Alessandro Sarti

sans-titre1Directeur de Recherche CNRS à l’EHESS et associé au Collège de France / Director of Research at EHESS and joint to Collège de France

Centre d’analyse et de mathématique sociales
Ecole des hautes études en sciences sociales
54, boulevard Raspail – 75006 Paris – France
Bureau A4-24 – 4e étage

Tél.  (33-1) 49 54 22 70


Domaines de recherche / Fields of Research

  • Neuromathématiques, perception visuelle, microgenèse, théorie de la Gestalt.
    Neuromathematics, visual perception, microgenesis, Gestalt theory.

  • Modélisation mathématiques de la semiogenèse, morphogenèse du sens.
    Mathematical models of semiogenesis, morphogenesis of meaning.

  • Méthodes Level Set, équations morphologiques aux dérivés partielles.
    Level set methods, morphological partial differential equations

  • Equations aux dérivés partielles en espaces métriques Riemannien et Sub-Riemannien
    Partial differential equations in Riemannian and Sub-Riemannian metric spaces

Séminaires et cours / Seminars and courses

Publications sélectionnés / Selected publications

  • A. Sarti, G. Citti, D. Piotrowski, “Differential heterogenesis and the emergence of semiotic function, 2017, submitted, preprint.
  • A. Sarti, D. Barbieri, “Neuromorphology of meaning”, in “Quantitative and qualitative practices in contemporary semiotic research”, ed. Dario Compagno, Springer publisher 2017.
  • M. Favali, G. Citti, A. Sarti, Local and global gestalt laws: A neurally based spectral approach”, Neural Computation, Vol. 29, No. 2, Pages: 394-422, 2017.
  • M. Favali, S. Abbasi-Sureshjani, B. H. Romeny, A. Sarti, Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering”, Journal of Mathematical Imaging and Vision, 56(1): 158-172, 2016.
  • E. Faure, M. Campana, R. Cunderlik, O. Drblikova, L. Duloquin, R. Keller, B. Lombardot, C. Melani, M. Remesikova, B. Rizzi, T. Savy, G. Recher, C. Zanella, J. Kollar, D. Fabrèges, P. Villoutreix, J. Delile, P. Affaticati, B. Maury, A. Boyreau, I. Colin, S. Desnoulez, J. Nief, P. Calvat, P. Vernier, M. Frain, G. Lutfalla, P. Suret, R. Doursat, A. Sarti, K. Mikula, N. Peyriéras, P. Bourgine,“A workflow to process 3D+time microscopy images of developing organisms and reconstruct their cell lineage”Nature Methods, 7, 2016.
  • G. Citti, B. Franceschiello, G. Sanguinetti, A. Sarti, “Sub-Riemannian mean curvature flow for image processing”, SIAM Journal Imaging Science, 9(1), pag 212-237, 2016.
  • A. Sarti, G. Citti, “The constitution of perceptual units in the functional architecture of V1”, J.Comput. Neuroscience, 38(2), pag. 285-300, 2015.
  • G. Cocci, D. Barbieri, G. Citti, A. Sarti, “Cortical spatio-temporal dimensionality reduction for visual grouping”. Neural Computation 27:1252-1293, 2015.
  • A. Sarti, D. Piotrowski, “Individuation and Semiogenesis: an interplay between geometric harmonics and structural morphodynamics”, in “Individuation and Morphogenesis”, Springer Publisher, 2015.
  • G.Citti,A.Sarti,”Models of the visual Cortex in Lie groups”, in “Harmonic and Geometric Analysis”, edited by G.Citti, L.Grafakos, C.Pérez, A.Sarti, X.Zhong, Birkhauser Basel. 2015.
  • G.Citti, A.Sarti, “A Gauge Field model of modal completion”, Journal of Mathematical Imaging and Vision, Vol. 52, N.2, pag. 267-284, 2015.
  • D.Barbieri, G.Citti, A.Sarti, “How uncertainty bounds the shape index of simple cells”, The Journal of Mathematical Neuroscience, Vol. 4, N.5, 2014.
  • D.Barbieri, G. Citti, G. Cocci, A. Sarti,“A cortical-inspired geometry for contour perception and motion integration”, Journal of Mathematical Imaging and Vision49(3): 511-529, 2013.
  • F.Berardi, A.Sarti, “RUN Morphogenesis”, 2012, Documenta Kassel Publisher, 2012.
  • G.Cocci, D.Barbieri and A.Sarti, “Spatio-temporal receptive fields of cells in V1 are optimally shaped for stimulus velocity estimation”, J. Opt. Soc. Am. A, 29(1), pp.130-138, 2012.
  • D.Barbieri, G.Citti, G.Sanguinetti, A.Sarti, »An uncertainty principle underlying the functional architecture of V1″, Journal of Physiology Paris, 106(5-6), pp. 183-193, 2012.
  • A.Sarti, G.Citti, « On the origin and nature of neurogeometry », La Nuova Critica, 2011.
  • A.Sarti, G.Citti, « Field Theory in the Visual Cortex », Computer Vision from Surfaces to 3D objects, C.Tyler editor, CRC Press, 2011.
  • G.Sanguinetti, G.Citti, A.Sarti, “The statistics of contours of natural images in the affine group”, Journal of  Vision.
  • D.Barbieri, G.Citti, G.Cocci, A.Sarti, “A cortical-inspired geometry for contour perception and motion integration”, submitted to Journal of Mathematical Imaging and Vision.
  • G.Sanguinetti, G.Citti, A.Sarti, »A model of natural image edge cooccurence in the rototranslation group », Journal of Vision, 10(14):37, pp 1-16, 2010.
  • G.Citti, M.Manfredini, A.Sarti, “Finite difference approximation of the Mumford-Shah functional in a contact manifold of the Heisenberg space”, Communications on Pure and Applied Analsysis, pag. 905-927, vol. 9, n.4, 2010.
  • M. Campana, B. Maury, M. Dutreix, N. Peyrieras, A. Sarti. (2010) Methods Toward In Vivo Measurement of Zebrafish Epithelial and Deep Cell Proliferation. Elsevier-Computer Methods and Programs in Biomedicine. 2010 May;98(2):1.
  • M.Campana, A. Sarti. (2010) Cell Morphodynamics Visualization from Images of Zebrafish Embryogenesis.  Elsevier-Computerized Medical Imaging and Graphics. 2010 Jul;34(5):394-403.
  • C. Zanella, M. Campana, C. Melani , B. Rizzi, P. Bourgine , K. Mikula, N. Peyriéras, A.Sarti (2010) Cells Segmentation from 3-D+Time Confocal  Images of Early Zebrafish Embryogenesis. IEEE Transaction on Image Processing; 2010 Mar;19(3):770-781.
  • P.Bourgine, R.Cunderlik, O.Drblikova, K.Mikula, N.Peyrieras, M.Remesikova, B.Rizzi, A.Sarti, 4D embryogenesis image analysis using PDE methods of image processing, Kybernetika, Vol. 46, No. 2 (2010) pp. 226-259.
  • Z. Kriva, K.Mikula, N. Peyriéras, B. Rizzi, A. Sarti, O. Stasovai, “3D early embryogenesis image filtering by nonlinear partial differential equations”, Medical Image Analysis, Vol. 14, No. 4 (2010) pp. 510-526.
  • A.Sarti, G.Citti, J.Petitot,“Functional geometry of the horizontal connectivity in the primary visual cortex”, Journal of Physiology-Paris, Vol. 103, n. 1-2, pag. 37-45, 2009.
  • A.Sarti, G. Citti, J.Petitot, “The Symplectic Structure of the Primary Visual Cortex”, Biological Cybernetics. vol. 98, pp. 33 – 48, 2008.
  • S. Corsaro, K. Mikula, A. Sarti, F. Sgallari.  Semi-implicit co-volume method in 3D image segmentation. SIAM Journal on Scientific Computing. vol. 28, pp. 2248 – 2265, 2007.
  • P.Frolkovic, K.Mikula, N.Peyrieras, A.Sarti.  A counting number of cells and cell segmentation using advection-diffusion equations. Kybernetika. vol. 43, pp. 817 – 829, 2007.
  • O.Drblikova, M.Komornikova, M.Remesikova, P.Bourgine, K.Mikula, N.Peyrieras, A.Sarti.  Estimate of the cell number growth rate using PDE methods of image processing and time series analysis. Journal of Electrical Engineering. vol. 7/s, pp. 86 – 92,2007.
  • G.Citti, A.Sarti, “A Cortical Based Model of Perceptual Completion in the Roto-Translation Space”, Journal of Mathematical Imaging and Vision, vol.24, n.3,, pag.307-326, 2006.
  • F.Berardi, A.Sarti, “RUN: forma, vita, ricombinazione”, Mimesis Edizioni, 2006.
  • G.Citti, M.Manfredini,.A.Sarti, “Neuronal Oscillations in the Visual Cortex: Gamma-convergence to the Riemannian Mumford-Shah Functional”, SIAM Journal Mathematical Analysis,  vol. 35, n.6, pag. 1394-1419, 2004.
  • A.Sarti, G.Citti, M.Manfredini, “From Neural Oscillations to Variational Problems in the Visual Cortex”, invited paper on Journal of Physiology Paris,  vol. 97, n.2-3, pag. 379-385, 2003.
  • M.Ursino, E. LaCara, A.Sarti, “Binding and segmentation of multiple objects through neural oscillators inhibited by contour information”, Biological Cybernetics, Vol.89, n. 1, pag.56-70, 2003.
  • A. Sarti, R. Malladi, J.A. Sethian, “Subjective Surfaces: A Geometric Model for Boundary Completion”, International Journal of Computer Vision, Vol 46, n.3, pag. 201-221, 2002.
  • A.Sarti, “Subjective Surface Computation in Visual Perceptual Grouping”, in PDE and Level Sets: Algorithmic Approaches to Static and Motion Imagery, edited by J.Suri and S. Laxminarayan, Kluwer Academic, 2002.
  • J.Suri, D.Chopp, A.Sarti, S.Laxminarayan,”The future of PDEs and Level Sets”, in PDE and Level Sets: Algorithmic Approaches to Static and Motion Imagery, edited by J.Suri and S. Laxminarayan,  Kluwer Academic, 2002.
  • Sarti, G.Citti, “Subjective Surfaces and Riemannian Mean Curvature Flow of Graphs”, Acta Mathematica Universitatis Comenianae, Vol. 70, n.1, pag. 85-104, 2001.
  • A.Sarti, R. Malladi, J.A. Sethian, »Subjective Surfaces: A Method for Completing Missing Boundaries »,  Proceedings of the National Academy of Sciences of the United States of America, Vol. 12, N.97, pag. 6258-6263, 2000.
  • A.Sarti, C. Ortiz, S. Locket, R. Malladi, »A geometric model for 3D confocal image analysis », IEEE Transactions on Biomedical Engineering,Vol. 47, n.12, pag. 1600-1610, 2000.

Livres / Books

“Individuation and Morphogenesis”, ed. A. Sarti, F. Montanari, F. Galofaro eds.,  Springer Publisher, 2014.

 “Neuromathematics of Vision”, G. Citti,  A.Sarti eds., Springer Publisher 2014.

 “Harmonic and Geometric Analysis”, G.Citti, L.Grafakos, C.Pérez, A.Sarti, X.Zhong eds.,  Birkhauser Basel, 2014.


Comités Editoriaux / Editorial Board

Editor in chief of the Springer Series “Lecture Notes in Morphogenesis”,

Comité de redaction / Editorial board “Intellectica”,

Ecole doctorale / Doctoral school

Responsable de l’Equipe ‘Neuromathématiques de la Vision’ de l’Ecole Doctorale Cerveau-Cognition-Comportament (ED3C, ED n. 158), co-accréditée à l’Université Paris VI, l’ENS et l’EHESS.

Projets Européens Recents / Recent Grants and European projects

  • Marie Curie Initial Training Network ‘Metric Analysis for Emergent Technologies’ (MAnET) , 2014-2017 (avec Università di Bologna, Technische Universitat Eindowen, Universitat Bern, Universitat Autonoma de Barcelona, Helsinki Yllopisto,  Università di Trento, Université Paris Sud).

  • Responsable scientifique du Projet Erasmus entre EHESS et Université de Bologna depuis 2014.