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

We consider the evolution model proposed in Bertalmío (Front Comput Neurosci 8:71, 2014), Bertalmío et al. (IEEE Trans Image Process 16(4):1058–1072, 2007) to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and differences with...

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Autores: Bertalmío, Marcelo, Calatroni, Luca, Franceschi, Valentina, Franceschiello, Benedetta, Prandi, Dario
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Institución:Universitat Pompeu Fabra
Repositorio:Repositorio Digital de la UPF
OAI Identifier:oai:repositori.upf.edu:10230/45083
Acceso en línea:http://hdl.handle.net/10230/45083
http://dx.doi.org/10.1007/s10851-020-00960-x
Access Level:acceso abierto
Palabra clave:Wilson–Cowan equations
Primary visual cortex
Orientation-dependent modelling
Contrast perception
Variational modelling
Geometrical optical illusions
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spelling Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modellingBertalmío, MarceloCalatroni, LucaFranceschi, ValentinaFranceschiello, BenedettaPrandi, DarioWilson–Cowan equationsPrimary visual cortexOrientation-dependent modellingContrast perceptionVariational modellingGeometrical optical illusionsWe consider the evolution model proposed in Bertalmío (Front Comput Neurosci 8:71, 2014), Bertalmío et al. (IEEE Trans Image Process 16(4):1058–1072, 2007) to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and differences with the widely used Wilson–Cowan equations (Wilson and Cowan in BioPhys J 12(1):1–24, 1972), mainly in terms of efficient representation properties. Then, in order to explicitly encode local directional information, we exploit the model of the primary visual cortex (V1) proposed in Citti and Sarti (J Math Imaging Vis 24(3):307–326, 2006) and largely used over the last years for several image processing problems (Duits and Franken in Q Appl Math 68(2):255–292, 2010; Prandi and Gauthier in A semidiscrete version of the Petitot model as a plausible model for anthropomorphic image reconstruction and pattern recognition. SpringerBriefs in Mathematics, Springer, Cham, 2017; Franceschiello et al. in J Math Imaging Vis 60(1):94–108, 2018). The resulting model is thus defined in the space of positions and orientation, and it is capable of describing assimilation and contrast visual bias at the same time. We report several numerical tests showing the ability of the model to reproduce, in particular, orientation-dependent phenomena such as grating induction and a modified version of the Poggendorff illusion. For this latter example, we empirically show the existence of a set of threshold parameters differentiating from inpainting to perception-type reconstructions and describing long-range connectivity between different hypercolumns in V1.The authors acknowledge the anonymous referees for their suggestions which improved significantly the quality of their manuscript. M. B. acknowledges the support of the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 761544 (Project HDR4EU) and under Grant Agreement No. 780470 (Project SAUCE), and of the Spanish government and FEDER Fund, Grant Ref. PGC2018-099651-B-I00 (MCIU/AEI/FEDER, UE). L. C., V. F. and D. P. acknowledge the support of a public grant overseen by the French National Research Agency (ANR) as part of the Investissement d’avenir program, through the iCODE project funded by the IDEX Paris-Saclay, ANR-11-IDEX-0003-02 and of the research project LiftME funded by INS2I, CNRS. V. F. acknowledges the support received from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant No. 794592 and from the INdAM project Problemi isoperimetrici in spazi Euclidei e non. V. F. and D. P. also acknowledge the support of ANR-15-CE40-0018 project SRGI - Sub-Riemannian Geometry and Interactions. B. F. acknowledges the support of the Fondation Asile des Aveugles.Springer202020202020info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/45083http://dx.doi.org/10.1007/s10851-020-00960-xreponame:Repositorio Digital de la UPFinstname:Universitat Pompeu FabraInglésJournal of Mathematical Imaging and Vision. 2020 Jun 11Journal of Mathematical Imaging and Vision. 2021;63:263-81.info:eu-repo/grantAgreement/EC/H2020/761544info:eu-repo/grantAgreement/EC/H2020/780470info:eu-repo/grantAgreement/ES/2PE/PGC2018-099651-B-I00© Springer The final publication is available at Springer via http://dx.doi.org/10.1007/s10851-020-00960-xinfo:eu-repo/semantics/openAccessoai:repositori.upf.edu:10230/450832026-06-12T07:21:37Z
dc.title.none.fl_str_mv Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
title Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
spellingShingle Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
Bertalmío, Marcelo
Wilson–Cowan equations
Primary visual cortex
Orientation-dependent modelling
Contrast perception
Variational modelling
Geometrical optical illusions
title_short Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
title_full Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
title_fullStr Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
title_full_unstemmed Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
title_sort Cortical-inspired Wilson–Cowan-type equations for orientation-dependent contrast perception modelling
dc.creator.none.fl_str_mv Bertalmío, Marcelo
Calatroni, Luca
Franceschi, Valentina
Franceschiello, Benedetta
Prandi, Dario
author Bertalmío, Marcelo
author_facet Bertalmío, Marcelo
Calatroni, Luca
Franceschi, Valentina
Franceschiello, Benedetta
Prandi, Dario
author_role author
author2 Calatroni, Luca
Franceschi, Valentina
Franceschiello, Benedetta
Prandi, Dario
author2_role author
author
author
author
dc.subject.none.fl_str_mv Wilson–Cowan equations
Primary visual cortex
Orientation-dependent modelling
Contrast perception
Variational modelling
Geometrical optical illusions
topic Wilson–Cowan equations
Primary visual cortex
Orientation-dependent modelling
Contrast perception
Variational modelling
Geometrical optical illusions
description We consider the evolution model proposed in Bertalmío (Front Comput Neurosci 8:71, 2014), Bertalmío et al. (IEEE Trans Image Process 16(4):1058–1072, 2007) to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and differences with the widely used Wilson–Cowan equations (Wilson and Cowan in BioPhys J 12(1):1–24, 1972), mainly in terms of efficient representation properties. Then, in order to explicitly encode local directional information, we exploit the model of the primary visual cortex (V1) proposed in Citti and Sarti (J Math Imaging Vis 24(3):307–326, 2006) and largely used over the last years for several image processing problems (Duits and Franken in Q Appl Math 68(2):255–292, 2010; Prandi and Gauthier in A semidiscrete version of the Petitot model as a plausible model for anthropomorphic image reconstruction and pattern recognition. SpringerBriefs in Mathematics, Springer, Cham, 2017; Franceschiello et al. in J Math Imaging Vis 60(1):94–108, 2018). The resulting model is thus defined in the space of positions and orientation, and it is capable of describing assimilation and contrast visual bias at the same time. We report several numerical tests showing the ability of the model to reproduce, in particular, orientation-dependent phenomena such as grating induction and a modified version of the Poggendorff illusion. For this latter example, we empirically show the existence of a set of threshold parameters differentiating from inpainting to perception-type reconstructions and describing long-range connectivity between different hypercolumns in V1.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10230/45083
http://dx.doi.org/10.1007/s10851-020-00960-x
url http://hdl.handle.net/10230/45083
http://dx.doi.org/10.1007/s10851-020-00960-x
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Imaging and Vision. 2020 Jun 11
Journal of Mathematical Imaging and Vision. 2021;63:263-81.
info:eu-repo/grantAgreement/EC/H2020/761544
info:eu-repo/grantAgreement/EC/H2020/780470
info:eu-repo/grantAgreement/ES/2PE/PGC2018-099651-B-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositorio Digital de la UPF
instname:Universitat Pompeu Fabra
instname_str Universitat Pompeu Fabra
reponame_str Repositorio Digital de la UPF
collection Repositorio Digital de la UPF
repository.name.fl_str_mv
repository.mail.fl_str_mv
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