@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#> .

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    dct:description """
              We present a new algorithm for computing the topology of a real algebraic surface $S$, even in singular cases. We use previous algorithms for 2D and 3D algebraic curves and show how properties of the polar variety of $S$ yield a topological complex equivalent to $S$, or even a simplicial complex isotopic to $S$. The proof of correctness of the algorithm is detailed. It is based on tools from stratification theory. We construct an explicit Whitney stratification of $S$, by resultant computation. Using Thom's isotopy lemma, we show how to deduce the topology of $S$ from a finite number of characteristic points on the surface. An analysis of the complexity of the algorithm and effectivity issues conclude the paper.
            """ ;
    dct:identifier "Report N°: RR-5508" ;
    dct:issued "2026-05-16T00:21:25.820579"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-16T00:21:25.820585"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Isotopic meshing of a real algebraic surface" ;
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    dcat:keyword "implicit-algebraic-surface",
        "infoeu-reposemanticsreport",
        "infoinfo-ohcomputer-science-csother-csoh",
        "isotopy",
        "meshing",
        "reports",
        "singularity",
        "thoms-lemma",
        "whitney-stratification" ;
    dcat:landingPage <https://inria.hal.science/inria-00070499> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-inria-00070499v1/resource/cb4c0651-5e7e-4604-a02a-959a9f92a7c7> a dcat:Distribution ;
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    dct:issued "2026-05-16T00:21:25.920391"^^xsd:dateTime ;
    dct:modified "2026-05-16T00:21:25.794454"^^xsd:dateTime ;
    dct:title "Isotopic meshing of a real algebraic surface" ;
    dcat:accessURL <https://inria.hal.science/inria-00070499> .

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<https://inria.hal.science/inria-00070499> a foaf:Document .