Edit Profile (opens in new tab) Sarti, Alessandro Compute Distance To: Compute Author ID: sarti.alessandro Published as: Sarti, Alessandro; Sarti, A. Documents Indexed: 40 Publications since 1998, including 2 Books 1 Contribution as Editor Co-Authors: 34 Co-Authors with 40 Joint Publications 428 Co-Co-Authors all top 5 Co-Authors 0 single-authored 30 Citti, Giovanna 6 Mikula, Karol 4 Favali, Marta 4 Franceschiello, Benedetta 3 Barbieri, Davide Francesco 3 Montobbio, Noemi 3 Peyriéras, Nadine 2 Abbasi-Sureshjani, Samaneh 2 Baspinar, Emre 2 Bourgine, Paul 2 Cocci, Giacomo 2 Malladi, Ravi 2 Manfredini, Maria 2 Remešiková, Mariana 2 Rizzi, Barbara 2 Sanguinetti, Gonzalo 2 Sethian, James A. 2 Sgallari, Fiorella 2 ter Haar Romeny, Bart M. 1 Campana, Matteo 1 Corsaro, Stefania 1 Čunderliḱ, Róbert 1 Drblíková-Stašová, Olga 1 Galeotti, Mattia 1 Giovannardi, Gianmarco 1 Grafakos, Loukas 1 Handlovičová, Angela 1 La Cara, Giuseppe-Emiliano 1 Lamberti, Carlo 1 Mateu, Joan 1 Melani, Camilo 1 Pérez, Carlos 1 Petitot, Jean 1 Piotrowski, David 1 Ritoré, Manuel 1 Ursino, Mauro 1 Zanella, Cecilia 1 Zhong, Xiao all top 5 Serials 7 Journal of Mathematical Imaging and Vision 3 Journal of Computational Neuroscience 2 Biological Cybernetics 2 Neural Computation 2 IEEE Transactions on Image Processing 2 The Journal of Mathematical Neuroscience 2 Lecture Notes in Morphogenesis 1 Kybernetika 1 Differential Geometry and its Applications 1 Acta Mathematica Universitatis Comenianae. New Series 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 International Journal of Computer Vision 1 Computing and Visualization in Science 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Imaging Sciences 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 27 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Differential geometry (53-XX) 9 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 261 times in 152 Documents Cited by ▼ Year ▼ A cortical based model of perceptual completion in the roto-translation space. Zbl 1088.92008Sarti, Alessandro; Citti, Giovanna 55 2004 The symplectic structure of the primary visual cortex. Zbl 1148.92012Sarti, Alessandro; Citti, Giovanna; Petitot, Jean 31 2008 A cortical based model of perceptual completion in the roto-translation space. Zbl 1478.92100Citti, G.; Sarti, A. 24 2006 Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214Sarti, Alessandro; Malladi, Ravi; Sethian, James A. 20 2000 Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727Sarti, Alessandro; Malladi, Ravi; Sethian, James A. 17 2002 Sub-Riemannian mean curvature flow for image processing. Zbl 1352.68272Citti, G.; Franceschiello, B.; Sanguinetti, G.; Sarti, A. 16 2016 Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F. 14 2006 Neuronal oscillations in the visual cortex: \(\Gamma\)-convergence to the Riemannian Mumford-Shah functional. Zbl 1058.49010Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro 11 2004 A cortical-inspired geometry for contour perception and motion integration. Zbl 1291.92074Barbieri, Davide; Citti, Giovanna; Cocci, Giacomo; Sarti, Alessandro 11 2014 Neuromathematics of vision. Zbl 1287.53001 10 2014 Subjective surfaces and Riemannian mean curvature flow of graphs. Zbl 0995.65100Sarti, A.; Citti, G. 9 2001 3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A. 7 2008 Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro 7 2010 Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering. Zbl 1338.92056Favali, Marta; Abbasi-Sureshjani, Samaneh; ter Haar Romeny, Bart; Sarti, Alessandro 6 2016 Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group. Zbl 1418.53038Franceschiello, B.; Mashtakov, A.; Citti, G.; Sarti, A. 6 2019 The constitution of visual perceptual units in the functional architecture of V1. Zbl 1410.92028Sarti, Alessandro; Citti, Giovanna 6 2015 Binding and segmentation of multiple objects through neural oscillators inhibited by contour information. Zbl 1105.91314Ursino, Mauro; La Cara, Giuseppe-Emiliano; Sarti, Alessandro 4 2003 A geometric model of multi-scale orientation preference maps via Gabor functions. Zbl 1437.94006Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro 4 2018 4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro 3 2010 Finite difference approximation of the Mumford and Shah functional in a contact manifold of the Heisenberg space. Zbl 1198.49043Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro 3 2010 A neuromathematical model for geometrical optical illusions. Zbl 1397.92110Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna 3 2018 Models of the visual cortex in Lie groups. Zbl 1332.53044Citti, Giovanna; Sarti, Alessandro 2 2015 Cortical spatiotemporal dimensionality reduction for visual grouping. Zbl 1414.92084Cocci, Giacomo; Barbieri, Davide; Citti, Giovanna; Sarti, Alessandro 2 2015 Curvature integration in a 5D kernel for extracting vessel connections in retinal images. Zbl 1409.94004Abbasi-Sureshjani, Samaneh; Favali, Marta; Citti, Giovanna; Sarti, Alessandro; ter Haar Romeny, Bart M. 2 2018 How uncertainty bounds the shape index of simple cells. Zbl 1291.92021Barbieri, D.; Citti, G.; Sarti, A. 2 2014 A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019Baspinar, E.; Sarti, A.; Citti, G. 1 2020 Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao 1 2015 Local and global gestalt laws: a neurally based spectral approach. Zbl 1414.91315Favali, Marta; Citti, Giovanna; Sarti, Alessandro 1 2017 From receptive profiles to a metric model of V1. Zbl 1416.92015Montobbio, Noemi; Citti, Giovanna; Sarti, Alessandro 1 2019 Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro 1 1998 A metric model for the functional architecture of the visual cortex. Zbl 1439.30091Montobbio, Noemi; Sarti, Alessandro; Citti, Giovanna 1 2020 A gauge field model of modal completion. Zbl 1317.94021Citti, Giovanna; Sarti, Alessandro 1 2015 A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019Baspinar, E.; Sarti, A.; Citti, G. 1 2020 A metric model for the functional architecture of the visual cortex. Zbl 1439.30091Montobbio, Noemi; Sarti, Alessandro; Citti, Giovanna 1 2020 Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group. Zbl 1418.53038Franceschiello, B.; Mashtakov, A.; Citti, G.; Sarti, A. 6 2019 From receptive profiles to a metric model of V1. Zbl 1416.92015Montobbio, Noemi; Citti, Giovanna; Sarti, Alessandro 1 2019 A geometric model of multi-scale orientation preference maps via Gabor functions. Zbl 1437.94006Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro 4 2018 A neuromathematical model for geometrical optical illusions. Zbl 1397.92110Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna 3 2018 Curvature integration in a 5D kernel for extracting vessel connections in retinal images. Zbl 1409.94004Abbasi-Sureshjani, Samaneh; Favali, Marta; Citti, Giovanna; Sarti, Alessandro; ter Haar Romeny, Bart M. 2 2018 Local and global gestalt laws: a neurally based spectral approach. Zbl 1414.91315Favali, Marta; Citti, Giovanna; Sarti, Alessandro 1 2017 Sub-Riemannian mean curvature flow for image processing. Zbl 1352.68272Citti, G.; Franceschiello, B.; Sanguinetti, G.; Sarti, A. 16 2016 Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering. Zbl 1338.92056Favali, Marta; Abbasi-Sureshjani, Samaneh; ter Haar Romeny, Bart; Sarti, Alessandro 6 2016 The constitution of visual perceptual units in the functional architecture of V1. Zbl 1410.92028Sarti, Alessandro; Citti, Giovanna 6 2015 Models of the visual cortex in Lie groups. Zbl 1332.53044Citti, Giovanna; Sarti, Alessandro 2 2015 Cortical spatiotemporal dimensionality reduction for visual grouping. Zbl 1414.92084Cocci, Giacomo; Barbieri, Davide; Citti, Giovanna; Sarti, Alessandro 2 2015 Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao 1 2015 A gauge field model of modal completion. Zbl 1317.94021Citti, Giovanna; Sarti, Alessandro 1 2015 A cortical-inspired geometry for contour perception and motion integration. Zbl 1291.92074Barbieri, Davide; Citti, Giovanna; Cocci, Giacomo; Sarti, Alessandro 11 2014 Neuromathematics of vision. Zbl 1287.53001 10 2014 How uncertainty bounds the shape index of simple cells. Zbl 1291.92021Barbieri, D.; Citti, G.; Sarti, A. 2 2014 Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro 7 2010 4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro 3 2010 Finite difference approximation of the Mumford and Shah functional in a contact manifold of the Heisenberg space. Zbl 1198.49043Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro 3 2010 The symplectic structure of the primary visual cortex. Zbl 1148.92012Sarti, Alessandro; Citti, Giovanna; Petitot, Jean 31 2008 3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A. 7 2008 A cortical based model of perceptual completion in the roto-translation space. Zbl 1478.92100Citti, G.; Sarti, A. 24 2006 Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F. 14 2006 A cortical based model of perceptual completion in the roto-translation space. Zbl 1088.92008Sarti, Alessandro; Citti, Giovanna 55 2004 Neuronal oscillations in the visual cortex: \(\Gamma\)-convergence to the Riemannian Mumford-Shah functional. Zbl 1058.49010Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro 11 2004 Binding and segmentation of multiple objects through neural oscillators inhibited by contour information. Zbl 1105.91314Ursino, Mauro; La Cara, Giuseppe-Emiliano; Sarti, Alessandro 4 2003 Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727Sarti, Alessandro; Malladi, Ravi; Sethian, James A. 17 2002 Subjective surfaces and Riemannian mean curvature flow of graphs. Zbl 0995.65100Sarti, A.; Citti, G. 9 2001 Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214Sarti, Alessandro; Malladi, Ravi; Sethian, James A. 20 2000 Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 26 Citti, Giovanna 19 Sarti, Alessandro 15 Duits, Remco 13 Mikula, Karol 8 Boscain, Ugo 7 Sachkov, Yuriĭ Leonidovich 6 Karmanova, Maria B. 6 Prandi, Dario 5 Bekkers, Erik J. 5 Mashtakov, Alexey P. 5 Wei, Guowei 4 Barbieri, Davide Francesco 4 Franceschiello, Benedetta 4 Gauthier, Jean-Paul A. 4 Manfredini, Maria 4 Peyriéras, Nadine 4 Rossi, Francesco 3 Baspinar, Emre 3 Bonfiglioli, Andrea 3 Capogna, Luca 3 Chen, Zhan 3 Danielli, Donatella 3 Franken, Erik 3 Garofalo, Nicola 3 Giovannardi, Gianmarco 3 Lanconelli, Ermanno 3 Masnou, Simon 3 Petitot, Jean 3 Pinamonti, Andrea 3 Portegies, Jorg M. 3 Sacchelli, Ludovic 3 Sanguinetti, G. R. 3 Uguzzoni, Francesco 2 Abbasi-Sureshjani, Samaneh 2 Aizinger, Vadym 2 Ardentov, Andrei A. 2 Baker, Nathan A. 2 Bungert, Leon 2 Chambolle, Antonin 2 Chertovskih, Roman A. 2 Demirkol, Ridvan Cem 2 Favali, Marta 2 Franchi, Bruno 2 Frolkovič, Peter 2 Galli, Matteo 2 Grande, Raffaele Del 2 Handlovičová, Angela 2 Janssen, Michiel H. J. 2 Korpinar, Talat 2 Li, Wanzhen 2 Liu, Haiming 2 Monteiro, Luiz Henrique Alves 2 Montobbio, Noemi 2 Nhieu, Duy-Minh 2 Nyström, Kaj 2 Olunna Uba, Markjoe 2 Pock, Thomas 2 Remešiková, Mariana 2 Remizov, Alexey O. 2 Ritoré, Manuel 2 Serapioni, Raul Paolo 2 Serra Cassano, Francesco 2 Špir, Róbert 2 ter Haar Romeny, Bart M. 2 Turco, Giuseppina 2 Urbán, Jozef 2 Ursino, Mauro 2 Vodop’yanov, Sergeĭ Konstantinovich 1 Agrachev, Andreĭ Aleksandrovich 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Ambroz, Martin 1 Arfaoui, Sabrine 1 Asswad, Rand 1 Balan, Vladimir 1 Ballester, Coloma 1 Batard, Thomas 1 Bates, Peter W. 1 Ben Mabrouk, Anouar 1 Ben-Shahar, Ohad 1 Ben-Yosef, Guy 1 Beneš, Michal 1 Bertalmío, Marcelo 1 Beschastnyi, Ivan Yu. 1 Bescós, J. Oliván 1 Bohi, Amine 1 Boizot, Nicolas 1 Böttcher, Ulrich 1 Bouchara, Frédéric 1 Bourgine, Paul 1 Bressloff, Paul C. 1 Bruckstein, Alfred Marcel 1 Calatroni, Luca 1 Cao, Mingming 1 Carbotti, Alessandro 1 Carroll, Samuel R. 1 Cattani, Carlo 1 Cessac, Bruno 1 Chan, Tony Fan-Cheong 1 Charlot, Grégoire 1 Chen, Da ...and 109 more Authors all top 5 Cited in 68 Serials 24 Journal of Mathematical Imaging and Vision 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 The Journal of Mathematical Neuroscience 4 Kybernetika 4 Siberian Mathematical Journal 4 Applied Numerical Mathematics 4 The Journal of Geometric Analysis 4 Calculus of Variations and Partial Differential Equations 3 Advances in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Neural Computation 3 Computing and Visualization in Science 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 2 Biological Cybernetics 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Quarterly of Applied Mathematics 2 Neural Networks 2 Differential Geometry and its Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Computational Neuroscience 2 Regular and Chaotic Dynamics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Analysis and Geometry in Metric Spaces 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Acta Applicandae Mathematicae 1 Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Applied and Computational Harmonic Analysis 1 International Journal of Computer Vision 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Problems in Engineering 1 Honam Mathematical Journal 1 Communications in Contemporary Mathematics 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis & PDE 1 Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 32 Fields 65 Differential geometry (53-XX) 50 Biology and other natural sciences (92-XX) 45 Partial differential equations (35-XX) 29 Information and communication theory, circuits (94-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 24 Numerical analysis (65-XX) 23 Computer science (68-XX) 14 Topological groups, Lie groups (22-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Abstract harmonic analysis (43-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of deformable solids (74-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year