@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00807265v1> a dcat:Dataset ;
    dct:description """
              We propose in this paper to introduce a new spinor Fourier transform for both grey-level and color image processing. Our approach relies on the three following considerations: mathematically speaking, defining a Fourier transform requires to deal with group actions; vectors of the acquisition space can be considered as generalized numbers when embedded in a Clifford algebra; the tangent space of the image surface appears to be a natural parameter of the transform we define by means of so-called spin characters. The resulting spinor Fourier transform may be used to perform frequency filtering that takes into account the Riemannian geometry of the image. We give examples of low-pass filtering interpreted as diffusion process. When applied to color images, the entire color information is involved in a really non marginal process.
            """ ;
    dct:identifier "hal-00807265" ;
    dct:issued "2026-05-11T17:22:58.579809"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T17:22:58.579813"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Spinor Fourier Transform for Image Processing" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00807265v1/resource/57205c54-73e7-463b-9b85-25c4dd0de785> ;
    dcat:keyword "color-image",
        "fourier-transform",
        "grey-level-image",
        "infoeu-reposemanticspreprint",
        "infoinfo-tscomputer-science-cssignal-and-image-processing",
        "mathmath-dgmathematics-mathdifferential-geometry-mathdg",
        "preprints-working-papers-",
        "riemannian-geometry",
        "scale-space",
        "spisignalengineering-sciences-physicssignal-and-image-processing" ;
    dcat:landingPage <https://hal.science/hal-00807265> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00807265v1/resource/57205c54-73e7-463b-9b85-25c4dd0de785> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T17:22:58.582821"^^xsd:dateTime ;
    dct:modified "2026-05-11T17:22:58.567676"^^xsd:dateTime ;
    dct:title "Spinor Fourier Transform for Image Processing" ;
    dcat:accessURL <https://hal.science/hal-00807265> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00807265> a foaf:Document .

