@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-00708089v1> a dcat:Dataset ;
    dct:description """
              This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images $\\rho_0$ and $\\rho_1$, we calculate an evolution process $\\rho(t,\\cdot)$ which transports $\\rho_0$ to $\\rho_1$ by using the optical flow. In this paper we propose an algorithm based on a fixed point formulation and a space-time least squares formulation of the transport equation for computing a transport problem. Existence results are given for a transport problem with a minimum divergence for a dual norm or a weighted $H^1_0$-semi norm, for the velocity. The proposed transport is compared with the transport introduced by Dacorogna-Moser. The strategy is implemented in a 2D case and numerical results are presented with a first order Lagrange finite element, showing the efficiency of the proposed strategy.
            """ ;
    dct:identifier "hal-00708089" ;
    dct:issued "2026-05-15T18:16:37.047945"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-15T18:16:37.047956"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A Transport for imaging process" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00708089v1/resource/b0c5afd6-d2c7-46ba-96b6-40205d310b92> ;
    dcat:keyword "35f40-35l85-35r05-62-99",
        "images-transport",
        "infoeu-reposemanticspreprint",
        "least-squares-solutions",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00708089> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00708089v1/resource/b0c5afd6-d2c7-46ba-96b6-40205d310b92> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-15T18:16:37.053410"^^xsd:dateTime ;
    dct:modified "2026-05-15T18:16:37.026223"^^xsd:dateTime ;
    dct:title "A Transport for imaging process" ;
    dcat:accessURL <https://hal.science/hal-00708089> .

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

<https://hal.science/hal-00708089> a foaf:Document .