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» Compactness in Topology and Computation
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CG
2004
Springer
13 years 10 months ago
A barcode shape descriptor for curve point cloud data
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 ...
Anne D. Collins, Afra Zomorodian, Gunnar Carlsson,...
ACS
2005
13 years 10 months ago
Locally Compact Path Spaces
It is shown that the space X[0,1], of continuous maps [0, 1] X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. ...
Susan B. Niefield
FLAIRS
2004
14 years 8 days ago
Splitting Ratios: Metric Details of Topological Line-Line Relations
Within the geographic domain, an important class of relies on geometric abstractions in the form of lines where, for instance, transportation networks and trajectories of movement...
Konstantinos A. Nedas, Max J. Egenhofer
ICALP
2010
Springer
14 years 3 months ago
A Topological Approach to Recognition
We propose a new approach to the notion of recognition, which departs from the classical definitions by three specific features. First, it does not rely on automata. Secondly, it...
Mai Gehrke, Serge Grigorieff, Jean-Eric Pin
ICPR
2000
IEEE
14 years 3 months ago
Segmentation and Surface Characterization of Arbitrary 3D Meshes for Object Reconstruction and Recognition
Polygonal models are the most common representation of structured 3D data in computer graphics, pattern recognition and machine vision. The method presented here automatically ide...
Georgios Papaioannou, Evaggelia-Aggeliki Karabassi...