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Post-edited Robust shape reconstruction through optimal transportation

Auteurs : Alliez, Pierre (Auteur de la Conférence)
CIRM (Editeur )

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introduction shape reconstruction defect-laden data robustness feature preserving distance between measures variable noise ambiant noise apparent dimension noise-adaptative distance function piecewise smooth shapes with boundaries distance between measures algorithm overview results on robustness results on feature preservation results on variable mass limitations surface reconstruction fractional transport plan solving through linear programming vertex relocation results summary future work questions

Résumé : I will describe a recent framework for robust shape reconstruction based on optimal transportation between measures, where the input measurements are seen as distribution of masses. In addition to robustness to defect-laden point sets (hampered with noise and outliers), this approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.

Codes MSC :
65D17 - Computer aided design (modeling of curves and surfaces)
65D18 - Computer graphics, image analysis, and computational geometry
68Rxx - Discrete mathematics in relation to computer science

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 22/01/14
    Date de captation : 19/11/13
    Collection : Research talks
    Format : QuickTime (.mov) Durée : 00:42:34
    Domaine : Numerical Analysis & Scientific Computing ; Computer Science
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2013-11-19_Alliez.mp4

Informations sur la rencontre

Nom du congrès : Discrete curvature : theory and applications / Courbure discrète : théorie et applications
Organisteurs Congrès : Najman, Laurent ; Romon, Pascal
Dates : 18/11/13 - 22/11/13
Année de la rencontre : 2013
URL Congrès : http://www.laurentnajman.org/curvature/

Citation Data

DOI : 10.24350/CIRM.V.18441803
Cite this video as: Alliez, Pierre (2013). Robust shape reconstruction through optimal transportation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18441803
URI : http://dx.doi.org/10.24350/CIRM.V.18441803