## 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: 1,291 Publications (since 1992) References Indexed: 1,078 Publications with 41,848 References.
all top 5

### Latest Issues

 64, No. 5 (2022) 64, No. 4 (2022) 64, No. 3 (2022) 64, No. 2 (2022) 64, No. 1 (2022) 63, No. 9 (2021) 63, No. 8 (2021) 63, No. 7 (2021) 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) ...and 91 more Volumes
all top 5

### Authors

 17 Schnörr, Christoph 15 Dougherty, Edward R. 14 Najman, Laurent 13 Steidl, Gabriele 12 Florack, Luc M. J. 12 Pock, Thomas 12 Weickert, Joachim 11 Aujol, Jean-François 11 Bertrand, Gilles 11 Couprie, Michel 11 Duits, Remco 11 Morel, Jean-Michel 11 Nielsen, Mads 10 Bayro-Corrochano, Eduardo 10 Hintermüller, Michael 10 Lindeberg, Tony 10 ter Haar Romeny, Bart M. 9 Cohen, Laurent D. 9 Kimmel, Ron 9 Lauze, François 9 Nikolova, Mila 9 Ronse, Christian 8 Boxer, Laurence 8 Chambolle, Antonin 8 Kuijper, Arjan 8 Lachaud, Jacques-Olivier 8 Passat, Nicolas 7 Aubert, Gilles 7 Barrera, Junior 7 Cousty, Jean 7 Kahl, Fredrik 7 Mazo, Loïc 7 Scherzer, Otmar 7 Viergever, Max A. 7 Welk, Martin 6 Bartoli, Adrien 6 Bruckstein, Alfred Marcel 6 Burger, Martin 6 Caselles Costa, Vicent 6 Ciesielski, Krzysztof Chris 6 Citti, Giovanna 6 Coeurjolly, David 6 Delon, Julie 6 Desolneux, Agnès 6 Durou, Jean-Denis 6 Heijmans, Henk J. A. M. 6 Kenmochi, Yukiko 6 Pesquet, Jean-Christophe 6 Petrou, Maria 6 Pinoli, Jean-Charles 6 Quéau, Yvain 6 Sarti, Alessandro 6 Sochen, Nir 6 Sommer, Gerald 6 Tai, Xuecheng 6 Talbot, Hugues 6 Vese, Luminita A. 6 Žunić, Joviša D. 5 Almansa, Andrés 5 Åström, Kalle 5 Bhowmick, Partha 5 Boutry, Nicolas 5 Breuß, Michael 5 Chojnacki, Wojciech 5 Debayle, Johan 5 Deledalle, Charles-Alban 5 Géraud, Thierry 5 Gilboa, Guy 5 Grigoryan, Artyom M. 5 Morigi, Serena 5 Peyré, Gabriel 5 Rieck, Michael Q. 5 Schönlieb, Carola-Bibiane 5 Soatto, Stefano 5 Sur, Frédéric 5 Wang, Xiangyang 4 Astola, Jaakko T. 4 Batard, Thomas 4 Bekkers, Erik J. 4 Bertozzi, Andrea Louise 4 Bouthemy, Patrick 4 Brooks, Michael J. 4 Ceko, Matthew 4 Chan, Tony Fan-Cheong 4 Cremers, Daniel 4 Darbon, Jerome 4 Elmoataz, Abderrahim 4 Fadili, Jalal M. 4 Gousseau, Yann 4 Graña, Manuel 4 Groisser, David 4 Ladjal, Saïd 4 Lanza, Alessandro 4 Lellmann, Jan 4 Lorenz, Dirk Alfred 4 Miranda, Paulo André Vechiatto 4 Mirebeau, Jean-Marie 4 Moisan, Lionel 4 Olsson, Carl-Olof 4 Oskarsson, Magnus ...and 2,116 more Authors
all top 5

### Fields

 954 Computer science (68-XX) 664 Information and communication theory, circuits (94-XX) 158 Numerical analysis (65-XX) 95 Statistics (62-XX) 90 Biology and other natural sciences (92-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 62 Operations research, mathematical programming (90-XX) 43 Partial differential equations (35-XX) 38 Differential geometry (53-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 17 Geometry (51-XX) 17 Convex and discrete geometry (52-XX) 16 General and overarching topics; collections (00-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Probability theory and stochastic processes (60-XX) 15 Systems theory; control (93-XX) 14 Combinatorics (05-XX) 12 Algebraic topology (55-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 8 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 General topology (54-XX) 6 Abstract harmonic analysis (43-XX) 5 Number theory (11-XX) 5 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mathematical logic and foundations (03-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 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

786 Publications have been cited 5,892 times in 3,916 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
An inertial forward-backward algorithm for monotone inclusions. Zbl 1327.47063
Lorenz, Dirk A.; Pock, Thomas
2015
A fast spectral method for active 3D shape reconstruction. Zbl 1366.94056
Li, Jia; Hero, Alfred O.
2004
A variational approach to remove outliers and impulse noise. Zbl 1366.94065
Nikolova, Mila
2004
A classical construction for the digital fundamental group. Zbl 0946.68151
Boxer, Laurence
1999
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
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
iPiasco: inertial proximal algorithm for strongly convex optimization. Zbl 1327.90219
Ochs, Peter; Brox, Thomas; Pock, Thomas
2015
Properties of digital homotopy. Zbl 1383.68090
Boxer, Laurence
2005
Grey-scale morphology based on fuzzy logic. Zbl 0994.68168
Deng, Ting-Quan; Heijmans, Henk J. A. M.
2002
Variational optic flow computation with a spatio-temporal smoothness constraint. Zbl 0988.68821
Weickert, Joachim; Schnörr, Christoph
2001
A variational model to remove the multiplicative noise in ultrasound images. Zbl 1255.68240
Jin, Zhengmeng; Yang, Xiaoping
2011
Some first-order algorithms for total variation based image restoration. Zbl 1287.94012
Aujol, Jean-François
2009
Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space. Zbl 1255.68250
Lindeberg, Tony
2011
A sparse multiscale algorithm for dense optimal transport. Zbl 1351.49037
Schmitzer, Bernhard
2016
Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements. Zbl 1478.94072
Pennec, Xavier
2006
Relations between regularization and diffusion filtering. Zbl 0945.68183
Scherzer, Otmar; Weickert, Joachim
2000
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
On advances in statistical modeling of natural images. Zbl 1033.68133
Srivastava, A.; Lee, A. B.; Simoncelli, E. P.; Zhu, S.-C.
2003
Adaptive fractional-order multi-scale method for image denoising. Zbl 1255.68278
Zhang, Jun; Wei, Zhihui; Xiao, Liang
2012
The two-dimensional Clifford-Fourier transform. Zbl 1122.42016
Brackx, Fred; De Schepper, Nele; Sommen, Frank
2006
Linear scale-space has first been proposed in Japan. Zbl 1002.68177
Weickert, Joachim; Ishikawa, Seiji; Imiya, Atsushi
1999
Matrix recipes for hard thresholding methods. Zbl 1311.90141
Kyrillidis, Anastasios; Cevher, Volkan
2014
Deep neural networks motivated by partial differential equations. Zbl 1434.68522
2020
Edge detection by Helmholtz principle. Zbl 0988.68819
Desolneux, Agnès; Moisan, Lionel; Morel, Jean-Michel
2001
Sliced and Radon Wasserstein barycenters of measures. Zbl 1332.94014
Bonneel, Nicolas; Rabin, Julien; Peyré, Gabriel; Pfister, Hanspeter
2015
Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010
De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T.
2017
Image denoising and decomposition with total variation minimization and oscillatory functions. Zbl 1366.94072
Vese, Luminita A.; Osher, Stanley J.
2004
Multiplicative calculus in biomedical image analysis. Zbl 1255.92014
Florack, Luc; Van Assen, Hans
2012
Preconditioned Douglas-Rachford algorithms for TV- and TGV-regularized variational imaging problems. Zbl 1343.94003
Bredies, Kristian; Sun, Hong Peng
2015
Regularizing flows for constrained matrix-valued images. Zbl 1366.94049
Chefd’hotel, C.; Tschumperlé, D.; Deriche, R.; Faugeras, O.
2004
Image restoration with discrete constrained total variation. I: Fast and exact optimization. Zbl 1478.94026
Darbon, Jérôme; Sigelle, Marc
2006
Intrinsic polynomials for regression on Riemannian manifolds. Zbl 1310.53038
Hinkle, Jacob; Fletcher, P. Thomas; Joshi, Sarang
2014
Convergence analysis for a primal-dual monotone + skew splitting algorithm with applications to total variation minimization. Zbl 1302.65142
2014
Preserving topology by a digitization process. Zbl 0895.68138
Latecki, Longin Jan; Conrad, Christopher; Gross, Ari
1998
A cortical based model of perceptual completion in the roto-translation space. Zbl 1478.92100
Citti, G.; Sarti, A.
2006
Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y.
2014
Nonnegative diffusion orientation distribution function. Zbl 1276.94004
Qi, Liqun; Yu, Gaohang; Xu, Yi
2013
Optimal algorithm for shape from shading and path planning. Zbl 0995.68101
Kimmel, Ron; Sethian, James A.
2001
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
Connectivity on complete lattices. Zbl 0914.06002
Serra, Jean
1998
Total cyclic variation and generalizations. Zbl 1298.94011
Cremers, Daniel; Strekalovskiy, Evgeny
2013
On the convergence of primal-dual hybrid gradient algorithms for total variation image restoration. Zbl 1255.68210
Bonettini, Silvia; Ruggiero, Valeria
2012
Poisson noise reduction with non-local PCA. Zbl 1365.94050
Salmon, Joseph; Harmany, Zachary; Deledalle, Charles-Alban; Willett, Rebecca
2014
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
2014
Convolution products for hypercomplex Fourier transforms. Zbl 1292.42007
Bujack, Roxana; De Bie, Hendrik; De Schepper, Nele; Scheuermann, Gerik
2014
Some topological properties of surfaces in $$Z^3$$. Zbl 0942.68132
Bertrand, Gilles; Malgouyres, Rémy
1999
An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066
Hintermüller, Michael; Ring, Wolfgang
2004
Two enhanced fourth order diffusion models for image denoising. Zbl 1255.68235
Guidotti, Patrick; Longo, Kate
2011
Convex image denoising via non-convex regularization with parameter selection. Zbl 1391.94088
Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella
2016
A partial splitting augmented Lagrangian method for low patch-rank image decomposition. Zbl 1332.68270
Han, Deren; Kong, Weiwei; Zhang, Wenxing
2015
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
A multi-orientation analysis approach to retinal vessel tracking. Zbl 1291.92075
Bekkers, Erik; Duits, Remco; Berendschot, Tos; ter Haar Romeny, Bart
2014
Landmark matching via large deformation diffeomorphisms on the sphere. Zbl 1366.94052
Glaunès, Joan; Vaillant, Marc; Miller, Michael I.
2004
Segmentation with depth but without detecting junctions. Zbl 1033.68132
Esedoglu, Selim; March, Riccardo
2003
Image and video colorization using vector-valued reproducing kernel Hilbert spaces. Zbl 1392.94042
Quang, Minh Ha; Kang, Sung Ha; Le, Triet M.
2010
Image matching using generalized scale-space interest points. Zbl 1357.94023
Lindeberg, Tony
2015
Constrained and SNR-based solutions for TV-Hilbert space image denoising. Zbl 1287.94010
Aujol, Jean-François; Gilboa, Guy
2006
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
Morphological and linear scale spaces for fiber enhancement in DW-MRI. Zbl 1303.92049
Duits, Remco; Haije, Tom Dela; Creusen, Eric; Ghosh, Arpan
2013
Retinex by higher order total variation $$L^1$$ decomposition. Zbl 1400.94025
Liang, Jingwei; Zhang, Xiaoqun
2015
Dimensional properties of graphs and digital spaces. Zbl 1191.05088
Evako, Alexander V.; Kopperman, Ralph; Mukhin, Yurii V.
1996
Image sharpening by flows based on triple well potentials. Zbl 1366.94051
Gilboa, Guy; Sochen, Nir; Zeevi, Yehoshua Y.
2004
Geodesic shooting for computational anatomy. Zbl 1478.92084
Miller, Michael I.; Trouvé, Alain; Younes, Laurent
2006
Sparse non-negative stencils for anisotropic diffusion. Zbl 1365.68451
Fehrenbach, Jérôme; Mirebeau, Jean-Marie
2014
Multigrid convergence of calculated features in image analysis. Zbl 0969.68167
Klette, Reinhard; Žunić, Joviša
2000
Motor algebra of 3D kinematics: The case of the hand-eye calibration. Zbl 0969.68645
Bayro-Corrochano, Eduardo; Daniilidis, Kostas; Sommer, Gerald
2000
Tube methods for BV regularization. Zbl 1101.68927
Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar
2003
A theoretical tour of connectivity in image processing and analysis. Zbl 1040.68130
Braga-Neto, Ulisses; Goutsias, John
2003
Image sequence interpolation using optimal control. Zbl 1255.68220
Chen, Kanglin; Lorenz, Dirk A.
2011
Color image analysis by quaternion-type moments. Zbl 1331.68266
Chen, Beijing; Shu, Huazhong; Coatrieux, Gouenou; Chen, Gang; Sun, Xingming; Coatrieux, Jean Louis
2015
Image labeling by assignment. Zbl 1460.62101
Åström, Freddie; Petra, Stefania; Schmitzer, Bernhard; Schnörr, Christoph
2017
Properties of Gauss digitized shapes and digital surface integration. Zbl 1338.65060
Lachaud, Jacques-Olivier; Thibert, Boris
2016
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
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
Variational restoration and edge detection for color images. Zbl 1020.68079
Brook, Alexander; Kimmel, Ron; Sochen, Nir A.
2003
Inf-semilattice approach to self-dual morphology. Zbl 1020.68093
Heijmans, Henk J. A. M.; Keshet, Renato
2002
Proximal algorithms for multicomponent image recovery problems. Zbl 1255.68213
Briceño-Arias, L. M.; Combettes, P. L.; Pesquet, J.-C.; Pustelnik, N.
2011
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
Homotopy equivalence in finite digital images. Zbl 1343.68270
Haarmann, Jason; Murphy, Meg P.; Peters, Casey S.; Staecker, P. Christopher
2015
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
A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
2016
Discretization in Hausdorff space. Zbl 0952.68150
Ronse, Christian; Tajine, Mohamed
2000
Digitally continuous multivalued functions, morphological operations and thinning algorithms. Zbl 1255.68231
Escribano, Carmen; Giraldo, Antonio; Sastre, María Asunción
2012
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
2016
Convex relaxation of a class of vertex penalizing functionals. Zbl 1293.49063
Bredies, Kristian; Pock, Thomas; Wirth, Benedikt
2013
Multi-class transductive learning based on $$\ell^1$$ relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230
Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur
2014
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
Rationalising the renormalisation method of Kanatani. Zbl 0990.68175
Chojnacki, Wojciech; Brooks, Michael J.; van den Hengel, Anton
2001
Diffusions and confusions in signal and image processing. Zbl 0994.94011
Sochen, N.; Kimmel, R.; Bruckstein, A. M.
2001
Soft morphological filtering. Zbl 0939.68911
Kuosmanen, Pauli; Astola, Jaakko
1995
Local discriminant bases and their applications. Zbl 0863.94004
Saito, Naoki; Coifman, Ronald R.
1995
The monogenic scale-space: a unifying approach to phase-based image processing in scale-space. Zbl 1478.94037
Felsberg, M.; Sommer, G.
2004
On using functions to describe the shape. Zbl 1020.68081
Kindratenko, Volodymyr V.
2003
Non-local methods with shape-adaptive patches (NLM-SAP). Zbl 1255.68227
Deledalle, Charles-Alban; Duval, Vincent; Salmon, Joseph
2012
Scale-covariant and scale-invariant Gaussian derivative networks. Zbl 07510341
Lindeberg, Tony
2022
Hough transform for detecting space curves in digital 3D models. Zbl 07510344
Romanengo, Chiara; Biasotti, Silvia; Falcidieno, Bianca
2022
Bilevel parameter learning for nonlocal image denoising models. Zbl 07363971
D&rsquo;Elia, M.; De Los Reyes, J. C.; Miniguano-Trujillo, A.
2021
Image reconstruction by minimizing curvatures on image surface. Zbl 07358825
Zhong, Qiuxiang; Yin, Ke; Duan, Yuping
2021
Learning adaptive regularization for image labeling using geometric assignment. Zbl 07358835
Hühnerbein, Ruben; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph
2021
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling. Zbl 07358838
Bertalmío, Marcelo; Calatroni, Luca; Franceschi, Valentina; Franceschiello, Benedetta; Prandi, Dario
2021
From Riemannian trichromacy to quantum color opponency via hyperbolicity. Zbl 07363967
Berthier, Michel; Provenzi, Edoardo
2021
Radon cumulative distribution transform subspace modeling for image classification. Zbl 07433020
Shifat-E-Rabbi, Mohammad; Yin, Xuwang; Rubaiyat, Abu Hasnat Mohammad; Li, Shiying; Kolouri, Soheil; Aldroubi, Akram; Nichols, Jonathan M.; Rohde, Gustavo K.
2021
An elastica-driven digital curve evolution model for image segmentation. Zbl 07358823
Antunes, Daniel; Lachaud, Jacques-Olivier; Talbot, Hugues
2021
PDE evolutions for M-smoothers in one, two, and three dimensions. Zbl 07358834
Welk, Martin; Weickert, Joachim
2021
Image morphing in deep feature spaces: theory and applications. Zbl 07358840
Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin
2021
Boundary ghosts for discrete tomography. Zbl 1490.68273
Ceko, Matthew; Petersen, Timothy; Svalbe, Imants; Tijdeman, Rob
2021
A quotient space formulation for generative statistical analysis of graphical data. Zbl 07363970
Guo, Xiaoyang; Srivastava, Anuj; Sarkar, Sudeep
2021
On inversion-free mapping and distortion minimization. Zbl 07432757
Naitsat, Alexander; Naitzat, Gregory; Zeevi, Yehoshua Y.
2021
Elastic shape analysis of planar objects using tensor field representations. Zbl 07433021
Zhang, Ruiyi; Srivastava, Anuj
2021
Deep neural networks motivated by partial differential equations. Zbl 1434.68522
2020
Variational networks: an optimal control approach to early stopping variational methods for image restoration. Zbl 1434.68626
Effland, Alexander; Kobler, Erich; Kunisch, Karl; 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
Crouzeix-Raviart approximation of the total variation on simplicial meshes. Zbl 1486.49062
Chambolle, Antonin; Pock, Thomas
2020
A characterization of proximity operators. Zbl 07255773
Gribonval, Rémi; Nikolova, Mila
2020
A two-stage method for spectral-spatial classification of hyperspectral images. Zbl 1483.68282
Chan, Raymond H.; Kan, Kelvin K.; Nikolova, Mila; Plemmons, Robert J.
2020
Accelerated variational PDEs for efficient solution of regularized inversion problems. Zbl 1440.65124
Benyamin, Minas; Calder, Jeff; Sundaramoorthi, Ganesh; Yezzi, Anthony
2020
Forward stability of ResNet and its variants. Zbl 1434.68528
Zhang, Linan; Schaeffer, Hayden
2020
Provably scale-covariant continuous hierarchical networks based on scale-normalized differential expressions coupled in cascade. Zbl 1435.68291
Lindeberg, Tony
2020
Sparse reconstruction of log-conductivity in current density impedance tomography. Zbl 1437.35704
Gupta, Madhu; Mishra, Rohit Kumar; Roy, Souvik
2020
Networks for nonlinear diffusion problems in imaging. Zbl 1434.68496
Arridge, S.; Hauptmann, A.
2020
Geodesic analysis in Kendall’s shape space with epidemiological applications. Zbl 1437.53012
Nava-Yazdani, Esfandiar; Hege, Hans-Christian; Sullivan, T. J.; von Tycowicz, Christoph
2020
Efficiently testing digital convexity and recognizing digital convex polygons. Zbl 1482.68249
Crombez, Loïc; da Fonseca, Guilherme D.; Gerard, Yan
2020
Unsupervised assignment flow: label learning on feature manifolds by spatially regularized geometric assignment. Zbl 1483.68453
Zern, Artjom; Zisler, Matthias; Petra, Stefania; Schnörr, Christoph
2020
Residual networks as flows of diffeomorphisms. Zbl 1434.68521
Rousseau, François; Drumetz, Lucas; Fablet, Ronan
2020
A convex variational model for learning convolutional image atoms from incomplete data. Zbl 1434.68625
Chambolle, A.; Holler, M.; Pock, T.
2020
Shape analysis of surfaces using general elastic metrics. Zbl 07289203
Su, Zhe; Bauer, Martin; Preston, Stephen C.; Laga, Hamid; Klassen, Eric
2020
New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets. Zbl 1455.94005
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo
2020
Learning stable nonlinear cross-diffusion models for image restoration. Zbl 1439.65025
Barbeiro, Sílvia; Lobo, Diogo
2020
Adversarial noise attacks of deep learning architectures: stability analysis via sparse-modeled signals. Zbl 1434.68520
2020
Nonlocal elastica model for sparse reconstruction. Zbl 1455.94040
Yan, Mengyuan; Duan, Yuping
2020
New set of non-separable orthogonal invariant moments for image recognition. Zbl 1434.68540
Hjouji, Amal; EL-Mekkaoui, Jaouad; Jourhmane, Mostafa; Bouikhalene, Belaid
2020
Optimum cuts in graphs by general fuzzy connectedness with local band constraints. Zbl 1482.68261
de Moraes Braz, Caio; Miranda, Paulo A. V.; Ciesielski, Krzysztof Chris; Cappabianco, Fábio A. M.
2020
Local turn-boundedness: a curvature control for continuous curves with application to digitization. Zbl 1482.68254
Le Quentrec, Étienne; Mazo, Loïc; Baudrier, Étienne; Tajine, Mohamed
2020
Two polynomial time graph labeling algorithms optimizing max-norm-based objective functions. Zbl 1482.68180
Malmberg, Filip; Ciesielski, Krzysztof Chris
2020
New insights on the optimality conditions of the $$\ell_2-\ell_0$$ minimization problem. Zbl 1486.90158
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles
2020
Tensor factorization with total variation and Tikhonov regularization for low-rank tensor completion in imaging data. Zbl 1486.90157
Lin, Xue-Lei; Ng, Michael K.; Zhao, Xi-Le
2020
A proximal interior point algorithm with applications to image processing. Zbl 1486.90209
Chouzenoux, Emilie; Corbineau, Marie-Caroline; Pesquet, Jean-Christophe
2020
Single image blind deblurring based on salient edge-structures and elastic-net regularization. Zbl 07289200
Yu, XiaoYuan; Xie, Wei
2020
2D geometric moment invariants from the point of view of the classical invariant theory. Zbl 07289201
Bedratyuk, Leonid
2020
On the generalized essential matrix correction: an efficient solution to the problem and its applications. Zbl 07289204
Miraldo, Pedro; Cardoso, João R.
2020
Variational models for color image correction inspired by visual perception and neuroscience. Zbl 07289208
Batard, Thomas; Hertrich, Johannes; Steidl, Gabriele
2020
Geometric interpretation of the multi-solution phenomenon in the P3P problem. Zbl 07289210
Wang, Bo; Hu, Hao; Zhang, Caixia
2020
Non-blind and blind deconvolution under Poisson noise using fractional-order total variation. Zbl 07289212
Chowdhury, Mujibur Rahman; Qin, Jing; Lou, Yifei
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
A convex geodesic selective model for image segmentation. Zbl 1448.94031
Roberts, Michael; Chen, Ke; Irion, Klaus L.
2019
An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration. Zbl 1487.94034
Zeng, Chao; Jia, Rui; Wu, Chunlin
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
Chan-Vese reformulation for selective image segmentation. Zbl 1468.68275
Roberts, Michael; Spencer, Jack
2019
Geometric preservation of 2D digital objects under rigid motions. Zbl 1431.52023
Ngo, Phuc; Passat, Nicolas; Kenmochi, Yukiko; Debled-Rennesson, Isabelle
2019
Multiplicative noise removal based on the smooth diffusion equation. Zbl 1446.94013
Shan, Xiujie; Sun, Jiebao; Guo, Zhichang
2019
Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media. Zbl 1455.94020
Haltmeier, Markus; Nguyen, Linh V.
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
Currents and finite elements as tools for shape space. Zbl 1468.65018
Benn, James; Marsland, Stephen; McLachlan, Robert I.; Modin, Klas; Verdier, Olivier
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
A discrete framework to find the optimal matching between manifold-valued curves. Zbl 1485.58013
Le Brigant, Alice
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
Repairing 3D binary images using the FCC grid. Zbl 1482.68242
Čomić, Lidija; Magillo, Paola
2019
Soft color morphology: a fuzzy approach for multivariate images. Zbl 1430.94009
Bibiloni, Pedro; González-Hidalgo, Manuel; Massanet, Sebastia
2019
Multi-scale arithmetization of linear transformations. Zbl 1444.03189
Mazo, Loïc
2019
A new hybrid form of Krawtchouk and Tchebichef polynomials: design and application. Zbl 1443.33029
Abdulhussain, Sadiq H.; Ramli, Abd Rahman; Mahmmod, Basheera M.; Saripan, M. Iqbal; Al-Haddad, S. A. R.; Jassim, Wissam A.
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
Denoising of image gradients and total generalized variation denoising. Zbl 1487.94023
Komander, Birgit; Lorenz, Dirk A.; Vestweber, Lena
2019
Fractal descriptors of texture images based on the triangular prism dimension. Zbl 1445.68197
Florindo, João Batista; Bruno, Odemir Martinez
2019
Discrepancy: local/global shape characterization with a roundness bias. Zbl 1487.94021
Genctav, Asli; Tari, Sibel
2019
Acyclic partial matchings for multidimensional persistence: algorithm and combinatorial interpretation. Zbl 1431.55007
Allili, Madjid; Kaczynski, Tomasz; Landi, Claudia; Masoni, Filippo
2019
A $$Q$$-convexity vector descriptor for image analysis. Zbl 1430.94006
Balázs, P.; Brunetti, S.
2019
Combinatorics of the Gauss digitization under translation in 2D. Zbl 1431.52021
Baudrier, Étienne; Mazo, Loïc
2019
Equiareal shape-from-template. Zbl 07073921
Casillas-Perez, David; Pizarro, Daniel; Fuentes-Jimenez, David; Mazo, Manuel; Bartoli, Adrien
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
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
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
Robust model selection in 2D parametric motion estimation. Zbl 1446.68158
Bouthemy, Patrick; Toledo Acosta, Bertha Mayela; Delyon, Bernard
2019
Representation of surfaces with normal cycles and application to surface registration. Zbl 1468.68270
Roussillon, Pierre; Glaunès, Joan Alexis
2019
On visual periodicity estimation using singular value decomposition. Zbl 1468.68253
Kamel, Nidal; Kajo, Ibrahim; Ruichek, Yassine
2019
On the taut string interpretation and other properties of the Rudin-Osher-Fatemi model in one dimension. Zbl 1479.94071
Overgaard, Niels Chr
2019
A novel total generalized variation model for image dehazing. Zbl 1479.49071
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
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
A novel diffeomorphic model for image registration and its algorithm. Zbl 1435.94052
Zhang, Daoping; Chen, Ke
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
Nonlocal myriad filters for Cauchy noise removal. Zbl 1435.94030
Laus, Friederike; Pierre, Fabien; Steidl, Gabriele
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
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
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
Fast-marching methods for curvature penalized shortest paths. Zbl 1435.65041
Mirebeau, Jean-Marie
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
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
...and 686 more Documents
all top 5

### Cited by 5,648 Authors

 44 Steidl, Gabriele 35 Tai, Xuecheng 33 Han, Sang-Eon 33 Schönlieb, Carola-Bibiane 31 Huang, Ting-Zhu 30 Zeng, Tie Yong 28 Chen, Ke 27 Osher, Stanley Joel 25 Duits, Remco 25 Weickert, Joachim 24 Boxer, Laurence 24 Chambolle, Antonin 23 Burger, Martin 23 Schnörr, Christoph 22 Scherzer, Otmar 21 Najman, Laurent 21 Ng, Michael Kwok-Po 21 Peyré, Gabriel 21 Shehu, Yekini 20 Pock, Thomas 20 Shen, Lixin 19 Boţ, Radu Ioan 19 Lv, Xiaoguang 19 Valkonen, Tuomo 18 Bloch, Isabelle 18 Citti, Giovanna 18 Han, Deren 18 Passat, Nicolas 17 Aujol, Jean-François 17 Hintermüller, Michael 17 Lachaud, Jacques-Olivier 17 Zhao, Xile 16 Bauer, Martin 16 Bredies, Kristian 16 Chan, Raymond Hon-Fu 16 Ronse, Christian 16 Wu, Chunlin 16 Yuan, Xiaoming 15 Cremers, Daniel 15 Dong, Qiaoli 15 Dong, Yiqiu 15 Duan, Yuping 15 Jung, Miyoun 15 Laghrib, Amine 15 Lindeberg, Tony 15 Pang, Zhifeng 15 Sarti, Alessandro 15 Weinmann, Andreas 14 Bruveris, Martins 14 Guo, Zhichang 14 Kang, Myungjoo 14 Li, Wuchen 14 Mazo, Loïc 14 Wu, Boying 14 Zhang, Xiaoqun 13 Cai, Xingju 13 Caselles Costa, Vicent 13 Csetnek, Ernö Robert 13 Desolneux, Agnès 13 Gilboa, Guy 13 Karaca, Ismet 13 Kenmochi, Yukiko 13 Li, Fang 13 Mirebeau, Jean-Marie 13 Tran Dinh Quoc 12 Breuß, Michael 12 Chan, Tony Fan-Cheong 12 Feng, Xiangchu 12 Lellmann, Jan 12 Lou, Yifei 12 Lu, Jian 12 Morel, Jean-Michel 12 Nikolova, Mila 12 Papadakis, Nicolas 12 Qi, Liqun 12 Storath, Martin 12 Trouvé, Alain 12 Welk, Martin 11 Bertrand, Gilles 11 Cousty, Jean 11 Lui, Lok Ming 11 Pennec, Xavier 11 Rumpf, Martin 11 Talbot, Hugues 11 Xu, Yuesheng 10 Bertozzi, Andrea Louise 10 Bonettini, Silvia 10 Boutry, Nicolas 10 Chernov, Nikolai Ivanovich 10 Couprie, Michel 10 Elmoataz, Abderrahim 10 Kang, Myeongmin 10 Lanza, Alessandro 10 Lee, Chang-Ock 10 Liu, Jun 10 Morigi, Serena 10 Munk, Axel 10 Quéau, Yvain 10 Shen, Zuowei 10 Sussner, Peter ...and 5,548 more Authors
all top 5

### Cited in 491 Journals

 557 Journal of Mathematical Imaging and Vision 215 SIAM Journal on Imaging Sciences 128 International Journal of Computer Vision 112 Journal of Scientific Computing 93 Inverse Problems 77 Inverse Problems and Imaging 71 Pattern Recognition 60 Applied Mathematics and Computation 60 SIAM Journal on Optimization 53 Computers & Mathematics with Applications 53 Journal of Computational and Applied Mathematics 50 Computational Optimization and Applications 49 Applied and Computational Harmonic Analysis 48 Information Sciences 48 Mathematical Problems in Engineering 45 SIAM Journal on Scientific Computing 43 Journal of Optimization Theory and Applications 35 Numerical Algorithms 34 International Journal of Computer Mathematics 31 Multidimensional Systems and Signal Processing 31 Advances in Applied Clifford Algebras 29 Advances in Computational Mathematics 28 Journal of Computational Physics 26 Mathematical Programming. Series A. Series B 26 Computational and Applied Mathematics 25 Applied Mathematical Modelling 23 Numerische Mathematik 22 Linear Algebra and its Applications 22 Journal of Inequalities and Applications 21 Optimization 20 Applied Numerical Mathematics 19 International Journal of Wavelets, Multiresolution and Information Processing 19 Electronic Journal of Statistics 18 Journal of Mathematical Analysis and Applications 17 Mathematical Methods in the Applied Sciences 17 The Annals of Statistics 17 Applied Mathematics and Optimization 17 SIAM Journal on Mathematics of Data Science 16 Discrete Applied Mathematics 16 Mathematics of Computation 16 Foundations of Computational Mathematics 15 Theoretical Computer Science 15 Optimization Methods & Software 14 Acta Applicandae Mathematicae 14 Neural Computation 14 Journal of Machine Learning Research (JMLR) 14 Optimization Letters 14 Set-Valued and Variational Analysis 13 Journal of Multivariate Analysis 13 SIAM Journal on Numerical Analysis 13 Inverse Problems in Science and Engineering 13 Applied General Topology 13 Journal of the Operations Research Society of China 13 Mathematical Morphology. Theory and Applications 12 Journal of the Franklin Institute 12 Fuzzy Sets and Systems 12 Journal of Inverse and Ill-Posed Problems 12 Abstract and Applied Analysis 11 Journal of Global Optimization 11 Computational Statistics and Data Analysis 10 Computer Methods in Applied Mechanics and Engineering 10 Numerical Functional Analysis and Optimization 10 Discrete & Computational Geometry 10 Journal of Nonlinear Science 10 Nonlinear Analysis. Real World Applications 10 Computational & Mathematical Methods in Medicine 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Automatica 9 Quarterly of Applied Mathematics 9 Circuits, Systems, and Signal Processing 9 International Journal of Approximate Reasoning 9 SIAM Journal on Mathematical Analysis 9 The Journal of Fourier Analysis and Applications 9 Analysis and Applications (Singapore) 9 Journal of Industrial and Management Optimization 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 The Annals of Applied Statistics 8 Calcolo 8 Mathematical and Computer Modelling 8 SIAM Journal on Matrix Analysis and Applications 8 European Journal of Applied Mathematics 8 Calculus of Variations and Partial Differential Equations 8 ETNA. Electronic Transactions on Numerical Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Optimization and Engineering 8 Fixed Point Theory and Applications 8 Journal of Fixed Point Theory and Applications 8 East Asian Journal on Applied Mathematics 7 Computing 7 SIAM Journal on Applied Mathematics 7 Multiscale Modeling & Simulation 7 Journal of Computational and Graphical Statistics 7 Journal of Mathematics 6 Applicable Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Topology and its Applications 6 Neural Networks 6 Differential Geometry and its Applications 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Statistical Computation and Simulation ...and 391 more Journals
all top 5

### Cited in 62 Fields

 1,510 Computer science (68-XX) 1,377 Information and communication theory, circuits (94-XX) 1,366 Numerical analysis (65-XX) 733 Operations research, mathematical programming (90-XX) 596 Calculus of variations and optimal control; optimization (49-XX) 434 Statistics (62-XX) 365 Partial differential equations (35-XX) 277 Biology and other natural sciences (92-XX) 259 Operator theory (47-XX) 171 Differential geometry (53-XX) 125 Linear and multilinear algebra; matrix theory (15-XX) 125 Harmonic analysis on Euclidean spaces (42-XX) 119 Probability theory and stochastic processes (60-XX) 98 Global analysis, analysis on manifolds (58-XX) 75 General topology (54-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Systems theory; control (93-XX) 60 Algebraic topology (55-XX) 53 Combinatorics (05-XX) 53 Convex and discrete geometry (52-XX) 51 Mechanics of deformable solids (74-XX) 46 Real functions (26-XX) 44 Fluid mechanics (76-XX) 43 Functional analysis (46-XX) 37 Ordinary differential equations (34-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Integral transforms, operational calculus (44-XX) 33 Optics, electromagnetic theory (78-XX) 30 Order, lattices, ordered algebraic structures (06-XX) 30 Functions of a complex variable (30-XX) 27 Approximations and expansions (41-XX) 27 Manifolds and cell complexes (57-XX) 26 Geometry (51-XX) 25 Mathematical logic and foundations (03-XX) 25 Mechanics of particles and systems (70-XX) 21 Topological groups, Lie groups (22-XX) 20 Measure and integration (28-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Algebraic geometry (14-XX) 16 Geophysics (86-XX) 14 Integral equations (45-XX) 12 General and overarching topics; collections (00-XX) 12 Special functions (33-XX) 12 Quantum theory (81-XX) 9 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Commutative algebra (13-XX) 6 Nonassociative rings and algebras (17-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Difference and functional equations (39-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 4 Field theory and polynomials (12-XX) 3 History and biography (01-XX) 3 Relativity and gravitational theory (83-XX) 3 Mathematics education (97-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 Sequences, series, summability (40-XX)