Robust Shape Reconstruction and Optimal Transportation
Pierre Alliez, Simon Giraudot, David Cohen-Steiner (2013)
Actes des rencontres du CIRM
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We describe a framework for robust shape reconstruction from raw point sets, based on optimal transportation between measures, where the input point sets are seen as distribution of masses. In addition to robustness to defect-laden point sets, hampered with noise and outliers, our approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.