blu, Thierry
19 Ward, John Paul
17 Fageot, Julien
14 Aldroubi, Akram
11 Thévenaz, Philippe
9 Amini, Arash Ali
9 Van De Ville, Dimitri
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 Eden, Murray
5 Püspöki, Zsuzsanna
5 Schmitter, Daniel
5 Storath, Martin
5 Weinmann, Andreas
4 Bourquard, Aurélien
4 Chenouard, Nicolas
4 Eden, Moshé
4 Kamilov, Ulugbek S.
4 Kirshner, Hagai
4 Lefkimmiatis, Stamatios
4 McCann, Michael T.
4 Nguyen, Ha Q.
4 Pad, Pedram
3 Debarre, Thomas
3 Forster-Heinlein, Brigitte
3 Gupta, Harshit
3 Nilchian, Masih
3 Ye, Jong Chul
2 Aziznejad, Shayan
2 Badoual, Anaïs
2 Brigger, Patrick
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 Sun, Qiyu
1 Alishahi, Kasra
1 Bernard, Olivier
1 Bierlaire, Michel
1 Conti, Costanza
1 Daubechies, Ingrid Chantal
1 Depeursinge, Adrien
1 Desco, Manuel
1 Donati, Laurène
1 Ertlé, Raphaël
1 Fallah, Alireza
1 Fletcher, Alyson K.
1 Fortun, Denis
1 Friboulet, Denis
1 Frikel, Jürgen
1 García-Amorena, P.
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 Müller, Frank
1 Muñoz-Barrutia, Arrate
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 Soubies, Emmanuel
1 Soulez, Ferréol
1 Stauber, Frédéric
1 Zerubia, Josiane

Publications by Year

Citations contained in zbMATH

125 Publications have been cited 1,039 times in 656 Documents Cited by Year
Sampling – 50 years after Shannon. Zbl 1404.94028
Unser, M.
66
2000
Fractional splines and wavelets. Zbl 0940.41004
Unser, Michael; Blu, Thierry
58
2000
Sampling procedures in function spaces and asymptotic equivalence with Shannon’s sampling theory. Zbl 0794.41024
Aldroubi, Akram; Unser, Michael
54
1994
B-spline signal processing. I: Theory. Zbl 0825.94086
Unser, Michael; Aldroubi, Akram; Eden, Murray
45
1993
Cardinal exponential splines. I: Theory and filtering algorithms. Zbl 1370.94262
Unser, Michael; Blu, Thierry
40
2005
On the asymptotic convergence of \(B\)-spline wavelets to Gabor functions. Zbl 0757.41022
Unser, Michael; Aldroubi, Akram; Eden, Murray
39
1992
Hessian-based norm regularization for image restoration with biomedical applications. Zbl 1372.94145
Lefkimmiatis, Stamatios; Bourquard, Aurélien; Unser, Michael
31
2012
Generalized Daubechies wavelet families. Zbl 1390.42051
Vonesch, Cédric; Blu, Thierry; Unser, Michael
25
2007
B-spline signal processing. I: Efficient design and applications. Zbl 0825.94087
Unser, Michael; Aldroubi, Akram; Eden, Murray
24
1993
An introduction to sparse stochastic processes. Zbl 1329.60002
Unser, Michael; Tafti, Pouya D.
23
2014
A generalized sampling theory without band-limiting constraints. Zbl 0998.94519
Unser, Michael; Zerubia, Josiane
22
1998
Joint image reconstruction and segmentation using the Potts model. Zbl 1342.94029
Storath, Martin; Weinmann, Andreas; Frikel, Jürgen; Unser, Michael
18
2015
Deep convolutional neural network for inverse problems in imaging. Zbl 1409.94275
Jin, Kyong Hwan; McCann, Michael T.; Froustey, Emmanuel; Unser, Michael
17
2017
A family of polynomial spline wavelet transforms. Zbl 0768.41012
Unser, Michael; Aldroubi, Akram; Eden, Murray
17
1993
Approximation error for quasi-interpolators and (multi-)wavelet expansions. Zbl 0936.41015
Blu, Thierry; Unser, Michael
16
1999
Cardinal spline filters: Stability and convergence to the ideal sinc interpolator. Zbl 0755.41007
Aldroubi, A.; Unser, M.; Eden, M.
16
1992
Wavelets in medicine and biology. Zbl 0840.00056
Aldroubi, Akram (ed.); Unser, Michael (ed.)
15
1996
Ellipse-preserving Hermite interpolation and subdivision. Zbl 1309.41003
Conti, Costanza; Romani, Lucia; Unser, Michael
14
2015
Image denoising in mixed Poisson-Gaussian noise. Zbl 1372.94168
Luisier, Florian; Blu, Thierry; Unser, Michael
14
2011
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
14
1997
Multiresolution monogenic signal analysis using the Riesz-Laplace wavelet transform. Zbl 1371.94541
Unser, Michael; Sage, Daniel; Van De Ville, Dimitri
13
2009
Families of wavelet transforms in connection with Shannon’s sampling theory and the Gabor transform. Zbl 0769.42014
Aldroubi, Akram; Unser, Michael
13
1992
Structure tensor total variation. Zbl 1315.65019
Lefkimmiatis, Stamatios; Roussos, Anastasios; Maragos, Petros; Unser, Michael
12
2015
Optimization of mutual information for multiresolution image registration. Zbl 0993.94534
Thévenaz, Philippe; Unser, Michael
12
2000
Complex B-splines. Zbl 1092.41003
Forster, Brigitte; Blu, Thierry; Unser, Michael
11
2006
Quantitative Fourier analysis of approximation techniques. I: Interpolators and projectors. Zbl 1075.94508
Blu, Thierry; Unser, Michael
11
1999
A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079
Unser, Michael; Tafti, Pouya D.; Sun, Qiyu
10
2014
Snakes with an ellipse-reproducing property. Zbl 1372.94066
Delgado-Gonzalo, Ricard; Thévenaz, Philippe; Seelamantula, Chandra Sekhar; Unser, Michael
10
2012
Stochastic models for sparse and piecewise-smooth signals. Zbl 1392.94500
Unser, Michael; Tafti, Pouya Dehghani
10
2011
Nonideal sampling and interpolation from noisy observations in shift-invariant spaces. Zbl 1373.94841
Eldar, Y. C.; Unser, M.
10
2006
MOMS: Maximal-order interpolation of minimal support. Zbl 1036.68606
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
10
2001
Hessian Schatten-norm regularization for linear inverse problems. Zbl 1373.94229
Lefkimmiatis, Stamatios; Ward, John Paul; Unser, Michael
9
2013
Consistent sampling and signal recovery. Zbl 1390.94652
Hirabayashi, Akira; Unser, Michael
9
2007
Self-similarity. II: Optimal estimation of fractal processes. Zbl 1390.41010
Blu, Thierry; Unser, Michael
8
2007
Self-similarity. I: Splines and operators. Zbl 1388.41005
Unser, Michael; Blu, Thierry
8
2007
From differential equations to the construction of new wavelet-like bases. Zbl 1373.94514
Khalidov, I.; Unser, M.
8
2006
Wavelet theory demystified. Zbl 1369.42001
Unser, Michael; Blu, Thierry
8
2003
Discrete spline filters for multiresolutions and wavelets of \(l_ 2\). Zbl 0803.42024
Aldroubi, Akram; Eden, Murray; Unser, Michael
8
1994
Families of multiresolution and wavelet spaces with optimal properties. Zbl 0798.94007
Aldroubi, Akram; Unser, Michael
8
1993
On the continuity of characteristic functionals and sparse stochastic modeling. Zbl 1306.60036
Fageot, Julien; Amini, Arash; Unser, Michael
7
2014
A unifying parametric framework for 2D steerable wavelet transforms. Zbl 1279.68340
Unser, Michael; Chenouard, Nicolas
7
2013
Exponential splines and minimal-support bases for curve representation. Zbl 1247.65014
Delgado-Gonzalo, R.; Thévenaz, P.; Unser, M.
7
2012
On the Hilbert transform of wavelets. Zbl 1391.42041
Chaudhury, Kunal Narayan; Unser, Michael
7
2011
Wavelet steerability and the higher-order Riesz transform. Zbl 1371.94382
Unser, Michael; Van De Ville, Dimitri
7
2010
Cardinal exponential splines. II: Think analog, act digital. Zbl 1370.94261
Unser, Michael
7
2005
Polynomial splines and wavelets – a signal processing perspective. Zbl 0760.41008
Unser, Michael; Aldroubi, Akram
7
1992
Polynomial spline signal approximations: Filter design and asymptotic equivalence with Shannon’s sampling theorem. Zbl 0746.41017
Unser, Michael; Aldroubi, Akram; Eden, Murray
7
1992
Splines are universal solutions of linear inverse problems with generalized TV regularization. Zbl 1382.41011
Unser, Michael; Fageot, Julien; Ward, John Paul
6
2017
A sampling theory for non-decaying signals. Zbl 1384.94015
Nguyen, Ha Q.; Unser, Michael
6
2017
Exact algorithms for \(L^1\)-TV regularization of real-valued or circle-valued signals. Zbl 1382.94029
Storath, Martin; Weinmann, Andreas; Unser, Michael
6
2016
Decay properties of Riesz transforms and steerable wavelets. Zbl 1280.31002
Ward, John Paul; Chaudhury, Kunal Narayan; Unser, Michael
6
2013
Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006
Sun, Qiyu; Unser, Michael
6
2012
On the shiftability of dual-tree complex wavelet transforms. Zbl 1391.44005
Chaudhury, Kunal Narayan; Unser, Michael
6
2010
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
6
2009
Complete parameterization of piecewise-polynomial interpolation kernels. Zbl 1279.94041
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
6
2003
Continuous wavelet transform with arbitrary scales and \(O(N)\) complexity. Zbl 0996.94004
Muñoz, Arrate; Ertlé, Raphaël; Unser, Michael
6
2002
Jump-penalized least absolute values estimation of scalar or circle-valued signals. Zbl 1383.62124
Storath, Martin; Weinmann, Andreas; Unser, Michael
5
2017
Representer theorems for sparsity-promoting \(\ell_1\) regularization. Zbl 1359.94185
Unser, Michael; Fageot, Julien; Gupta, Harshit
5
2016
Wavelet statistics of sparse and self-similar images. Zbl 1348.60059
Fageot, Julien; Bostan, Emrah; Unser, Michael
5
2015
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
5
2014
Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\). Zbl 1347.42059
Ward, John Paul; Unser, Michael
5
2014
Poisson image reconstruction with Hessian Schatten-norm regularization. Zbl 1373.94228
Lefkimmiatis, Stamatios; Unser, Michael
5
2013
Steerable pyramids and tight wavelet frames in \(L_2(\mathbb R^d)\). Zbl 1372.42037
Unser, Michael; Chenouard, Nicolas; Van De Ville, Dimitri
5
2011
Fractional Brownian vector fields. Zbl 1225.60065
Tafti, Pouya Dehghani; Unser, Michael
5
2010
Wavelets, fractals, and radial basis functions. Zbl 1369.94088
Blu, Thierry; Unser, Michael
5
2002
Multidimensional Lévy white noise in weighted Besov spaces. Zbl 1373.60084
Fageot, Julien; Fallah, Alireza; Unser, Michael
4
2017
On the Besov regularity of periodic Lévy noises. Zbl 1353.60046
Fageot, Julien; Unser, Michael; Ward, John Paul
4
2017
Hermite snakes with control of tangents. Zbl 1408.94654
Uhlmann, Virginie; Fageot, Julien; Unser, Michael
4
2016
Sparse stochastic processes and discretization of linear inverse problems. Zbl 1373.94544
Bostan, Emrah; Kamilov, Ulugbek S.; Nilchian, Masih; Unser, Michael
4
2013
Compressibility of deterministic and random infinite sequences. Zbl 1391.60028
Amini, Arash; Unser, Michael; Marvasti, Farokh
4
2011
Fast \(O(1)\) bilateral filtering using trigonometric range kernels. Zbl 1374.94499
Chaudhury, Kunal Narayan; Sage, Daniel; Unser, Michael
4
2011
Construction of Hilbert transform pairs of wavelet bases and Gabor-like transforms. Zbl 1391.94169
Chaudhury, Kunal Narayan; Unser, Michael
4
2009
Invariances, Laplacian-like wavelet bases, and the whitening of fractal processes. Zbl 1371.60067
Tafti, Pouya Dehghani; Van De Ville, Dimitri; Unser, Michael
4
2009
A fast multilevel algorithm for wavelet-regularized image restoration. Zbl 1371.94389
Vonesch, Cédric; Unser, Michael
4
2009
B-spline snakes: A flexible tool for parametric contour detection. Zbl 0969.65016
Brigger, Patrick; Hoeg, Jeff; Unser, Michael
4
2000
Support and approximation properties of Hermite splines. Zbl 07161520
Fageot, Julien; Aziznejad, Shayan; Unser, Michael; Uhlmann, Virginie
3
2020
Generalized Poisson summation formulas for continuous functions of polynomial growth. Zbl 1390.94658
Nguyen, Ha Q.; Unser, Michael; Ward, John Paul
3
2017
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
Spline-based deforming ellipsoids for interactive 3D bioimage segmentation. Zbl 1373.94099
Delgado-Gonzalo, Ricard; Chenouard, Nicolas; Unser, Michael
3
2013
A sampling theory approach for continuous ARMA identification. Zbl 1392.94719
Kirshner, Hagai; Maggio, Simona; Unser, Michael
3
2011
Fast interscale wavelet denoising of Poisson-corrupted images. Zbl 1177.94030
Luisier, Florian; Vonesch, Cédric; Blu, Thierry; Unser, Michael
3
2010
Complex wavelet bases, steerability, and the Marr-like pyramid. Zbl 1371.42046
Van De Ville, Dimitri; Unser, Michael
3
2008
Shift-invariant spaces from rotation-covariant functions. Zbl 1257.42043
Forster, Brigitte; Blu, Thierry; Van De Ville, Dimitri; Unser, Michael
3
2008
Sampling of periodic signals: a quantitative error analysis. Zbl 1369.94422
Jacob, Mathews; Blu, Thierry; Unser, Michael
3
2002
Quantitative Fourier analysis of approximation techniques. II: Wavelets. Zbl 1075.94509
Blu, Thierry; Unser, Michael
3
1999
Quasi-orthogonality and quasi-projections. Zbl 0864.42015
Unser, Michael
3
1996
On the optimality of ideal filters for pyramid and wavelet signal approximation. Zbl 0850.94011
Unser, Michael
3
1993
A representer theorem for deep neural networks. Zbl 1434.68526
Unser, Michael
2
2019
Fast piecewise-affine motion estimation without segmentation. Zbl 1409.94154
Fortun, Denis; Storath, Martin; Rickert, Dennis; Weinmann, Andreas; Unser, Michael
2
2018
Design of steerable wavelets to detect multifold junctions. Zbl 1408.42032
Püspöki, Zsuzsanna; Uhlmann, Virginie; Vonesch, Cédric; Unser, Michael
2
2016
Sparsity and infinite divisibility. Zbl 1360.60086
Amini, Arash; Unser, Michael
2
2014
Approximation properties of Sobolev splines and the construction of compactly supported equivalents. Zbl 1298.41036
Ward, John Paul; Unser, Michael
2
2014
Bayesian estimation for continuous-time sparse stochastic processes. Zbl 1393.94161
Amini, Arash; Kamilov, Ulugbek S.; Bostan, Emrah; 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
3D steerable wavelets in practice. Zbl 1373.42043
Chenouard, Nicolas; Unser, Michael
2
2012
Halton sampling for image registration based on mutual information. Zbl 1182.94028
Thévenaz, P.; Bierlaire, M.; Unser, M.
2
2008
Generalized smoothing splines and the optimal discretization of the Wiener filter. Zbl 1370.41022
Unser, Michael; Blu, Thierry
2
2005
Least-squares image resizing using finite differences. Zbl 1037.68783
Muñoz, Arrate; Blu, Thierry; Unser, Michael
2
2001
Fast continuous wavelet transform: A least-squares formulation. Zbl 0923.94005
Vrhel, M. J.; Lee, C.; Unser, M.
2
1997
A practical guide to the implementation of the wavelet transform. Zbl 0855.92005
Unser, Michael
2
1996
Support and approximation properties of Hermite splines. Zbl 07161520
Fageot, Julien; Aziznejad, Shayan; Unser, Michael; Uhlmann, Virginie
3
2020
A representer theorem for deep neural networks. Zbl 1434.68526
Unser, Michael
2
2019
Hybrid-spline dictionaries for continuous-domain inverse problems. Zbl 07123517
Debarre, Thomas; Aziznejad, Shayan; Unser, Michael
1
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
1
2019
Scaling limits of solutions of linear stochastic differential equations driven by Lévy white noises. Zbl 07081631
Fageot, Julien; Unser, Michael
1
2019
Fast piecewise-affine motion estimation without segmentation. Zbl 1409.94154
Fortun, Denis; Storath, Martin; Rickert, Dennis; Weinmann, Andreas; Unser, Michael
2
2018
Periodic splines and Gaussian processes for the resolution of linear inverse problems. Zbl 1415.94039
Badoual, Anaïs; Fageot, Julien; Unser, Michael
1
2018
Continuous-domain solutions of linear inverse problems with Tikhonov versus generalized TV regularization. Zbl 1415.94119
Gupta, Harshit; Fageot, Julien; Unser, Michael
1
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
17
2017
Splines are universal solutions of linear inverse problems with generalized TV regularization. Zbl 1382.41011
Unser, Michael; Fageot, Julien; Ward, John Paul
6
2017
A sampling theory for non-decaying signals. Zbl 1384.94015
Nguyen, Ha Q.; Unser, Michael
6
2017
Jump-penalized least absolute values estimation of scalar or circle-valued signals. Zbl 1383.62124
Storath, Martin; Weinmann, Andreas; Unser, Michael
5
2017
Multidimensional Lévy white noise in weighted Besov spaces. Zbl 1373.60084
Fageot, Julien; Fallah, Alireza; Unser, Michael
4
2017
On the Besov regularity of periodic Lévy noises. Zbl 1353.60046
Fageot, Julien; Unser, Michael; Ward, John Paul
4
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
Multiresolution subdivision snakes. Zbl 1409.94020
Badoual, Anaïs; Schmitter, Daniel; Uhlmann, Virginie; Unser, Michael
1
2017
Exact algorithms for \(L^1\)-TV regularization of real-valued or circle-valued signals. Zbl 1382.94029
Storath, Martin; Weinmann, Andreas; Unser, Michael
6
2016
Representer theorems for sparsity-promoting \(\ell_1\) regularization. Zbl 1359.94185
Unser, Michael; Fageot, Julien; Gupta, Harshit
5
2016
Hermite snakes with control of tangents. Zbl 1408.94654
Uhlmann, Virginie; Fageot, Julien; Unser, Michael
4
2016
Design of steerable wavelets to detect multifold junctions. Zbl 1408.42032
Püspöki, Zsuzsanna; Uhlmann, Virginie; Vonesch, Cédric; Unser, Michael
2
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
18
2015
Ellipse-preserving Hermite interpolation and subdivision. Zbl 1309.41003
Conti, Costanza; Romani, Lucia; Unser, Michael
14
2015
Structure tensor total variation. Zbl 1315.65019
Lefkimmiatis, Stamatios; Roussos, Anastasios; Maragos, Petros; Unser, Michael
12
2015
Wavelet statistics of sparse and self-similar images. Zbl 1348.60059
Fageot, Julien; Bostan, Emrah; Unser, Michael
5
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
Optimized Kaiser-Bessel window functions for computed tomography. Zbl 1408.94511
Nilchian, Masih; Ward, John Paul; Vonesch, Cédric; Unser, Michael
1
2015
Steerable PCA for rotation-invariant image recognition. Zbl 1326.92049
Vonesch, Cédric; Stauber, Frédéric; Unser, Michael
1
2015
An introduction to sparse stochastic processes. Zbl 1329.60002
Unser, Michael; Tafti, Pouya D.
23
2014
A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079
Unser, Michael; Tafti, Pouya D.; Sun, Qiyu
10
2014
On the continuity of characteristic functionals and sparse stochastic modeling. Zbl 1306.60036
Fageot, Julien; Amini, Arash; Unser, Michael
7
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
5
2014
Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\). Zbl 1347.42059
Ward, John Paul; Unser, Michael
5
2014
Sparsity and infinite divisibility. Zbl 1360.60086
Amini, Arash; Unser, Michael
2
2014
Approximation properties of Sobolev splines and the construction of compactly supported equivalents. Zbl 1298.41036
Ward, John Paul; Unser, Michael
2
2014
On the unique identification of continuous-time autoregressive models from sampled data. Zbl 1394.94824
Kirshner, Hagai; Unser, Michael; Ward, John Paul
1
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
9
2013
A unifying parametric framework for 2D steerable wavelet transforms. Zbl 1279.68340
Unser, Michael; Chenouard, Nicolas
7
2013
Decay properties of Riesz transforms and steerable wavelets. Zbl 1280.31002
Ward, John Paul; Chaudhury, Kunal Narayan; Unser, Michael
6
2013
Poisson image reconstruction with Hessian Schatten-norm regularization. Zbl 1373.94228
Lefkimmiatis, Stamatios; Unser, Michael
5
2013
Sparse stochastic processes and discretization of linear inverse problems. Zbl 1373.94544
Bostan, Emrah; Kamilov, Ulugbek S.; Nilchian, Masih; Unser, Michael
4
2013
Spline-based deforming ellipsoids for interactive 3D bioimage segmentation. Zbl 1373.94099
Delgado-Gonzalo, Ricard; Chenouard, Nicolas; Unser, Michael
3
2013
Bayesian estimation for continuous-time sparse stochastic processes. Zbl 1393.94161
Amini, Arash; Kamilov, Ulugbek S.; Bostan, Emrah; 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
Binary compressed imaging. Zbl 1373.94048
Bourquard, Aurélien; 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
Hessian-based norm regularization for image restoration with biomedical applications. Zbl 1372.94145
Lefkimmiatis, Stamatios; Bourquard, Aurélien; Unser, Michael
31
2012
Snakes with an ellipse-reproducing property. Zbl 1372.94066
Delgado-Gonzalo, Ricard; Thévenaz, Philippe; Seelamantula, Chandra Sekhar; Unser, Michael
10
2012
Exponential splines and minimal-support bases for curve representation. Zbl 1247.65014
Delgado-Gonzalo, R.; Thévenaz, P.; Unser, M.
7
2012
Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006
Sun, Qiyu; Unser, Michael
6
2012
3D steerable wavelets in practice. Zbl 1373.42043
Chenouard, Nicolas; Unser, Michael
2
2012
Image denoising in mixed Poisson-Gaussian noise. Zbl 1372.94168
Luisier, Florian; Blu, Thierry; Unser, Michael
14
2011
Stochastic models for sparse and piecewise-smooth signals. Zbl 1392.94500
Unser, Michael; Tafti, Pouya Dehghani
10
2011
On the Hilbert transform of wavelets. Zbl 1391.42041
Chaudhury, Kunal Narayan; Unser, Michael
7
2011
Steerable pyramids and tight wavelet frames in \(L_2(\mathbb R^d)\). Zbl 1372.42037
Unser, Michael; Chenouard, Nicolas; Van De Ville, Dimitri
5
2011
Compressibility of deterministic and random infinite sequences. Zbl 1391.60028
Amini, Arash; Unser, Michael; Marvasti, Farokh
4
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
7
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
3
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
Multiresolution monogenic signal analysis using the Riesz-Laplace wavelet transform. Zbl 1371.94541
Unser, Michael; Sage, Daniel; Van De Ville, Dimitri
13
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
6
2009
Construction of Hilbert transform pairs of wavelet bases and Gabor-like transforms. Zbl 1391.94169
Chaudhury, Kunal Narayan; Unser, Michael
4
2009
Invariances, Laplacian-like wavelet bases, and the whitening of fractal processes. Zbl 1371.60067
Tafti, Pouya Dehghani; Van De Ville, Dimitri; Unser, Michael
4
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
3
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
25
2007
Consistent sampling and signal recovery. Zbl 1390.94652
Hirabayashi, Akira; Unser, Michael
9
2007
Self-similarity. II: Optimal estimation of fractal processes. Zbl 1390.41010
Blu, Thierry; Unser, Michael
8
2007
Self-similarity. I: Splines and operators. Zbl 1388.41005
Unser, Michael; Blu, Thierry
8
2007
Complex B-splines. Zbl 1092.41003
Forster, Brigitte; Blu, Thierry; Unser, Michael
11
2006
Nonideal sampling and interpolation from noisy observations in shift-invariant spaces. Zbl 1373.94841
Eldar, Y. C.; Unser, M.
10
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
40
2005
Cardinal exponential splines. II: Think analog, act digital. Zbl 1370.94261
Unser, Michael
7
2005
Generalized smoothing splines and the optimal discretization of the Wiener filter. Zbl 1370.41022
Unser, Michael; Blu, Thierry
2
2005
Wavelet theory demystified. Zbl 1369.42001
Unser, Michael; Blu, Thierry
8
2003
Complete parameterization of piecewise-polynomial interpolation kernels. Zbl 1279.94041
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
6
2003
Continuous wavelet transform with arbitrary scales and \(O(N)\) complexity. Zbl 0996.94004
Muñoz, Arrate; Ertlé, Raphaël; Unser, Michael
6
2002
Wavelets, fractals, and radial basis functions. Zbl 1369.94088
Blu, Thierry; Unser, Michael
5
2002
Sampling of periodic signals: a quantitative error analysis. Zbl 1369.94422
Jacob, Mathews; Blu, Thierry; Unser, Michael
3
2002
Generalized sampling: a variational approach. II. Applications. Zbl 1369.94425
Kybic, Jan; Blu, Thierry; Unser, Michael
1
2002
MOMS: Maximal-order interpolation of minimal support. Zbl 1036.68606
Blu, Thierry; Thévenaz, Philippe; Unser, Michael
10
2001
Least-squares image resizing using finite differences. Zbl 1037.68783
Muñoz, Arrate; Blu, Thierry; Unser, Michael
2
2001
Cardiac motion analysis from ultrasound sequences using non-rigid registration. Zbl 1041.68664
Ledesma-Carbayo, María J.; Kybic, Jan; Desco, Manuel; Santos, Andrés; Unser, Michael
1
2001
Sampling – 50 years after Shannon. Zbl 1404.94028
Unser, M.
66
2000
Fractional splines and wavelets. Zbl 0940.41004
Unser, Michael; Blu, Thierry
58
2000
Optimization of mutual information for multiresolution image registration. Zbl 0993.94534
Thévenaz, Philippe; Unser, Michael
12
2000
...and 25 more Documents
all top 5

Cited by 1,145 Authors

34 Unser, Michael A.
14 García, Antonio G.
14 Weinmann, Andreas
13 Conti, Costanza
13 Fageot, Julien
12 Massopust, Peter R.
11 Romani, Lucia
10 Forster-Heinlein, Brigitte
10 Pérez-Villalón, Gerardo
10 Storath, Martin
10 Sun, Qiyu
10 Ward, John Paul
9 Aldroubi, Akram
9 Sun, Wenchang
8 Li, Song
8 Pitolli, Francesca
8 Yoon, Jungho
7 Hansen, Anders C.
7 Kwon, Kil Hyun
7 Lv, Xiaoguang
7 Zhou, Xingwei
6 Hernández-Medina, Miguel Ángel
6 Jiang, Yingchun
6 Schönlieb, Carola-Bibiane
5 Băleanu, Dumitru I.
5 Campos Pinto, Martin
5 Christensen, Ole
5 Cotronei, Mariantonia
5 Liu, Jun
5 Muñoz-Bouzo, María José
5 Sauer, Tomas
5 Strauss, Olivier
5 Wang, Chengxiang
5 Yang, Jianbin
5 Zhang, Lingli
5 Zhang, Qingyue
4 Bernstein, Swanhild
4 Condat, Laurent
4 Costarelli, Danilo
4 Dinç, Erdal
4 Guo, Yumeng
4 Holler, Martin
4 Huang, Ting-Zhu
4 Jeong, Byeongseon
4 Khanna, Nikhil
4 Kounchev, Ognyan Ivanov
4 Li, Baobin
4 Poon, Clarice
4 Render, Hermann
4 Steidl, Gabriele
4 Thesing, Laura
4 Vinti, Gianluca
4 Wang, Haichao
4 Zakharov, Victor G.
4 Zeng, Li
4 Zhou, Jiliu
3 Adcock, Ben
3 Amini, Arash Ali
3 Arridge, Simon R.
3 Bozzini, Mira
3 Bredies, Kristian
3 Charina, Maria
3 Chen, Ke
3 Chen, Weidong
3 Clausel, Marianne
3 Corach, Gustavo
3 Dragotti, Pier Luigi
3 Dyn, Nira
3 Giribet, Juan Ignacio
3 Goh, Say Song
3 Haltmeier, Markus
3 Jarrah, Abdullah M.
3 Jiang, Le
3 Jung, Miyoun
3 Kang, Myungjoo
3 Kaushik, Shiv Kumar
3 Kiefer, Lukas
3 Kirkby, Justin Lars
3 Ledford, Jeff
3 Lesaffre, Emmanuel M. E. H.
3 Liu, Bei
3 Liu, Pengfei
3 Maass, Peter
3 Manni, Carla
3 Nashed, M. Zuhair
3 Nguyen, Ha Q.
3 Novara, Paola
3 Papafitsoros, Konstantinos
3 Perrier, Valérie
3 Pesquet, Jean-Christophe
3 Pezza, Laura
3 Prestin, Jurgen
3 Pu, Yifei
3 Rabut, Christophe
3 Rossini, Milvia
3 Rosso, Osvaldo A.
3 Schwab, Johannes
3 Siarry, Patrick
3 Skopina, Maria A.
3 Uhlmann, Virginie
...and 1,045 more Authors
all top 5

Cited in 175 Serials

51 Applied and Computational Harmonic Analysis
32 International Journal of Wavelets, Multiresolution and Information Processing
26 Journal of Mathematical Imaging and Vision
25 Journal of Mathematical Analysis and Applications
24 Inverse Problems
24 Journal of Computational and Applied Mathematics
23 SIAM Journal on Imaging Sciences
17 Applied Mathematics and Computation
17 Advances in Computational Mathematics
15 Journal of Approximation Theory
13 The Journal of Fourier Analysis and Applications
11 Numerical Functional Analysis and Optimization
11 Inverse Problems and Imaging
10 Computers & Mathematics with Applications
10 Fuzzy Sets and Systems
9 Multidimensional Systems and Signal Processing
9 Numerical Algorithms
8 Applied Mathematics Letters
8 Signal Processing
7 Circuits, Systems, and Signal Processing
7 Computer Aided Geometric Design
7 Journal of Scientific Computing
7 Mathematical Problems in Engineering
6 Linear Algebra and its Applications
6 Pattern Recognition
5 Applicable Analysis
5 Automatica
5 Applied Numerical Mathematics
5 Applied Mathematical Modelling
5 Journal of Inequalities and Applications
4 Journal of Computational Physics
4 Mathematics of Computation
4 Information Sciences
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Constructive Approximation
4 Stochastic Processes and their Applications
4 Journal of Inverse and Ill-Posed Problems
4 Analysis and Applications (Singapore)
4 Science China. Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Physica A
3 Mathematics and Computers in Simulation
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 SIAM Journal on Optimization
3 SIAM Journal on Scientific Computing
3 Advances in Applied Clifford Algebras
3 Integral Transforms and Special Functions
3 Nonlinear Dynamics
3 Abstract and Applied Analysis
3 Fractional Calculus & Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 EURASIP Journal on Advances in Signal Processing
2 Chaos, Solitons and Fractals
2 BIT
2 Journal of Functional Analysis
2 Journal of Multivariate Analysis
2 Results in Mathematics
2 Journal of Time Series Analysis
2 Stochastic Analysis and Applications
2 Journal of Theoretical Probability
2 Neural Computation
2 International Journal of Computer Mathematics
2 SIAM Journal on Mathematical Analysis
2 Computational Statistics and Data Analysis
2 International Journal of Computer Vision
2 Fractals
2 Science in China. Series E
2 Journal of Mathematical Fluid Mechanics
2 Acta Mathematica Sinica. English Series
2 Multiscale Modeling & Simulation
2 Complex Analysis and Operator Theory
2 Computational & Mathematical Methods in Medicine
2 SIAM Journal on Financial Mathematics
2 International Journal of Differential Equations
2 Science China. Information Sciences
2 International Journal for Numerical Methods in Biomedical Engineering
2 GEM - International Journal on Geomathematics
2 Statistics and Computing
2 Axioms
2 Mathematics
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Theoretical and Computational Fluid Dynamics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Biometrics
1 Collectanea Mathematica
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
...and 75 more Serials
all top 5

Cited in 50 Fields

287 Information and communication theory, circuits (94-XX)
250 Numerical analysis (65-XX)
208 Harmonic analysis on Euclidean spaces (42-XX)
105 Approximations and expansions (41-XX)
78 Computer science (68-XX)
48 Statistics (62-XX)
47 Biology and other natural sciences (92-XX)
45 Functional analysis (46-XX)
41 Operations research, mathematical programming (90-XX)
38 Partial differential equations (35-XX)
33 Probability theory and stochastic processes (60-XX)
31 Integral transforms, operational calculus (44-XX)
26 Operator theory (47-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Systems theory; control (93-XX)
16 Real functions (26-XX)
15 Ordinary differential equations (34-XX)
9 Fluid mechanics (76-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 Special functions (33-XX)
5 Combinatorics (05-XX)
5 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
5 Integral equations (45-XX)
4 Differential geometry (53-XX)
4 Mechanics of deformable solids (74-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Geophysics (86-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Number theory (11-XX)
3 Potential theory (31-XX)
3 Abstract harmonic analysis (43-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year