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Home > Art, Film & Photography > Espace Topologique Remarquable: Distance Remarquable, Variete Remarquable, Sphere de Riemann, Distance de Hausdorff, 3-Sphere, Fibre de Seifert
Espace Topologique Remarquable: Distance Remarquable, Variete Remarquable, Sphere de Riemann, Distance de Hausdorff, 3-Sphere, Fibre de Seifert

Espace Topologique Remarquable: Distance Remarquable, Variete Remarquable, Sphere de Riemann, Distance de Hausdorff, 3-Sphere, Fibre de Seifert


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About the Book

Ce contenu est une compilation d'articles de l'encyclopedie libre Wikipedia. Pages: 31. Non illustre. Chapitres: Distance remarquable, Variete remarquable, Sphere de Riemann, Distance de Hausdorff, 3-sphere, Fibre de Seifert, Ruban de Mobius, Distance de Hamming, Topologie de la droite reelle, Bouteille de Klein, Ensemble de Cantor, Distance ultrametrique, N-sphere, Surface de Boy, Distance de Bhattacharyya, Lacs de Wada, Longue droite, Espace dodecaedrique de Poincare, Droite reelle achevee, Solenoide, Collier d'Antoine, Cube de Hilbert, Espace de Cantor, Distance de chanfrein, Distance de Manhattan, Distance du grand cercle, Topologie cofinie, Topologie de Sierpi ski, Distance procrusteenne, Distance angulaire. Extrait: En mathematiques, et plus precisement en geometrie, la distance de Hausdorff est un outil topologique qui mesure l'eloignement de deux sous-ensembles d'un espace metrique sous-jacent. Cette distance apparait dans deux contextes bien differents. Pour le traitement d'images, elle est un outil aux proprietes multiples, source de nombreux algorithmes. Elle indique si deux formes sont les memes et, si elles sont differentes, la distance quantifie ces dissemblances. En dimension 2, la distance de Hausdorff permet de numeriser une image ou encore de reconnaitre une forme. Cet outil, issu des mathematiques pures, n'est pas toujours adapte pour les traitements industriels. Par exemple, deux formes aux contours de longueurs differentes peuvent etre proches, au sens de cette distance. Pour ces raisons, on utilise parfois des variantes, comme la distance de Hausdorff modifiee. Pour le mathematicien pur, cette distance est a la geometrie, ce que la norme de la convergence uniforme est a l'analyse. La convergence uniforme, en analyse fonctionnelle procede d'une demarche qui consiste a travailler sur un nouvel ensemble. On n'etudie plus le comportement des nombres, reels ou complexes, sur lesquels est definie la fonction, mais celui d'un ensemble de fonctions...


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Product Details
  • ISBN-13: 9781159464578
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Weight: 77 gr
  • ISBN-10: 115946457X
  • Publisher Date: 21 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Distance Remarquable, Variete Remarquable, Sphere de Riemann, Distance de Hausdorff, 3-Sphere, Fibre de Seifert
  • Width: 189 mm


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