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Topological estimation using witness complexes
(The Eurographics Association, 2004)
This paper tackles the problem of computing topological invariants of geometric objects in a robust manner, using only point cloud data sampled from the object. It is now widely recognised that this kind of topological ...
A Barcode Shape Descriptor for Curve Point Cloud Data
(The Eurographics Association, 2004)
In this paper, we present a complete computational pipeline for extracting a compact shape descriptor for curve point cloud data. Our shape descriptor, called a barcode, is based on a blend of techniques from differential ...