Title :
Localized Homology
Author :
Zomorodian, Afra ; Carlsson, Gunnar
Author_Institution :
Dartmouth Coll., Hanover
Abstract :
In this paper, we provide the theoretical foundation and an effective algorithm for localizing topological attributes such as tunnels and voids. Unlike previous work that focused on 2-manifolds with restricted geometry, our theory is general and localizes arbitrary-dimensional attributes in arbitrary spaces. We implement our algorithm and present experiments to validate our approach in practice.
Keywords :
topology; arbitrary-dimensional attributes; localized homology; topological attribute localization; tunnels; voids; Computational geometry; Computer graphics; Computer science; Educational institutions; Image reconstruction; Mathematics; Orbital robotics; Shape; Solids; Topology;
Conference_Titel :
Shape Modeling and Applications, 2007. SMI '07. IEEE International Conference on
Conference_Location :
Lyon
Print_ISBN :
0-7695-2815-5
DOI :
10.1109/SMI.2007.25
