Discrete Curvature

Theory and Applications


A colloquium on discrete curvature

Robust Shape Reconstruction through Optimal Transportation

Pierre Alliez

Slides can be found by following the link.

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.

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