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Robust shape reconstruction through optimal transportation

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Post-edited
Authors : Alliez, Pierre (Author of the conference)
CIRM (Publisher )

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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

Abstract : 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.

MSC Codes :
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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 22/01/14
    Conference Date : 19/11/2013
    Subseries : Research talks
    arXiv category : Computer Science ; Numerical Analysis
    Mathematical Area(s) : Numerical Analysis & Scientific Computing ; Computer Science
    Format : QuickTime (.mov) Video Time : 00:42:34
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2013-11-19_Alliez.mp4

Information on the Event

Event Title : Discrete curvature : theory and applications / Courbure discrète : théorie et applications
Event Organizers : Najman, Laurent ; Romon, Pascal
Dates : 18/11/13 - 22/11/13
Event Year : 2013
Event URL : 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

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