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source: Centre International de Rencontres Mathématiques 2015年8月10日
Pierre Alliez : Robust shape reconstruction through optimal transportation 42:34
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr.
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.
Recording during the thematic meeting: "Discrete curvature: theory and applications" the November 19, 2013 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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