Alessandro Sarti

• 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

• A. Sarti and A. Longo editors, « Differential heterogenesis », LaDeleuziana, n.11, 2020 (open access).
• Alessandro Sarti et Igor Pelgreffi (entretien avec -). L’hétérogènese différentielle: Formes en devenir entre mathématiques, philosophie et politique, Multitudes , n.78, pag. 154-163, 2020
• A. Sarti, G. Citti, D. Piotrowski, “Differential heterogenesis and the emergence of semiotic function”, Semiotica, Vol. 230: 1-34, 2019 – preprint hal-02123626
• 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 – preprint arXiv:1512.06566.
• 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 (open access).
• 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. (open access)
• 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 (preprint arXiv:1504.03710).
• 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.

LISTE COMPLETE DES PUBLICATIONS 1993-2014 / COMPLETE LIST OF PUBLICATIONS 1993-2014

• Neuromathématiques

• Phénoménologie et morphodynamique du signe

• Dynamiques post-structurelles