Dario Prandi

I am a CNRS researcher in control theory and biomimetic image processing.

Publications

• A neural model for V1 that incorporates dendritic nonlinearities and back-propagating action potentials

  Ilias Rentzeperis, Dario Prandi, and Marcelo Bertalmío

• Neural field equations with time-periodic external inputs and some applications to visual processing

  Maria Virginia Bolelli and Dario Prandi

• Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex

  Adel Malik Annabi, Dario Prandi, Jean-Baptiste Pomet, and Ludovic Sacchelli

• Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation

  Jean-Paul Gauthier and Dario Prandi

• A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition

  Dario Prandi and Jean-Paul Gauthier

  SpringerBriefs in Mathematics. Springer International Publishing. -- 2018

• Reproducibility via neural fields of visual illusions induced by localized stimuli

  Cyprien Tamekue, Dario Prandi, and Yacine Chitour

  Discrete and Continuous Dynamical Systems - B (2024)

• On the mathematical replication of the MacKay effect from redundant stimulation

  Cyprien Tamekue, Dario Prandi, and Yacine Chitour

  SIAM Journal on Applied Dynamical Systems (2024)

• Weyl's law for singular Riemannian manifolds

  Yacine Chitour, Dario Prandi, and Luca Rizzi

  Journal des Mathématiques Pures et Appliquées (2024)

• Beyond ℓ₁ sparse coding in V1

  Ilias Rentzeperis, Luca Calatroni, Laurent Perrinet, Dario Prandi

  PLOS Computational Biology (2023)

• Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

  Biagio Cassano, Valentina Franceschi, David Krejcirik, Dario Prandi

  Communications in Partial Differential Equations (2023)

• Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation

  Paolo Mason, Yacine Chitour, and Dario Prandi

  SIAM Journal on Control and Optimization (SICON, 2021)

• A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions

  Emre Baspinar, Luca Calatroni, Valentina Franceschi, Dario Prandi

  Journal of Imaging (2021)

• A bio-inspired geometric model for sound reconstruction

  Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco

  Journal of Mathematical Neurosciences (2021)

• Point interactions for 3D sub-Laplacians

  Riccardo Adami, Ugo Boscain, Valentina Franceschi, and Dario Prandi

  Annales de l'Institut Henri Poincaré C, Analyse non linéaire (2020)

• Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling

  Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, and Dario Prandi

  Journal of Mathematical Imaging and Vision (2020)

• Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle

  Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, Alexander Gomez-Villa, and Dario Prandi

  Journal of Neurophysiology (2020)

• Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group

  Valentina Franceschi and Dario Prandi

  The Journal of Geometric Analysis (2020)

• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

  Davide Barilari, Yacine Chitour, Frédéric Jean, Dario Prandi, and Mario Sigalotti

  Journal de Mathématiques Pures et Appliquées (2020)

• A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and Dirichlet spectral gap of hypoelliptic operators

  Dario Prandi, Luca Rizzi, and Marcello Seri

  Journal of Differential Geometry (2019)

• On the essential self-adjointness of sub-Laplacians

  Valentina Franceschi, Dario Prandi, and Luca Rizzi

  Potential Analysis (2019)

• Quantum confinement on non-complete Riemannian manifolds

  Dario Prandi, Luca Rizzi, and Marcello Seri

  Journal of Spectral Theory (2018)

• Highly corrupted image inpainting through hypoelliptic diffusion

  Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, and Alexey Remizov

  Journal of Mathematical Imaging and Vision (2018)

• Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition

  Amine Bohi, Dario Prandi, Vincente Guis, Frédéric Bouchara, and Jean-Paul Gauthier

  Journal of Mathematical Imaging and Vision (2016)

• Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds

  Ugo Boscain, Dario Prandi, and Marcello Seri

  Communications in Partial Differential Equations (2016)

• Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces

  Ugo Boscain and Dario Prandi

  Journal of Differential Equations (2016)

• Complexity of Control-Affine Motion Planning

  Frédéric Jean and Dario Prandi

  SIAM Journal on Control and Optimization (2015)

• Hölder equivalence of the value function for control-affine systems

  Dario Prandi

  ESAIM: Control, Optimization and Calculus of Variations (2014)

• Cortical origins of MacKay-type visual illusions. A case for the non-linearity

  Cyprien Tamekue, Dario Prandi, Yacine Chitour

  21st IFAC World Congress

• Reproducing sensory induced hallucinations via neural fields

  Cyprien Tamekue, Dario Prandi, Yacine Chitour

  2022 IEEE International Conference on Image Processing (ICIP)

• An auditory cortex model for sound processing

  Rand Asswad, Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco

  Geometric Science of Information, GSI 2021

• On the decay rate for degenerate gradient flows subject to persistent excitation

  Dario Prandi, Yacine Chitour, and Paolo Mason

  20th IFAC World Congress

• A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations

  Marcelo Bertalmio, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, and Dario Prandi

  International Conference on Scale Space and Variational Methods in Computer Vision - SSVM (June 2019)

• Image inpainting via a control-theoretical model of human vision

  Ugo Boscain, Jean-Paul Gauthier, and Dario Prandi

  2018 14th IEEE International Conference on Control Automation - ICCA (June 2018)

• Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

  Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, and Alexey Remizov

  SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles -- ESAIM: ProcS (2018)

• Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points

  Valentina Franceschi, Dario Prandi, and Luca Rizzi

  Séminaire de Théorie spectrale et géométrie de Grenoble (2015-2016)

• Image processing in the semidiscrete group of rototranslations

  Dario Prandi, Ugo Boscain, and Jean-Paul Gauthier

  Geometric Science of Information - Second International Conference, GSI 2015

• Image reconstruction via non-isotropic diffusion in Dubins/Reed-Shepp-like control systems

  Ugo Boscain, Jean-Paul Gauthier, Dario Prandi, and Alexey Remizov

  53rd IEEE Conference on Decision and Control - CDC (2014)

Codes

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• Sparse coding for V1 receptive fields

  For: Beyond ℓ₁ sparse coding in V1

  By: I. Rentzeperis, L. Calatroni, L. Perrinet, D. Prandi

• Billock and Tsou effect via neural field equations

  For: Cortical origins of MacKay-type visual illusions. A case for the non-linearity

  By: C. Tamekue, D. Prandi, Y. Chitour

• Reproducing sensory induced hallucinations via neural fields

  For: Reproducing sensory induced hallucinations via neural fields

  By: C. Tamekue, D. Prandi, Y. Chitour

• Contrast enhancement via Wilson-Cowan and Local Histogram Equalization with sub-Riemannian interaction kernel

  For: A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions

  By: E. Baspinar, L. Calatroni, V. Franceschi, and D. Prandi

• Proof of concept for a bio-inspired sound processing framework

  For: A bio-inspired geometric model for sound reconstruction

  By: Boscain U., Prandi D., Sacchelli L., and Turco G.

• Contrast enhancement via Wilson-Cowan and Local Histogram Equalization

  For: Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle

  By: M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, A. Gomez-Villa, and D. Prandi

• Almost-periodic interpolation and approximation

  For: Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation

  By: J.-P. Gauthier and D. Prandi

• Computation and comparision of the bispectrum and the rotational bispectrum

  For: Image processing in the semidiscrete group of rototranslations

  By: D. Prandi, U. Boscain, and J.-P. Gauthier

• Simple Python implementation of Sheridan's Spiral Architecture

  By: D. Prandi