@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-PW35VMXC-2
  skos:prefLabel "convex set"@en, "ensemble convexe"@fr ;
  a skos:Concept ;
  skos:narrower psr:-G1WCM30X-X .

psr:-G0VW5RMK-2
  skos:prefLabel "géométrie discrète"@fr, "discrete geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-G1WCM30X-X .

psr:-G1WCM30X-X
  skos:broader psr:-G0VW5RMK-2, psr:-PW35VMXC-2 ;
  skos:prefLabel "Radon's theorem"@en, "théorème de Radon"@fr ;
  skos:related psr:-D7BXDHMZ-R ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Radon>, <https://en.wikipedia.org/wiki/Radon_transform> ;
  dc:created "2023-08-17"^^xsd:date ;
  skos:definition """Le théorème de projection de Radon établit la possibilité de reconstituer une fonction réelle à deux variables (assimilable à une image) à l'aide de la totalité de ses projections selon des droites concourantes. L'application la plus courante de ce théorème est la reconstruction d'images médicales en tomodensitométrie, c'est-à-dire dans les scanneurs à rayon X. Il doit son nom au mathématicien Johann Radon. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Radon">https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Radon</a>)"""@fr, """In mathematics, the Radon transform is the integral transform which takes a function <i>f</i> defined on the plane to a function <i>Rf</i> defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes (integrating over lines is known as the X-ray transform). It was later generalized to higher-dimensional Euclidean spaces and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose transform. The Radon transform is widely applicable to tomography, the creation of an image from the projection data associated with cross-sectional scans of an object. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Radon_transform">https://en.wikipedia.org/wiki/Radon_transform</a>)"""@en ;
  a skos:Concept ;
  dc:modified "2023-08-17"^^xsd:date ;
  skos:inScheme psr: .

psr: a skos:ConceptScheme .
psr:-D7BXDHMZ-R
  skos:prefLabel "convex envelope"@en, "enveloppe convexe"@fr ;
  a skos:Concept ;
  skos:related psr:-G1WCM30X-X .