A cortical based model of perceptual completion in the roto-translation space G Citti, A Sarti Journal of Mathematical Imaging and Vision 24, 307-326, 2006 | 458 | 2006 |
Harnack's inequality for sum of squares of vector fields plus a potential G Citti, N Garofalo, E Lanconelli American Journal of Mathematics 115 (3), 699-734, 1993 | 167 | 1993 |
The symplectic structure of the primary visual cortex A Sarti, G Citti, J Petitot Biological Cybernetics 98 (1), 33-48, 2008 | 139 | 2008 |
Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature G Citti, E Lanconelli, A Montanari | 95 | 2002 |
Implicit function theorem in Carnot–Carathéodory spaces G Citti, M Manfredini Communications in Contemporary Mathematics 8 (05), 657-680, 2006 | 73 | 2006 |
On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance G Citti, A Pascucci, S Polidoro | 67 | 2001 |
Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian G Citti Annali di Matematica Pura ed applicata 169, 375-392, 1995 | 65 | 1995 |
Differential heterogenesis and the emergence of semiotic function A Sarti, G Citti, D Piotrowski Semiotica 2019 (230), 1-34, 2019 | 60 | 2019 |
Regularity of Non-characteristic Minimal Graphs in the Heisenberg Group ℍ 1 L Capogna, G Citti, M Manfredini Indiana University mathematics journal, 2115-2160, 2009 | 60 | 2009 |
Neuromathematics of vision G Citti, A Sarti Springer, 2014 | 54 | 2014 |
regularity of solutions of a quasilinear equation related to the Levi operator G Citti Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 23 (3), 483-529, 1996 | 52 | 1996 |
Sub-Riemannian mean curvature flow for image processing G Citti, B Franceschiello, G Sanguinetti, A Sarti SIAM Journal on Imaging Sciences 9 (1), 212-237, 2016 | 51 | 2016 |
The constitution of visual perceptual units in the functional architecture of V1 A Sarti, G Citti Journal of computational neuroscience 38 (2), 285-300, 2015 | 48 | 2015 |
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group G Citti, M Manfredini, A Pinamonti, F Serra Cassano Calculus of Variations and Partial Differential Equations 49 (3), 1279-1308, 2014 | 47 | 2014 |
Neuronal Oscillations in the Visual Cortex: -Convergence to the Riemannian Mumford--Shah Functional G Citti, M Manfredini, A Sarti SIAM journal on mathematical analysis 35 (6), 1394-1419, 2004 | 47 | 2004 |
A cortical-inspired geometry for contour perception and motion integration D Barbieri, G Citti, G Cocci, A Sarti Journal of mathematical imaging and vision 49, 511-529, 2014 | 46 | 2014 |
A model of natural image edge co-occurrence in the rototranslation group G Sanguinetti, G Citti, A Sarti Journal of vision 10 (14), 37-37, 2010 | 45 | 2010 |
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1 L Capogna, G Citti, M Manfredini Walter de Gruyter GmbH & Co. KG 2010 (648), 75-110, 2010 | 45 | 2010 |
Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group B Franceschiello, A Mashtakov, G Citti, A Sarti Differential Geometry and its Applications 65, 55-77, 2019 | 41 | 2019 |
Regularity properties of viscosity solutions of a non-Hörmander degenerate equation G Citti, A Pascucci, S Polidoro Journal de mathématiques pures et appliquées 80 (9), 901-918, 2001 | 40 | 2001 |