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
460 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
169 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
96 2002 Implicit function theorem in Carnot–Carathéodory spaces G Citti, M Manfredini
Communications in Contemporary Mathematics 8 (05), 657-680, 2006
76 2006 On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance G Citti, A Pascucci, S Polidoro
68 2001 Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian G Citti
Annali di Matematica Pura ed applicata 169, 375-392, 1995
66 1995 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
61 2009 Differential heterogenesis and the emergence of semiotic function A Sarti, G Citti, D Piotrowski
Semiotica 2019 (230), 1-34, 2019
60 2019 Neuromathematics of vision G Citti, A Sarti
Springer, 2014
54 2014 regularity of solutions of a quasilinear equation related to the Levi operatorG 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 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
50 2014 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
49 2015 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 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
46 2010 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 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