# zbMATH — the first resource for mathematics

## Journal of Mathematical Imaging and Vision

 Short Title: J. Math. Imaging Vis. Publisher: Springer US, New York, NY ISSN: 0924-9907; 1573-7683/e Online: http://link.springer.com/journal/volumesAndIssues/10851 Comments: Indexed cover-to-cover
 Documents Indexed: 1,036 Publications (since 1992) References Indexed: 845 Publications with 33,990 References.
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#### Latest Issues

 63, No. 6 (2021) 63, No. 5 (2021) 63, No. 4 (2021) 63, No. 3 (2021) 63, No. 2 (2021) 63, No. 1 (2021) 62, No. 9 (2020) 62, No. 8 (2020) 62, No. 6-7 (2020) 62, No. 5 (2020) 62, No. 4 (2020) 62, No. 3 (2020) 62, No. 2 (2020) 62, No. 1 (2020) 61, No. 9 (2019) 61, No. 8 (2019) 61, No. 7 (2019) 61, No. 6 (2019) 61, No. 5 (2019) 61, No. 4 (2019) 61, No. 3 (2019) 61, No. 2 (2019) 61, No. 1 (2019) 60, No. 9 (2018) 60, No. 8 (2018) 60, No. 7 (2018) 60, No. 6 (2018) 60, No. 5 (2018) 60, No. 4 (2018) 60, No. 3 (2018) 60, No. 2 (2018) 60, No. 1 (2018) 59, No. 3 (2017) 59, No. 2 (2017) 59, No. 1 (2017) 58, No. 3 (2017) 58, No. 2 (2017) 58, No. 1 (2017) 57, No. 3 (2017) 57, No. 2 (2017) 57, No. 1 (2017) 56, No. 3 (2016) 56, No. 2 (2016) 56, No. 1 (2016) 55, No. 3 (2016) 55, No. 2 (2016) 55, No. 1 (2016) 54, No. 3 (2016) 54, No. 2 (2016) 54, No. 1 (2016) 53, No. 3 (2015) 53, No. 2 (2015) 53, No. 1 (2015) 52, No. 3 (2015) 52, No. 2 (2015) 52, No. 1 (2015) 51, No. 3 (2015) 51, No. 2 (2015) 51, No. 1 (2015) 50, No. 3 (2014) 50, No. 1-2 (2014) 49, No. 3 (2014) 49, No. 2 (2014) 49, No. 1 (2014) 48, No. 3 (2014) 48, No. 2 (2014) 48, No. 1 (2014) 47, No. 3 (2013) 47, No. 1-2 (2013) 46, No. 3 (2013) 46, No. 2 (2013) 46, No. 1 (2013) 45, No. 3 (2013) 45, No. 2 (2013) 45, No. 1 (2013) 44, No. 3 (2012) 44, No. 2 (2012) 44, No. 1 (2012) 43, No. 3 (2012) 43, No. 2 (2012) 43, No. 1 (2012) 42, No. 2-3 (2012) 42, No. 1 (2012) 41, No. 3 (2011) 41, No. 1-2 (2011) 40, No. 3 (2011) 40, No. 2 (2011) 40, No. 1 (2011) 39, No. 3 (2011) 39, No. 2 (2011) 39, No. 1 (2011) 38, No. 3 (2010) 37, No. 3 (2010) 37, No. 1 (2010) 36, No. 2 (2010) 34, No. 3 (2009) 33, No. 2 (2009) 32, No. 1 (2008) 31, No. 2-3 (2008) 28, No. 3 (2007) ...and 53 more Volumes
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#### Authors

 15 Schnörr, Christoph 13 Steidl, Gabriele 12 Dougherty, Edward R. 12 Pock, Thomas 11 Aujol, Jean-François 11 Duits, Remco 11 Florack, Luc M. J. 11 Najman, Laurent 10 Morel, Jean-Michel 10 ter Haar Romeny, Bart M. 10 Weickert, Joachim 8 Chambolle, Antonin 8 Hintermüller, Michael 8 Kimmel, Ron 8 Lauze, François 8 Lindeberg, Tony 8 Nielsen, Mads 8 Nikolova, Mila 8 Passat, Nicolas 7 Lachaud, Jacques-Olivier 7 Mazo, Loïc 7 Viergever, Max A. 7 Welk, Martin 6 Barrera, Junior 6 Bartoli, Adrien 6 Ciesielski, Krzysztof Chris 6 Coeurjolly, David 6 Cohen, Laurent D. 6 Couprie, Michel 6 Durou, Jean-Denis 6 Kenmochi, Yukiko 6 Kuijper, Arjan 6 Pesquet, Jean-Christophe 6 Quéau, Yvain 6 Ronse, Christian 6 Scherzer, Otmar 6 Sochen, Nir 6 Vese, Luminita A. 5 Bhowmick, Partha 5 Boxer, Laurence 5 Burger, Martin 5 Citti, Giovanna 5 Cousty, Jean 5 Delon, Julie 5 Gilboa, Guy 5 Morigi, Serena 5 Peyré, Gabriel 5 Sarti, Alessandro 5 Schönlieb, Carola-Bibiane 5 Tai, Xuecheng 5 Žunić, Joviša D. 4 Almansa, Andrés 4 Astola, Jaakko T. 4 Åström, Kalle 4 Aubert, Gilles 4 Batard, Thomas 4 Bekkers, Erik J. 4 Bertozzi, Andrea Louise 4 Bertrand, Gilles 4 Boutry, Nicolas 4 Breuß, Michael 4 Cremers, Daniel 4 Deledalle, Charles-Alban 4 Desolneux, Agnès 4 Elmoataz, Abderrahim 4 Fadili, Jalal M. 4 Géraud, Thierry 4 Graña, Manuel 4 Kahl, Fredrik 4 Lanza, Alessandro 4 Lorenz, Dirk Alfred 4 Moisan, Lionel 4 Pedersen, Kim Steenstrup 4 Rabin, Julien 4 Rieck, Michael Q. 4 Ritter, Gerhard X. 4 Roussillon, Tristan 4 Salden, Alfons H. 4 Schmitzer, Bernhard 4 Sgallari, Fiorella 4 Soatto, Stefano 4 Talbot, Hugues 4 Tari, Sibel 4 Valkonen, Tuomo 4 Wang, Xiangyang 3 Angulo, Jesús 3 Bae, Egil 3 Balmashnova, Evgeniya 3 Barbeiro, Sílvia 3 Basri, Ronen 3 Baudrier, Étienne 3 Bayro-Corrochano, Eduardo 3 Bianconi, Francesco 3 Bilbro, Griff L. 3 Blanc-Féraud, Laure 3 Bouthemy, Patrick 3 Bredies, Kristian 3 Bruckstein, Alfred Marcel 3 Brunetti, Sara 3 Caselles Costa, Vicent ...and 1,810 more Authors
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#### Fields

 753 Computer science (68-XX) 526 Information and communication theory, circuits (94-XX) 132 Numerical analysis (65-XX) 73 Biology and other natural sciences (92-XX) 71 Statistics (62-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 53 Operations research, mathematical programming (90-XX) 33 Partial differential equations (35-XX) 32 Differential geometry (53-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 15 General and overarching topics; collections (00-XX) 15 Probability theory and stochastic processes (60-XX) 14 Geometry (51-XX) 13 Combinatorics (05-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Convex and discrete geometry (52-XX) 11 Systems theory; control (93-XX) 8 Integral transforms, operational calculus (44-XX) 7 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 4 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Commutative algebra (13-XX) 2 Difference and functional equations (39-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

604 Publications have been cited 4,431 times in 3,171 Documents Cited by Year
A first-order primal-dual algorithm for convex problems with applications to imaging. Zbl 1255.68217
Chambolle, Antonin; Pock, Thomas
2011
An algorithm for total variation minimization and applications. Zbl 1366.94048
Chambolle, Antonin
2004
A fast spectral method for active 3D shape reconstruction. Zbl 1366.94056
Li, Jia; Hero, Alfred O.
2004
An inertial forward-backward algorithm for monotone inclusions. Zbl 1327.47063
Lorenz, Dirk A.; Pock, Thomas
2015
A variational approach to remove outliers and impulse noise. Zbl 1366.94065
Nikolova, Mila
2004
A combined first and second order variational approach for image reconstruction. Zbl 1362.94009
Papafitsoros, K.; Schönlieb, C. B.
2014
Removing multiplicative noise by Douglas-Rachford splitting methods. Zbl 1287.94016
Steidl, G.; Teuber, T.
2010
A classical construction for the digital fundamental group. Zbl 0946.68151
Boxer, Laurence
1999
Image decomposition into a bounded variation component and an oscillating component. Zbl 1371.94031
Aujol, Jean-François; Aubert, Gilles; Blanc-Féraud, Laure; Chambolle, Antonin
2005
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Curvature based image registration. Zbl 1034.68110
Fischer, Bernd; Modersitzki, Jan
2003
Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230
Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat
2011
Grey-scale morphology based on fuzzy logic. Zbl 0994.68168
Deng, Ting-Quan; Heijmans, Henk J. A. M.
2002
iPiasco: inertial proximal algorithm for strongly convex optimization. Zbl 1327.90219
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2015
Properties of digital homotopy. Zbl 1383.68090
Boxer, Laurence
2005
Variational optic flow computation with a spatio-temporal smoothness constraint. Zbl 0988.68821
Weickert, Joachim; Schnörr, Christoph
2001
Some first-order algorithms for total variation based image restoration. Zbl 1287.94012
Aujol, Jean-François
2009
A variational model to remove the multiplicative noise in ultrasound images. Zbl 1255.68240
Jin, Zhengmeng; Yang, Xiaoping
2011
Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space. Zbl 1255.68250
Lindeberg, Tony
2011
The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data. Zbl 1255.68195
2011
The two-dimensional Clifford-Fourier transform. Zbl 1122.42016
Brackx, Fred; De Schepper, Nele; Sommen, Frank
2006
On advances in statistical modeling of natural images. Zbl 1033.68133
Srivastava, A.; Lee, A. B.; Simoncelli, E. P.; Zhu, S.-C.
2003
Relations between regularization and diffusion filtering. Zbl 0945.68183
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2000
Linear scale-space has first been proposed in Japan. Zbl 1002.68177
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1999
Image denoising and decomposition with total variation minimization and oscillatory functions. Zbl 1366.94072
Vese, Luminita A.; Osher, Stanley J.
2004
Adaptive fractional-order multi-scale method for image denoising. Zbl 1255.68278
Zhang, Jun; Wei, Zhihui; Xiao, Liang
2012
A sparse multiscale algorithm for dense optimal transport. Zbl 1351.49037
Schmitzer, Bernhard
2016
Matrix recipes for hard thresholding methods. Zbl 1311.90141
Kyrillidis, Anastasios; Cevher, Volkan
2014
Convergence analysis for a primal-dual monotone + skew splitting algorithm with applications to total variation minimization. Zbl 1302.65142
2014
Sliced and Radon Wasserstein barycenters of measures. Zbl 1332.94014
Bonneel, Nicolas; Rabin, Julien; Peyré, Gabriel; Pfister, Hanspeter
2015
Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y.
2014
Preconditioned Douglas-Rachford algorithms for TV- and TGV-regularized variational imaging problems. Zbl 1343.94003
Bredies, Kristian; Sun, Hong Peng
2015
Preserving topology by a digitization process. Zbl 0895.68138
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1998
Nonnegative diffusion orientation distribution function. Zbl 1276.94004
Qi, Liqun; Yu, Gaohang; Xu, Yi
2013
Total cyclic variation and generalizations. Zbl 1298.94011
Cremers, Daniel; Strekalovskiy, Evgeny
2013
Edge detection by Helmholtz principle. Zbl 0988.68819
Desolneux, Agnès; Moisan, Lionel; Morel, Jean-Michel
2001
Regularizing flows for constrained matrix-valued images. Zbl 1366.94049
Chefd’hotel, C.; Tschumperlé, D.; Deriche, R.; Faugeras, O.
2004
Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of $$\mathbb{L}$$-fuzzy mathematical morphology. Zbl 1255.68267
Sussner, Peter; Nachtegael, Mike; Mélange, Tom; Deschrijver, Glad; Esmi, Estevão; Kerre, Etienne
2012
Convolution products for hypercomplex Fourier transforms. Zbl 1292.42007
Bujack, Roxana; De Bie, Hendrik; De Schepper, Nele; Scheuermann, Gerik
2014
A multi-orientation analysis approach to retinal vessel tracking. Zbl 1291.92075
Bekkers, Erik; Duits, Remco; Berendschot, Tos; ter Haar Romeny, Bart
2014
Image and video colorization using vector-valued reproducing kernel Hilbert spaces. Zbl 1392.94042
Quang, Minh Ha; Kang, Sung Ha; Le, Triet M.
2010
Two enhanced fourth order diffusion models for image denoising. Zbl 1255.68235
Guidotti, Patrick; Longo, Kate
2011
On the convergence of primal-dual hybrid gradient algorithms for total variation image restoration. Zbl 1255.68210
Bonettini, Silvia; Ruggiero, Valeria
2012
Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010
De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T.
2017
Some topological properties of surfaces in $$Z^3$$. Zbl 0942.68132
Bertrand, Gilles; Malgouyres, Rémy
1999
Morphological and linear scale spaces for fiber enhancement in DW-MRI. Zbl 1303.92049
Duits, Remco; Haije, Tom Dela; Creusen, Eric; Ghosh, Arpan
2013
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
2014
An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066
Hintermüller, Michael; Ring, Wolfgang
2004
Image sharpening by flows based on triple well potentials. Zbl 1366.94051
Gilboa, Guy; Sochen, Nir; Zeevi, Yehoshua Y.
2004
Landmark matching via large deformation diffeomorphisms on the sphere. Zbl 1366.94052
Glaunès, Joan; Vaillant, Marc; Miller, Michael I.
2004
Multiplicative calculus in biomedical image analysis. Zbl 1255.92014
Florack, Luc; Van Assen, Hans
2012
Convex image denoising via non-convex regularization with parameter selection. Zbl 1391.94088
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2016
Connectivity on complete lattices. Zbl 0914.06002
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1998
Optimal algorithm for shape from shading and path planning. Zbl 0995.68101
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2001
Intrinsic polynomials for regression on Riemannian manifolds. Zbl 1310.53038
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2014
Constrained and SNR-based solutions for TV-Hilbert space image denoising. Zbl 1287.94010
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2006
Dimensional properties of graphs and digital spaces. Zbl 1191.05088
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1996
Image sequence interpolation using optimal control. Zbl 1255.68220
Chen, Kanglin; Lorenz, Dirk A.
2011
Multigrid convergence of calculated features in image analysis. Zbl 0969.68167
Klette, Reinhard; Žunić, Joviša
2000
Segmentation with depth but without detecting junctions. Zbl 1033.68132
Esedoglu, Selim; March, Riccardo
2003
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
2013
Sparse non-negative stencils for anisotropic diffusion. Zbl 1365.68451
Fehrenbach, Jérôme; Mirebeau, Jean-Marie
2014
Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016
Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas
2017
Poisson noise reduction with non-local PCA. Zbl 1365.94050
Salmon, Joseph; Harmany, Zachary; Deledalle, Charles-Alban; Willett, Rebecca
2014
Variational restoration and edge detection for color images. Zbl 1020.68079
Brook, Alexander; Kimmel, Ron; Sochen, Nir A.
2003
A partial splitting augmented Lagrangian method for low patch-rank image decomposition. Zbl 1332.68270
Han, Deren; Kong, Weiwei; Zhang, Wenxing
2015
Retinex by higher order total variation $$L^1$$ decomposition. Zbl 1400.94025
Liang, Jingwei; Zhang, Xiaoqun
2015
Tube methods for BV regularization. Zbl 1101.68927
Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar
2003
Properties of Gauss digitized shapes and digital surface integration. Zbl 1338.65060
Lachaud, Jacques-Olivier; Thibert, Boris
2016
A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data. Zbl 1338.65155
Bergmann, Ronny; Weinmann, Andreas
2016
Discretization in Hausdorff space. Zbl 0952.68150
Ronse, Christian; Tajine, Mohamed
2000
Motor algebra of 3D kinematics: The case of the hand-eye calibration. Zbl 0969.68645
Bayro-Corrochano, Eduardo; Daniilidis, Kostas; Sommer, Gerald
2000
Convex relaxation of a class of vertex penalizing functionals. Zbl 1293.49063
Bredies, Kristian; Pock, Thomas; Wirth, Benedikt
2013
Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis. Zbl 1398.65135
Duits, R.; Meesters, S. P. L.; Mirebeau, J.-M.; Portegies, J. M.
2018
On using functions to describe the shape. Zbl 1020.68081
Kindratenko, Volodymyr V.
2003
Image matching using generalized scale-space interest points. Zbl 1357.94023
Lindeberg, Tony
2015
Local discriminant bases and their applications. Zbl 0863.94004
Saito, Naoki; Coifman, Ronald R.
1995
Convex Hodge decomposition and regularization of image flows. Zbl 1287.94017
Yuan, Jing; Schnörr, Christoph; Steidl, Gabriele
2009
Proximal algorithms for multicomponent image recovery problems. Zbl 1255.68213
Briceño-Arias, L. M.; Combettes, P. L.; Pesquet, J.-C.; Pustelnik, N.
2011
Non-local methods with shape-adaptive patches (NLM-SAP). Zbl 1255.68227
Deledalle, Charles-Alban; Duval, Vincent; Salmon, Joseph
2012
Digital imaging: a unified topological framework. Zbl 1255.68254
Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian
2012
Fuzzy connectedness image segmentation in graph cut formulation: a linear-time algorithm and a comparative analysis. Zbl 1255.68222
Ciesielski, Krzysztof Chris; Udupa, Jayaram K.; Falcão, A. X.; Miranda, P. A. V.
2012
Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015
Hintermüller, Michael; Rautenberg, Carlos N.
2017
A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
2016
Mumford-Shah and Potts regularization for manifold-valued data. Zbl 1344.49055
Weinmann, Andreas; Demaret, Laurent; Storath, Martin
2016
A theoretical tour of connectivity in image processing and analysis. Zbl 1040.68130
Braga-Neto, Ulisses; Goutsias, John
2003
Eikonal equation adaptation on weighted graphs: fast geometric diffusion process for local and non-local image and data processing. Zbl 1310.94017
Desquesnes, Xavier; Elmoataz, Abderrahim; Lézoray, Olivier
2013
Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099
Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A.
2002
Inf-semilattice approach to self-dual morphology. Zbl 1020.68093
Heijmans, Henk J. A. M.; Keshet, Renato
2002
Color image analysis by quaternion-type moments. Zbl 1331.68266
Chen, Beijing; Shu, Huazhong; Coatrieux, Gouenou; Chen, Gang; Sun, Xingming; Coatrieux, Jean Louis
2015
Practical, unified, motion and missing data treatment in degraded video. Zbl 1366.94053
Kokaram, Anil
2004
Morphological amoebas are self-snakes. Zbl 1255.94029
Welk, Martin; Breuß, Michael; Vogel, Oliver
2011
An inexact alternating directions algorithm for constrained total variation regularized compressive sensing problems. Zbl 1255.94030
Xiao, Yun-Hai; Song, Hui-Na
2012
Image labeling by assignment. Zbl 1460.62101
Åström, Freddie; Petra, Stefania; Schmitzer, Bernhard; Schnörr, Christoph
2017
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
2017
Defect detection from multi-frequency limited data via topological sensitivity. Zbl 1337.76056
Funes, José Félix; Perales, José Manuel; Rapún, María-Luisa; Vega, José Manuel
2016
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
2016
Lattice Boltzmann models for anisotropic diffusion of images. Zbl 0941.68793
Jawerth, Björn; Lin, Peng; Sinzinger, Eric
1999
Illumination invariant face recognition using quaternion-based correlation filters. Zbl 1276.68138
Rizo-Rodríguez, Dayron; Méndez-Vázquez, Heydi; García-Reyes, Edel
2013
Backwards principal component analysis and principal nested relations. Zbl 1308.62124
Damon, James; Marron, J. S.
2014
Deep neural networks motivated by partial differential equations. Zbl 1434.68522
2020
Crouzeix-Raviart approximation of the total variation on simplicial meshes. Zbl 07255779
Chambolle, Antonin; Pock, Thomas
2020
Regularization by architecture: a deep prior approach for inverse problems. Zbl 1434.68505
Dittmer, Sören; Kluth, Tobias; Maass, Peter; Otero Baguer, Daniel
2020
Accelerated variational PDEs for efficient solution of regularized inversion problems. Zbl 1440.65124
Benyamin, Minas; Calder, Jeff; Sundaramoorthi, Ganesh; Yezzi, Anthony
2020
Sparse reconstruction of log-conductivity in current density impedance tomography. Zbl 1437.35704
Gupta, Madhu; Mishra, Rohit Kumar; Roy, Souvik
2020
A characterization of proximity operators. Zbl 07255773
Gribonval, Rémi; Nikolova, Mila
2020
New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets. Zbl 1455.94005
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo
2020
Nonlocal elastica model for sparse reconstruction. Zbl 1455.94040
Yan, Mengyuan; Duan, Yuping
2020
A two-stage method for spectral-spatial classification of hyperspectral images. Zbl 07255774
Chan, Raymond H.; Kan, Kelvin K.; Nikolova, Mila; Plemmons, Robert J.
2020
New insights on the optimality conditions of the $$\ell_2-\ell_0$$ minimization problem. Zbl 07255775
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles
2020
Unsupervised assignment flow: label learning on feature manifolds by spatially regularized geometric assignment. Zbl 07255784
Zern, Artjom; Zisler, Matthias; Petra, Stefania; Schnörr, Christoph
2020
Single image blind deblurring based on salient edge-structures and elastic-net regularization. Zbl 07289200
Yu, XiaoYuan; Xie, Wei
2020
Discrete total variation with finite elements and applications to imaging. Zbl 1448.94016
Herrmann, Marc; Herzog, Roland; Schmidt, Stephan; Vidal-Núñez, José; Wachsmuth, Gerd
2019
An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration. Zbl 07012386
Zeng, Chao; Jia, Rui; Wu, Chunlin
2019
A convex geodesic selective model for image segmentation. Zbl 1448.94031
Roberts, Michael; Chen, Ke; Irion, Klaus L.
2019
Data fitting on manifolds with composite Bézier-like curves and blended cubic splines. Zbl 07073924
Gousenbourger, Pierre-Yves; Massart, Estelle; Absil, P.-A.
2019
Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media. Zbl 1455.94020
Haltmeier, Markus; Nguyen, Linh V.
2019
Geometric preservation of 2D digital objects under rigid motions. Zbl 1431.52023
Ngo, Phuc; Passat, Nicolas; Kenmochi, Yukiko; Debled-Rennesson, Isabelle
2019
Fast algorithm of 3D discrete image orthogonal moments computation based on 3D cuboid. Zbl 1443.68202
Jahid, Tarik; Karmouni, Hicham; Sayyouri, Mhamed; Hmimid, Abdeslam; Qjidaa, Hassan
2019
Chan-Vese reformulation for selective image segmentation. Zbl 07122008
Roberts, Michael; Spencer, Jack
2019
Some theoretical links between shortest path filters and minimum spanning tree filters. Zbl 1446.68160
Danda, Sravan; Challa, Aditya; Sagar, B. S. Daya; Najman, Laurent
2019
Multiplicative noise removal based on the smooth diffusion equation. Zbl 1446.94013
Shan, Xiujie; Sun, Jiebao; Guo, Zhichang
2019
Component-graph construction. Zbl 1446.68182
Passat, Nicolas; Naegel, Benoît; Kurtz, Camille
2019
Regularization with metric double integrals of functions with values in a set of vectors. Zbl 1451.49038
Ciak, René; Melching, Melanie; Scherzer, Otmar
2019
How to make $$n$$-D plain maps defined on discrete surfaces Alexandrov-well-composed in a self-dual way. Zbl 1446.68176
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent
2019
Factoring a homography to analyze projective distortion. Zbl 1446.51007
Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko
2019
Pointwise Besov space smoothing of images. Zbl 1454.94011
Buzzard, Gregery T.; Chambolle, Antonin; Cohen, Jonathan D.; Levine, Stacey E.; Lucier, Bradley J.
2019
A discrete framework to find the optimal matching between manifold-valued curves. Zbl 07012382
Le Brigant, Alice
2019
Fractal descriptors of texture images based on the triangular prism dimension. Zbl 1445.68197
Florindo, João Batista; Bruno, Odemir Martinez
2019
A $$Q$$-convexity vector descriptor for image analysis. Zbl 1430.94006
Balázs, P.; Brunetti, S.
2019
RNLp: mixing nonlocal and TV-Lp methods to remove impulse noise from images. Zbl 1448.94009
Delon, Julie; Desolneux, Agnès; Sutour, Camille; Viano, Agathe
2019
Unified models for second-order TV-type regularisation in imaging: a new perspective based on vector operators. Zbl 07073919
Brinkmann, Eva-Maria; Burger, Martin; Grah, Joana Sarah
2019
Inertial alternating generalized forward-backward splitting for image colorization. Zbl 07073925
Tan, Pauline; Pierre, Fabien; Nikolova, Mila
2019
Image anomalies: a review and synthesis of detection methods. Zbl 07073927
Ehret, Thibaud; Davy, Axel; Morel, Jean-Michel; Delbracio, Mauricio
2019
Representation of surfaces with normal cycles and application to surface registration. Zbl 07122003
Roussillon, Pierre; Glaunès, Joan Alexis
2019
Currents and finite elements as tools for shape space. Zbl 07122009
Benn, James; Marsland, Stephen; McLachlan, Robert I.; Modin, Klas; Verdier, Olivier
2019
Repairing 3D binary images using the FCC grid. Zbl 07124252
Čomić, Lidija; Magillo, Paola
2019
A novel total generalized variation model for image dehazing. Zbl 07124254
Gu, Yanan; Yang, Xiaoping; Gao, Yiming
2019
Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis. Zbl 1398.65135
Duits, R.; Meesters, S. P. L.; Mirebeau, J.-M.; Portegies, J. M.
2018
A tutorial on well-composedness. Zbl 1435.68337
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent
2018
Nonlocal myriad filters for Cauchy noise removal. Zbl 1435.94030
Laus, Friederike; Pierre, Fabien; Steidl, Gabriele
2018
Priors with coupled first and second order differences for manifold-valued image processing. Zbl 1436.49040
Bergmann, Ronny; Fitschen, Jan Henrik; Persch, Johannes; Steidl, Gabriele
2018
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
2018
A novel diffeomorphic model for image registration and its algorithm. Zbl 1435.94052
Zhang, Daoping; Chen, Ke
2018
Hierarchical segmentations with graphs: quasi-flat zones, minimum spanning trees, and saliency maps. Zbl 1420.94010
Cousty, Jean; Najman, Laurent; Kenmochi, Yukiko; Guimarães, Silvio
2018
Iterative regularization via dual diagonal descent. Zbl 1425.94013
Garrigos, Guillaume; Rosasco, Lorenzo; Villa, Silvia
2018
Topology-preserving image segmentation by Beltrami representation of shapes. Zbl 1437.94011
Chan, Hei-Long; Yan, Shi; Lui, Lok-Ming; Tai, Xue-Cheng
2018
A geometric model of multi-scale orientation preference maps via Gabor functions. Zbl 1437.94006
Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro
2018
Path-value functions for which Dijkstra’s algorithm returns optimal mapping. Zbl 1397.05187
Ciesielski, Krzysztof Chris; Falcão, Alexandre Xavier; Miranda, Paulo A. V.
2018
Design and processing of invertible orientation scores of 3D images. Zbl 1433.94012
Janssen, M. H. J.; Janssen, A. J. E. M.; Bekkers, E. J.; Bescós, J. Oliván; Duits, R.
2018
A neuromathematical model for geometrical optical illusions. Zbl 1397.92110
Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna
2018
Fast recursive computation of Krawtchouk polynomials. Zbl 1400.33034
2018
Measure-valued variational models with applications to diffusion-weighted imaging. Zbl 1436.49056
Vogt, Thomas; Lellmann, Jan
2018
Whiteness constraints in a unified variational framework for image restoration. Zbl 1433.94014
Lanza, Alessandro; Morigi, Serena; Sciacchitano, Federica; Sgallari, Fiorella
2018
Spatio-temporal scale selection in video data. Zbl 1420.94015
Lindeberg, Tony
2018
Normal integration: a survey. Zbl 1420.94018
Quéau, Yvain; Durou, Jean-Denis; Aujol, Jean-François
2018
Image segmentation with depth information via simplified variational level set formulation. Zbl 1387.94024
Tan, Lu; Pan, Zhenkuan; Liu, Wanquan; Duan, Jinming; Wei, Weibo; Wang, Guodong
2018
Spatially constrained Student’s $$t$$-distribution based mixture model for robust image segmentation. Zbl 1437.94005
2018
New set of quaternion moments for color images representation and recognition. Zbl 1433.68515
Hosny, Khalid M.; Darwish, Mohamed M.
2018
Fast-marching methods for curvature penalized shortest paths. Zbl 1435.65041
Mirebeau, Jean-Marie
2018
A geometric model of brightness perception and its application to color images correction. Zbl 1437.94007
Batard, Thomas; Bertalmío, Marcelo
2018
String methods for stochastic image and shape matching. Zbl 1455.94006
Arnaudon, Alexis; Holm, Darryl; Sommer, Stefan
2018
Tensors, differential geometry and statistical shading analysis. Zbl 1398.68636
Holtmann-Rice, Daniel N.; Kunsberg, Benjamin S.; Zucker, Steven W.
2018
A discrete theory and efficient algorithms for forward-and-backward diffusion filtering. Zbl 1433.94017
Welk, Martin; Weickert, Joachim; Gilboa, Guy
2018
Recovery from errors due to domain truncation in magnetic particle imaging: approximation error modeling approach. Zbl 1435.94008
Brandt, Christina; Seppänen, Aku
2018
Distance functions based on multiple types of weighted steps combined with neighborhood sequences. Zbl 1433.68516
Nagy, Benedek; Strand, Robin; Normand, Nicolas
2018
Rate-invariant analysis of covariance trajectories. Zbl 1433.68472
Zhang, Zhengwu; Su, Jingyong; Klassen, Eric; Le, Huiling; Srivastava, Anuj
2018
Video denoising via empirical Bayesian estimation of space-time patches. Zbl 1387.94013
Arias, Pablo; Morel, Jean-Michel
2018
Photometric stereo by hemispherical metric embedding. Zbl 1425.94008
Bartal, Ofer; Ofir, Nati; Lipman, Yaron; Basri, Ronen
2018
Algorithms for the orthographic-$$n$$-point problem. Zbl 1398.68594
Steger, Carsten
2018
Improved susceptibility artifact correction of echo-planar MRI using the alternating direction method of multipliers. Zbl 1414.65004
Macdonald, Jan; Ruthotto, Lars
2018
LED-based photometric stereo: modeling, calibration and numerical solution. Zbl 1437.94025
Quéau, Yvain; Durix, Bastien; Wu, Tao; Cremers, Daniel; Lauze, François; Durou, Jean-Denis
2018
Joint contours, corner and T-junction detection: an approach inspired by the mammal visual system. Zbl 1433.68507
Buades, Antonio; Grompone von Gioi, Rafael; Navarro, Julia
2018
Modified Rodrigues parameters: an efficient representation of orientation in 3D vision and graphics. Zbl 1433.68471
Terzakis, George; Lourakis, Manolis; Ait-Boudaoud, Djamel
2018
Möbius moduli for fingerprint orientation fields. Zbl 1402.62273
Imdahl, Christina; Gottschlich, Carsten; Huckemann, Stephan; Ohshika, Ken&rsquo;ichi
2018
Characterization of bijective digitized rotations on the hexagonal grid. Zbl 1437.94024
Pluta, Kacper; Roussillon, Tristan; Coeurjolly, David; Romon, Pascal; Kenmochi, Yukiko; Ostromoukhov, Victor
2018
On the discriminant of Grunert’s system of algebraic equations and related topics. Zbl 1433.68468
Rieck, Michael Q.
2018
Fast blended transformations for partial shape registration. Zbl 1433.68470
Shtern, Alon; Sela, Matan; Kimmel, Ron
2018
Sparse approximation of 3D meshes using the spectral geometry of the Hamiltonian operator. Zbl 1435.65038
Choukroun, Yoni; Pai, Gautam; Kimmel, Ron
2018
Cracks detection using iterative phase congruency. Zbl 1437.94015
Deng, Xiaojuan; Zuo, Feifei; Li, Hongwei
2018
Topological fidelity and image thresholding: a persistent homology approach. Zbl 1433.68510
Chung, Yu-Min; Day, Sarah
2018
Symmetric Gauss-Seidel technique-based alternating direction methods of multipliers for transform invariant low-rank textures problem. Zbl 1433.68512
Ding, Yanyun; Xiao, Yunhai
2018
Variational methods for normal integration. Zbl 1420.94019
Quéau, Yvain; Durou, Jean-Denis; Aujol, Jean-François
2018
Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010
De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T.
2017
Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016
Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas
2017
Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015
Hintermüller, Michael; Rautenberg, Carlos N.
2017
Image labeling by assignment. Zbl 1460.62101
Åström, Freddie; Petra, Stefania; Schmitzer, Bernhard; Schnörr, Christoph
2017
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
2017
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Zbl 1369.94019
Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna
2017
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2017
Acceleration of the PDHGM on partially strongly convex functions. Zbl 1382.90080
Valkonen, Tuomo; Pock, Thomas
2017
Image denoising using directional adaptive variable exponents model. Zbl 1384.94009
Tiirola, Juha
2017
A transportation $$L^p$$ distance for signal analysis. Zbl 1391.94415
Thorpe, Matthew; Park, Serim; Kolouri, Soheil; Rohde, Gustavo K.; Slepčev, Dejan
2017
Nonlocal PDEs on graphs: from tug-of-war games to unified interpolation on images and point clouds. Zbl 1402.94017
Elmoataz, Abderrahim; Lozes, François; Toutain, Matthieu
2017
Automated parameter selection for total variation minimization in image restoration. Zbl 1369.94030
Langer, Andreas
2017
Dual block-coordinate forward-backward algorithm with application to deconvolution and deinterlacing of video sequences. Zbl 1382.94004
Abboud, Feriel; Chouzenoux, Emilie; Pesquet, Jean-Christophe; Chenot, Jean-Hugues; Laborelli, Louis
2017
Bijective digitized rigid motions on subsets of the plane. Zbl 1420.68227
Pluta, Kacper; Romon, Pascal; Kenmochi, Yukiko; Passat, Nicolas
2017
Efficiently storing well-composed polyhedral complexes computed over 3D binary images. Zbl 1419.68198
Gonzalez-Diaz, Rocio; Jimenez, Maria-Jose; Medrano, Belen
2017
Variational contrast enhancement of gray-scale and RGB images. Zbl 1425.68443
Pierre, Fabien; Aujol, Jean-François; Bugeau, Aurélie; Steidl, Gabriele; Ta, Vinh-Thong
2017
Tracking of lines in spherical images via sub-Riemannian geodesics in $$\mathrm{SO}(3)$$. Zbl 1387.68222
Mashtakov, A.; Duits, R.; Sachkov, Yu.; Bekkers, E. J.; Beschastnyi, I.
2017
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#### Cited by 4,735 Authors

 38 Steidl, Gabriele 29 Han, Sang-Eon 29 Huang, Ting-Zhu 28 Tai, Xuecheng 26 Schönlieb, Carola-Bibiane 24 Chen, Ke 24 Zeng, Tie Yong 22 Burger, Martin 22 Duits, Remco 21 Chambolle, Antonin 21 Osher, Stanley Joel 21 Peyré, Gabriel 19 Boţ, Radu Ioan 19 Shen, Lixin 18 Boxer, Laurence 18 Scherzer, Otmar 18 Valkonen, Tuomo 17 Citti, Giovanna 17 Najman, Laurent 17 Passat, Nicolas 17 Weickert, Joachim 16 Aujol, Jean-François 16 Han, Deren 16 Lv, Xiaoguang 16 Ng, Michael Kwok-Po 16 Pock, Thomas 16 Schnörr, Christoph 16 Zhao, Xile 15 Bloch, Isabelle 15 Bredies, Kristian 15 Chan, Raymond Hon-Fu 15 Jung, Miyoun 15 Weinmann, Andreas 14 Kang, Myungjoo 14 Ronse, Christian 14 Sarti, Alessandro 14 Shehu, Yekini 14 Yuan, Xiaoming 13 Bruveris, Martins 13 Cremers, Daniel 13 Csetnek, Ernö Robert 13 Dong, Qiaoli 13 Dong, Yiqiu 13 Hintermüller, Michael 13 Lachaud, Jacques-Olivier 13 Mazo, Loïc 13 Wu, Chunlin 13 Zhang, Xiaoqun 12 Bauer, Martin 12 Lindeberg, Tony 12 Pang, Zhifeng 12 Storath, Martin 11 Breuß, Michael 11 Caselles Costa, Vicent 11 Chan, Tony Fan-Cheong 11 Feng, Xiangchu 11 Gilboa, Guy 11 Karaca, Ismet 11 Kenmochi, Yukiko 11 Lu, Jian 11 Morel, Jean-Michel 11 Nikolova, Mila 11 Papadakis, Nicolas 11 Tran Dinh Quoc 11 Trouvé, Alain 11 Xu, Yuesheng 10 Bertozzi, Andrea Louise 10 Bonettini, Silvia 10 Cai, Xingju 10 Desolneux, Agnès 10 Duan, Yuping 10 Kang, Myeongmin 10 Lee, Chang-Ock 10 Lou, Yifei 10 Mirebeau, Jean-Marie 10 Qi, Liqun 10 Shen, Zuowei 10 Sussner, Peter 10 Welk, Martin 9 Attouch, Hedy 9 Coeurjolly, David 9 Lellmann, Jan 9 Li, Fang 9 Liu, Jun 9 Lui, Lok Ming 9 Quéau, Yvain 9 Rumpf, Martin 9 Talbot, Hugues 9 Unser, Michael A. 9 Wang, Si 9 Wei, Guowei 9 Wu, Boying 9 Zhang, Wenxing 8 Bae, Egil 8 Bartels, Sören 8 Bergounioux, Maïtine 8 Chernov, Nikolai Ivanovich 8 Cholamjiak, Prasit 8 Ciesielski, Krzysztof Chris 8 Cousty, Jean ...and 4,635 more Authors
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#### Cited in 431 Journals

 443 Journal of Mathematical Imaging and Vision 174 SIAM Journal on Imaging Sciences 98 Journal of Scientific Computing 88 Inverse Problems 71 Pattern Recognition 70 International Journal of Computer Vision 64 Inverse Problems and Imaging 50 Journal of Computational and Applied Mathematics 48 SIAM Journal on Optimization 48 Mathematical Problems in Engineering 47 Computers & Mathematics with Applications 46 Applied Mathematics and Computation 45 Information Sciences 45 Computational Optimization and Applications 43 Applied and Computational Harmonic Analysis 39 Journal of Optimization Theory and Applications 35 SIAM Journal on Scientific Computing 32 Numerical Algorithms 29 Advances in Applied Clifford Algebras 28 Multidimensional Systems and Signal Processing 28 Advances in Computational Mathematics 23 Applied Mathematical Modelling 21 International Journal of Computer Mathematics 21 Linear Algebra and its Applications 20 Journal of Computational Physics 20 Numerische Mathematik 19 Mathematical Programming. Series A. Series B 19 International Journal of Wavelets, Multiresolution and Information Processing 18 Journal of Mathematical Analysis and Applications 18 Optimization 18 Computational and Applied Mathematics 17 Mathematical Methods in the Applied Sciences 17 Electronic Journal of Statistics 16 Discrete Applied Mathematics 16 Mathematics of Computation 16 Applied Numerical Mathematics 15 Neural Computation 14 Theoretical Computer Science 14 Acta Applicandae Mathematicae 13 Applied Mathematics and Optimization 13 Optimization Methods & Software 13 Applied General Topology 12 The Annals of Statistics 12 Fuzzy Sets and Systems 12 SIAM Journal on Numerical Analysis 12 Abstract and Applied Analysis 12 Journal of Machine Learning Research (JMLR) 12 Inverse Problems in Science and Engineering 12 Optimization Letters 12 Set-Valued and Variational Analysis 11 Foundations of Computational Mathematics 11 Journal of the Operations Research Society of China 10 Journal of the Franklin Institute 10 Journal of Global Optimization 10 Journal of Inverse and Ill-Posed Problems 10 Journal of Inequalities and Applications 10 Computational & Mathematical Methods in Medicine 10 Mathematical Morphology. Theory and Applications 9 Quarterly of Applied Mathematics 9 Circuits, Systems, and Signal Processing 9 SIAM Journal on Mathematical Analysis 9 Journal of Nonlinear Science 8 Calcolo 8 Journal of Multivariate Analysis 8 International Journal of Approximate Reasoning 8 Mathematical and Computer Modelling 8 Computational Statistics and Data Analysis 8 Calculus of Variations and Partial Differential Equations 8 The Journal of Fourier Analysis and Applications 8 Fixed Point Theory and Applications 8 Journal of Fixed Point Theory and Applications 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Computing 7 Numerical Functional Analysis and Optimization 7 Discrete & Computational Geometry 7 SIAM Journal on Matrix Analysis and Applications 7 SIAM Journal on Applied Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 The Annals of Applied Statistics 7 Journal of Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Automatica 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Neural Networks 6 European Journal of Applied Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 ETNA. Electronic Transactions on Numerical Analysis 6 Bernoulli 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Nonlinear Analysis. Real World Applications 6 Journal of Applied Mathematics 6 Multiscale Modeling & Simulation 6 Journal of Industrial and Management Optimization 6 EURASIP Journal on Advances in Signal Processing 6 Science China. Mathematics 6 East Asian Journal on Applied Mathematics 6 Actes des Rencontres du C.I.R.M. 5 Proceedings of the American Mathematical Society 5 Topology and its Applications 5 Signal Processing ...and 331 more Journals
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#### Cited in 61 Fields

 1,165 Computer science (68-XX) 1,143 Information and communication theory, circuits (94-XX) 1,111 Numerical analysis (65-XX) 592 Operations research, mathematical programming (90-XX) 475 Calculus of variations and optimal control; optimization (49-XX) 333 Statistics (62-XX) 278 Partial differential equations (35-XX) 231 Biology and other natural sciences (92-XX) 196 Operator theory (47-XX) 145 Differential geometry (53-XX) 112 Harmonic analysis on Euclidean spaces (42-XX) 105 Linear and multilinear algebra; matrix theory (15-XX) 100 Probability theory and stochastic processes (60-XX) 88 Global analysis, analysis on manifolds (58-XX) 55 General topology (54-XX) 49 Systems theory; control (93-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Combinatorics (05-XX) 43 Algebraic topology (55-XX) 42 Convex and discrete geometry (52-XX) 38 Mechanics of deformable solids (74-XX) 35 Real functions (26-XX) 35 Functional analysis (46-XX) 31 Ordinary differential equations (34-XX) 31 Integral transforms, operational calculus (44-XX) 30 Fluid mechanics (76-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Functions of a complex variable (30-XX) 25 Approximations and expansions (41-XX) 24 Geometry (51-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 22 Manifolds and cell complexes (57-XX) 21 Mechanics of particles and systems (70-XX) 21 Optics, electromagnetic theory (78-XX) 20 Mathematical logic and foundations (03-XX) 18 Topological groups, Lie groups (22-XX) 15 Measure and integration (28-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Special functions (33-XX) 12 Integral equations (45-XX) 12 Geophysics (86-XX) 10 Algebraic geometry (14-XX) 10 Quantum theory (81-XX) 8 Abstract harmonic analysis (43-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 6 Difference and functional equations (39-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Mathematics education (97-XX)