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Author ID: sarti.alessandro Recent zbMATH articles by "Sarti, Alessandro"
Published as: Sarti, Alessandro; Sarti, A.

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 381 times in 204 Documents Cited by Year
A cortical based model of perceptual completion in the roto-translation space. Zbl 1478.92100
Citti, G.; Sarti, A.
90
2006
A cortical based model of perceptual completion in the roto-translation space. Zbl 1088.92008
Sarti, Alessandro; Citti, Giovanna
54
2004
The symplectic structure of the primary visual cortex. Zbl 1148.92012
Sarti, Alessandro; Citti, Giovanna; Petitot, Jean
32
2008
Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
22
2000
Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
18
2002
Sub-Riemannian mean curvature flow for image processing. Zbl 1352.68272
Citti, G.; Franceschiello, B.; Sanguinetti, G.; Sarti, A.
18
2016
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
17
2006
A cortical-inspired geometry for contour perception and motion integration. Zbl 1291.92074
Barbieri, Davide; Citti, Giovanna; Cocci, Giacomo; Sarti, Alessandro
15
2014
Neuronal oscillations in the visual cortex: \(\Gamma\)-convergence to the Riemannian Mumford-Shah functional. Zbl 1058.49010
Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro
14
2004
The constitution of visual perceptual units in the functional architecture of V1. Zbl 1410.92028
Sarti, Alessandro; Citti, Giovanna
13
2015
Neuromathematics of vision. Zbl 1287.53001
12
2014
Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group. Zbl 1418.53038
Franceschiello, B.; Mashtakov, A.; Citti, G.; Sarti, A.
11
2019
Subjective surfaces and Riemannian mean curvature flow of graphs. Zbl 0995.65100
Sarti, A.; Citti, G.
10
2001
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
9
2010
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
7
2008
Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation. Zbl 1511.65104
Mikula, Karol; Sarti, Alessandro; Sgallari, Fiorella
6
2006
Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering. Zbl 1338.92056
Favali, Marta; Abbasi-Sureshjani, Samaneh; ter Haar Romeny, Bart; Sarti, Alessandro
6
2016
A geometric model of multi-scale orientation preference maps via Gabor functions. Zbl 1437.94006
Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro
6
2018
Cortical spatiotemporal dimensionality reduction for visual grouping. Zbl 1414.92084
Cocci, Giacomo; Barbieri, Davide; Citti, Giovanna; Sarti, Alessandro
5
2015
Binding and segmentation of multiple objects through neural oscillators inhibited by contour information. Zbl 1105.91314
Ursino, Mauro; La Cara, Giuseppe-Emiliano; Sarti, Alessandro
4
2003
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
4
2010
Finite difference approximation of the Mumford and Shah functional in a contact manifold of the Heisenberg space. Zbl 1198.49043
Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro
4
2010
Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao
3
2015
A gauge field model of modal completion. Zbl 1317.94021
Citti, Giovanna; Sarti, Alessandro
3
2015
Models of the visual cortex in Lie groups. Zbl 1332.53044
Citti, Giovanna; Sarti, Alessandro
3
2015
A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019
Baspinar, E.; Sarti, A.; Citti, G.
3
2020
A neuromathematical model for geometrical optical illusions. Zbl 1397.92110
Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna
3
2018
Local and global gestalt laws: a neurally based spectral approach. Zbl 1414.91315
Favali, Marta; Citti, Giovanna; Sarti, Alessandro
3
2017
Curvature integration in a 5D kernel for extracting vessel connections in retinal images. Zbl 1409.94004
Abbasi-Sureshjani, Samaneh; Favali, Marta; Citti, Giovanna; Sarti, Alessandro; ter Haar Romeny, Bart M.
3
2018
A metric model for the functional architecture of the visual cortex. Zbl 1439.30091
Montobbio, Noemi; Sarti, Alessandro; Citti, Giovanna
2
2020
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
2
2014
Differential heterogenesis. Mutant forms, sensitive bodies. Zbl 1508.53007
Sarti, Alessandro; Citti, Giovanna; Piotrowski, David
1
2022
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1
1998
From receptive profiles to a metric model of V1. Zbl 1416.92015
Montobbio, Noemi; Citti, Giovanna; Sarti, Alessandro
1
2019
Differential heterogenesis. Mutant forms, sensitive bodies. Zbl 1508.53007
Sarti, Alessandro; Citti, Giovanna; Piotrowski, David
1
2022
A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019
Baspinar, E.; Sarti, A.; Citti, G.
3
2020
A metric model for the functional architecture of the visual cortex. Zbl 1439.30091
Montobbio, Noemi; Sarti, Alessandro; Citti, Giovanna
2
2020
Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group. Zbl 1418.53038
Franceschiello, B.; Mashtakov, A.; Citti, G.; Sarti, A.
11
2019
From receptive profiles to a metric model of V1. Zbl 1416.92015
Montobbio, Noemi; Citti, Giovanna; Sarti, Alessandro
1
2019
A geometric model of multi-scale orientation preference maps via Gabor functions. Zbl 1437.94006
Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro
6
2018
A neuromathematical model for geometrical optical illusions. Zbl 1397.92110
Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna
3
2018
Curvature integration in a 5D kernel for extracting vessel connections in retinal images. Zbl 1409.94004
Abbasi-Sureshjani, Samaneh; Favali, Marta; Citti, Giovanna; Sarti, Alessandro; ter Haar Romeny, Bart M.
3
2018
Local and global gestalt laws: a neurally based spectral approach. Zbl 1414.91315
Favali, Marta; Citti, Giovanna; Sarti, Alessandro
3
2017
Sub-Riemannian mean curvature flow for image processing. Zbl 1352.68272
Citti, G.; Franceschiello, B.; Sanguinetti, G.; Sarti, A.
18
2016
Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering. Zbl 1338.92056
Favali, 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 1410.92028
Sarti, Alessandro; Citti, Giovanna
13
2015
Cortical spatiotemporal dimensionality reduction for visual grouping. Zbl 1414.92084
Cocci, Giacomo; Barbieri, Davide; Citti, Giovanna; Sarti, Alessandro
5
2015
Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao
3
2015
A gauge field model of modal completion. Zbl 1317.94021
Citti, Giovanna; Sarti, Alessandro
3
2015
Models of the visual cortex in Lie groups. Zbl 1332.53044
Citti, Giovanna; Sarti, Alessandro
3
2015
A cortical-inspired geometry for contour perception and motion integration. Zbl 1291.92074
Barbieri, Davide; Citti, Giovanna; Cocci, Giacomo; Sarti, Alessandro
15
2014
Neuromathematics of vision. Zbl 1287.53001
12
2014
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
2
2014
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
9
2010
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
4
2010
Finite difference approximation of the Mumford and Shah functional in a contact manifold of the Heisenberg space. Zbl 1198.49043
Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro
4
2010
The symplectic structure of the primary visual cortex. Zbl 1148.92012
Sarti, Alessandro; Citti, Giovanna; Petitot, Jean
32
2008
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
7
2008
A cortical based model of perceptual completion in the roto-translation space. Zbl 1478.92100
Citti, G.; Sarti, A.
90
2006
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
17
2006
Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation. Zbl 1511.65104
Mikula, Karol; Sarti, Alessandro; Sgallari, Fiorella
6
2006
A cortical based model of perceptual completion in the roto-translation space. Zbl 1088.92008
Sarti, Alessandro; Citti, Giovanna
54
2004
Neuronal oscillations in the visual cortex: \(\Gamma\)-convergence to the Riemannian Mumford-Shah functional. Zbl 1058.49010
Citti, Giovanna; Manfredini, Maria; Sarti, Alessandro
14
2004
Binding and segmentation of multiple objects through neural oscillators inhibited by contour information. Zbl 1105.91314
Ursino, Mauro; La Cara, Giuseppe-Emiliano; Sarti, Alessandro
4
2003
Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
18
2002
Subjective surfaces and Riemannian mean curvature flow of graphs. Zbl 0995.65100
Sarti, A.; Citti, G.
10
2001
Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
22
2000
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1
1998
all top 5

Cited by 273 Authors

32 Citti, Giovanna
25 Sarti, Alessandro
24 Duits, Remco
16 Mikula, Karol
11 Sachkov, Yuriĭ Leonidovich
10 Mashtakov, Alexey P.
9 Bekkers, Erik J.
9 Boscain, Ugo
6 Barbieri, Davide Francesco
6 Karmanova, Mariya Borisovna
6 Prandi, Dario
6 Smets, Bart M. N.
5 Frolkovič, Peter
5 Giovannardi, Gianmarco
5 Manfredini, Maria
5 Uguzzoni, Francesco
5 Wei, Guowei
4 Bonfiglioli, Andrea
4 Franceschiello, Benedetta
4 Gauthier, Jean-Paul A.
4 Handlovičová, Angela
4 Peyriéras, Nadine
4 Pinamonti, Andrea
4 Rossi, Francesco
4 Sacchelli, Ludovic
3 Baspinar, Emre
3 Capogna, Luca
3 Chen, Zhan
3 Danielli, Donatella
3 Demirkol, Ridvan Cem
3 Franken, Erik
3 Garofalo, Nicola
3 Ghosh, Arpan
3 Korpinar, Talat
3 Lanconelli, Ermanno
3 Masnou, Simon
3 Pai, Gautam P.
3 Petitot, Jean
3 Pock, Thomas
3 Portegies, Jorg M.
3 Remešiková, Mariana
3 Ritoré, Manuel
3 Sanguinetti, G. R.
3 ter Haar Romeny, Bart M.
2 Abbasi-Sureshjani, Samaneh
2 Aizinger, Vadym
2 Ardentov, Andrei A.
2 Baker, Nathan A.
2 Bellaard, Gijs
2 Beschastnyi, Ivan Yu.
2 Bungert, Leon
2 Chambolle, Antonin
2 Chertovskih, Roman A.
2 Cocci, Giacomo
2 Dayrens, François
2 Don, Sebastiano
2 Favali, Marta
2 Franchi, Bruno
2 Galeotti, Mattia
2 Galli, Matteo
2 Grande, Raffaele Del
2 Haije, Tom Dela
2 Janssen, Michiel H. J.
2 Li, Wanzhen
2 Liu, Haiming
2 Mazzetti, Caterina
2 Mirebeau, Jean-Marie
2 Monteiro, Luiz Henrique Alves
2 Montobbio, Noemi
2 Nhieu, Duy-Minh
2 Nyström, Kaj
2 Olunna Uba, Markjoe
2 Palatucci, Giampiero
2 Piccinini, Mirco
2 Polidoro, Sergio
2 Portegies, Jim
2 Remizov, Alexey O.
2 Ruzhansky, Michael V.
2 Serapioni, Raul Paolo
2 Serra Cassano, Francesco
2 Sgallari, Fiorella
2 Smíšek, Michal
2 Špir, Róbert
2 Tryamkin, Maksim Vladimirovich
2 Turco, Giuseppina
2 Urbán, Jozef
2 Ursino, Mauro
2 Vodop’yanov, Sergeĭ Konstantinovich
2 Wirth, Benedikt
2 Zucker, Steven Warren
1 Agrachev, Andreĭ Aleksandrovich
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Ambroz, Martin
1 Antonelli, Gioacchino
1 Arfaoui, Sabrine
1 Asswad, Rand
1 Balan, Vladimir
1 Balazovjech, Martin
1 Ballester, Coloma
1 Balogh, Zoltán M.
...and 173 more Authors
all top 5

Cited in 83 Serials

31 Journal of Mathematical Imaging and Vision
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Advances in Mathematics
5 Kybernetika
5 Siberian Mathematical Journal
5 The Journal of Mathematical Neuroscience
4 Journal of Differential Equations
4 Applied Numerical Mathematics
4 Differential Geometry and its Applications
4 The Journal of Geometric Analysis
4 Calculus of Variations and Partial Differential Equations
4 Computing and Visualization in Science
4 SIAM Journal on Imaging Sciences
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Neural Computation
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Computational Neuroscience
3 Discrete and Continuous Dynamical Systems. Series S
2 Biological Cybernetics
2 Journal of Computational Physics
2 Journal of Mathematical Biology
2 Mathematische Annalen
2 Quarterly of Applied Mathematics
2 Neural Networks
2 Japan Journal of Industrial and Applied Mathematics
2 Applications of Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Regular and Chaotic Dynamics
2 Communications in Contemporary Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Proceedings of the Steklov Institute of Mathematics
2 Analysis and Geometry in Metric Spaces
1 Applicable Analysis
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Journal of Functional Analysis
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 Asymptotic Analysis
1 Signal Processing
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 Potential Analysis
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 International Journal of Computer Vision
1 Filomat
1 Sbornik: Mathematics
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Honam Mathematical Journal
1 Journal of Dynamical and Control Systems
1 Journal of Modern Optics
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
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 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in Calculus of Variations
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 37 Fields

83 Differential geometry (53-XX)
67 Partial differential equations (35-XX)
62 Biology and other natural sciences (92-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
37 Information and communication theory, circuits (94-XX)
34 Numerical analysis (65-XX)
31 Computer science (68-XX)
17 Topological groups, Lie groups (22-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Abstract harmonic analysis (43-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Mechanics of deformable solids (74-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Functional analysis (46-XX)
5 Operator theory (47-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Systems theory; control (93-XX)
3 Real functions (26-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 Approximations and expansions (41-XX)
2 Optics, electromagnetic theory (78-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year