Neural Field Equations with Time-Periodic External Inputs and Some Applications to Visual Processing.

Dario Prandi https://scholar.google.com/citations?user=22p8Wc4AAAAJ https://github.com/dprn https://orcid.org/0000-0002-8156-5526 https://www.wikidata.org/entity/Q104740111 https://www.wikidata.org/entity/Q102427670 https://mathgenealogy.org/id.php?id=188324

Maria Virginia Bolelli Dario Prandi Neural Field Equations with Time-Periodic External Inputs and Some Applications to Visual Processing. 47 2025 August 67 J. Math. Imaging Vis. 4 https://doi.org/10.1007/s10851-025-01257-7 db/journals/jmiv/jmiv67.html#BolelliP25 streams/journals/jmiv

Adel Malik Annabi Jean-Baptiste Pomet Dario Prandi Ludovic Sacchelli Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex. 737-767 2025 September 37 Math. Control. Signals Syst. 3 https://doi.org/10.1007/s00498-025-00416-w db/journals/mcss/mcss37.html#AnnabiPPS25 streams/journals/mcss

Adel Malik Annabi Jean-Baptiste Pomet Dario Prandi Ludovic Sacchelli Identification of saturated networked systems. 4208-4213 2025 CDC https://doi.org/10.1109/CDC57313.2025.11312953 conf/cdc/2025 db/conf/cdc/cdc2025.html#AnnabiPPS25 streams/conf/cdc

Cyprien Tamekue Dario Prandi Yacine Chitour A Mathematical Model of the Visual MacKay Effect. 2138-2178 2024 23 SIAM J. Appl. Dyn. Syst. 3 https://doi.org/10.1137/23m1616686 db/journals/siamads/siamads23.html#TamekuePC24 streams/journals/siamads

Adel Malik Annabi Ludovic Sacchelli Baptiste Pomet Dario Prandi Homogeneous observer for a low-dimensional neural fields model of cortical activity. 7758-7763 2024 CDC https://doi.org/10.1109/CDC56724.2024.10886255 conf/cdc/2024 db/conf/cdc/cdc2024.html#AnnabiSPP24

Cyprien Tamekue Dario Prandi Yacine Chitour Reproducibility via neural fields of visual illusions induced by localized stimuli. 2024 abs/2401.09108 CoRR https://doi.org/10.48550/arXiv.2401.09108 db/journals/corr/corr2401.html#abs-2401-09108

Ilias Rentzeperis Luca Calatroni Laurent U. Perrinet Dario Prandi Beyond ℓ1 sparse coding in V1. 2023 19 PLoS Comput. Biol. 9 https://doi.org/10.1371/journal.pcbi.1011459 db/journals/ploscb/ploscb19.html#RentzeperisCPP23

Cyprien Tamekue Dario Prandi Yacine Chitour On the mathematical replication of the MacKay effect from redundant stimulation. 2023 abs/2311.07338 CoRR https://doi.org/10.48550/arXiv.2311.07338 db/journals/corr/corr2311.html#abs-2311-07338

Cyprien Tamekue Dario Prandi Yacine Chitour Reproducing Sensory Induced Hallucinations via Neural Fields. 3326-3330 2022 ICIP https://doi.org/10.1109/ICIP46576.2022.9898022 conf/icip/2022 db/conf/icip/icip2022.html#TamekuePC22

Cyprien Tamekue Dario Prandi Yacine Chitour Reproducing sensory induced hallucinations via neural fields. 2022 abs/2207.03901 CoRR https://doi.org/10.48550/arXiv.2207.03901 db/journals/corr/corr2207.html#abs-2207-03901

Cyprien Tamekue Dario Prandi Yacine Chitour Cortical origins of MacKay-type visual illusions. A case for the non-linearity. 2022 abs/2212.04827 CoRR https://doi.org/10.48550/arXiv.2212.04827 db/journals/corr/corr2212.html#abs-2212-04827

Emre Baspinar Luca Calatroni Valentina Franceschi Dario Prandi A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions. 41 2021 7 J. Imaging 3 https://doi.org/10.3390/jimaging7030041 https://www.wikidata.org/entity/Q115221440 db/journals/jimaging/jimaging7.html#BaspinarCFP21

Marcelo Bertalmío Luca Calatroni Valentina Franceschi Benedetta Franceschiello Dario Prandi Cortical-Inspired Wilson-Cowan-Type Equations for Orientation-Dependent Contrast Perception Modelling. 263-281 2021 63 J. Math. Imaging Vis. 2 https://doi.org/10.1007/s10851-020-00960-x db/journals/jmiv/jmiv63.html#BertalmioCFFP21

Paolo Mason Yacine Chitour Dario Prandi Worst Exponential Decay Rate for Degenerate Gradient Flows Subject to Persistent Excitation. 3040-3067 2021 59 SIAM J. Control. Optim. 4 https://doi.org/10.1137/20M1343427 https://www.wikidata.org/entity/Q115525533 db/journals/siamco/siamco59.html#MasonCP21

Rand Asswad Ugo V. Boscain Giuseppina Turco Dario Prandi Ludovic Sacchelli An Auditory Cortex Model for Sound Processing. 56-64 2021 GSI https://doi.org/10.1007/978-3-030-80209-7_7 conf/gsi/2021 db/conf/gsi/gsi2021.html#AsswadBTPS21 Cyprien Tamekue Dario Prandi Yacine Chitour MacKay-Type Visual Illusions via Neural Fields. 501-508 2021 GSI (2) https://doi.org/10.1007/978-3-031-38299-4_52 conf/gsi/2023-2 db/conf/gsi/gsi2023-2.html#TamekuePC21

Emre Baspinar Luca Calatroni Valentina Franceschi Dario Prandi A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions. 2020 abs/2012.14184 CoRR https://arxiv.org/abs/2012.14184 db/journals/corr/corr2012.html#abs-2012-14184

Marcelo Bertalmío Luca Calatroni Valentina Franceschi Benedetta Franceschiello Dario Prandi A Cortical-Inspired Model for Orientation-Dependent Contrast Perception: A Link with Wilson-Cowan Equations. 472-484 2019 SSVM https://doi.org/10.1007/978-3-030-22368-7_37 conf/scalespace/2019 db/conf/scalespace/ssvm2019.html#BertalmioCFFP19

Marcelo Bertalmío Luca Calatroni Valentina Franceschi Benedetta Franceschiello Dario Prandi Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling. 2019 abs/1910.06808 CoRR http://arxiv.org/abs/1910.06808 db/journals/corr/corr1910.html#abs-1910-06808

Ugo V. Boscain Roman A. Chertovskih Jean-Paul Gauthier Dario Prandi Alexey Remizov Highly Corrupted Image Inpainting Through Hypoelliptic Diffusion. 1231-1245 2018 60 J. Math. Imaging Vis. 8 https://doi.org/10.1007/s10851-018-0810-4 https://www.wikidata.org/entity/Q129977275 db/journals/jmiv/jmiv60.html#BoscainCGPR18

Ugo V. Boscain Jean-Paul Gauthier Dario Prandi Image inpainting via a control-theoretical model of human vision. 963-968 2018 ICCA https://doi.org/10.1109/ICCA.2018.8444289 conf/icca/2018 db/conf/icca/icca2018.html#BoscainGP18

Ugo V. Boscain Roman A. Chertovskih Jean-Paul Gauthier Dario Prandi Alexey Remizov Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. 2018 abs/1801.03800 CoRR http://arxiv.org/abs/1801.03800 db/journals/corr/corr1801.html#abs-1801-03800

Marcelo Bertalmío Luca Calatroni Valentina Franceschi Benedetta Franceschiello Dario Prandi A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations. 2018 abs/1812.07425 CoRR http://arxiv.org/abs/1812.07425 db/journals/corr/corr1812.html#abs-1812-07425

Amine Bohi Dario Prandi Vincente Guis Frédéric Bouchara Jean-Paul Gauthier Fourier Descriptors Based on the Structure of the Human Primary Visual Cortex with Applications to Object Recognition. 117-133 2017 57 J. Math. Imaging Vis. 1 https://doi.org/10.1007/s10851-016-0669-1 db/journals/jmiv/jmiv57.html#BohiPGBG17

Dario Prandi Jean-Paul Gauthier A semidiscrete version of the Petitot model as a plausible model for anthropomorphic image reconstruction and pattern recognition. 2017 abs/1704.03069 CoRR http://arxiv.org/abs/1704.03069 db/journals/corr/corr1704.html#PrandiG17

Jean-Paul Gauthier Dario Prandi Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation. 2016 abs/1612.00056 CoRR http://arxiv.org/abs/1612.00056 db/journals/corr/corr1612.html#GauthierP16

Frédéric Jean Dario Prandi Complexity of Control-Affine Motion Planning. 816-844 2015 53 SIAM J. Control. Optim. 2 https://doi.org/10.1137/130950793 db/journals/siamco/siamco53.html#JeanP15

Dario Prandi Ugo V. Boscain Jean-Paul Gauthier Image Processing in the Semidiscrete Group of Rototranslations. 627-634 2015 GSI https://doi.org/10.1007/978-3-319-25040-3_67 conf/gsi/2015 db/conf/gsi/gsi2015.html#PrandiBG15

Dario Prandi Alexey Remizov Roman A. Chertovskih Ugo V. Boscain Jean-Paul Gauthier Highly corrupted image inpainting through hypoelliptic diffusion. 2015 abs/1502.07331 CoRR http://arxiv.org/abs/1502.07331 db/journals/corr/corr1502.html#PrandiRCBG15

Amine Bohi Dario Prandi Vincente Guis Frédéric Bouchara Jean-Paul Gauthier An application of a semidiscrete version of the Petitot model of the human primary visual cortex to invariant object recognition in SVM context. 2015 abs/1507.06617 CoRR http://arxiv.org/abs/1507.06617 db/journals/corr/corr1507.html#BohiPGBG15

Ugo V. Boscain Jean-Paul Gauthier Dario Prandi Alexey Remizov Image reconstruction via non-isotropic diffusion in Dubins/Reed-Shepp-like control systems. 4278-4283 2014 CDC https://doi.org/10.1109/CDC.2014.7040056 conf/cdc/2014 db/conf/cdc/cdc2014.html#BoscainGPR14 Adel Malik Annabi Rand Asswad Emre Baspinar Marcelo Bertalmío Amine Bohi Maria Virginia Bolelli Ugo V. Boscain Frédéric Bouchara Luca Calatroni Roman A. Chertovskih Yacine Chitour Valentina Franceschi Benedetta Franceschiello Jean-Paul Gauthier Vincente Guis Frédéric Jean Paolo Mason Laurent U. Perrinet Baptiste Pomet Jean-Baptiste Pomet Alexey Remizov Elias RentzeperisIlias Rentzeperis Ludovic Sacchelli Cyprien Tamekue Giuseppina Turco