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Persistence Barcodes for Shapes
(The Eurographics Association, 2004)
In this paper, we initiate a study of shape description and classification via the application of persistent homology to two tangential constructions on geometric objects. Our techniques combine the differentiating power ...
Registration of Point Cloud Data from a Geometric Optimization Perspective
(The Eurographics Association, 2004)
We propose a framework for pairwise registration of shapes represented by point cloud data (PCD). We assume that the points are sampled from a surface and formulate the problem of aligning two PCDs as a minimization of the ...