Abstract : 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.
https://hal.inria.fr/hal-01090630
Contributor : Simon Giraudot
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Submitted on : Friday, April 17, 2015 - 11:22:13 AM
Last modification on : Thursday, January 11, 2018 - 4:44:55 PM
Long-term archiving on : Tuesday, April 18, 2017 - 10:47:31 PM
Pierre Alliez, Simon Giraudot, David Cohen-Steiner. Robust Shape Reconstruction and Optimal Transportation. Courbure discrète : théorie et applications, Jan 2014, Marseille, France. ⟨hal-01090630v2⟩
