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hal.structure.identifierMathématiques, Image et Applications - EA 3165 [MIA]
dc.contributor.authorBERTHIER, Michel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPROVENZI, Edoardo
dc.date.accessioned2024-04-04T02:57:01Z
dc.date.available2024-04-04T02:57:01Z
dc.date.issued2021-02-03
dc.identifier.issn0924-9907
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192521
dc.description.abstractEnWe propose a mathematical description of human color perception that relies on a hyper-bolic structure of the space P of perceived colors. We show that hyperbolicity allows us to reconcile both trichromaticity, from a Riemannian point of view, and color opponency, from a quantum viewpoint. In particular, we will underline how the opponent behavior can be represented by a rebit, a real analog of a qubit, whose state space is endowed with the Hilbert metric.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enFrom Riemannian trichromacy to quantum color opponency via hyperbolicity
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Géométrie différentielle [math.DG]
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
dc.subject.halPhysique [physics]/Physique Quantique [quant-ph]
bordeaux.journalJournal of Mathematical Imaging and Vision
bordeaux.volume63
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02479897
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02479897v1
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