From Riemannian trichromacy to quantum color opponency via hyperbolicity
| hal.structure.identifier | Mathématiques, Image et Applications - EA 3165 [MIA] | |
| dc.contributor.author | BERTHIER, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PROVENZI, Edoardo | |
| dc.date.accessioned | 2024-04-04T02:57:01Z | |
| dc.date.available | 2024-04-04T02:57:01Z | |
| dc.date.issued | 2021-02-03 | |
| dc.identifier.issn | 0924-9907 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192521 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | From Riemannian trichromacy to quantum color opponency via hyperbolicity | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | |
| dc.subject.hal | Physique [physics]/Physique Quantique [quant-ph] | |
| bordeaux.journal | Journal of Mathematical Imaging and Vision | |
| bordeaux.volume | 63 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02479897 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02479897v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Imaging%20and%20Vision&rft.date=2021-02-03&rft.volume=63&rft.eissn=0924-9907&rft.issn=0924-9907&rft.au=BERTHIER,%20Michel&PROVENZI,%20Edoardo&rft.genre=preprint |
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