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Mathematics and Visualization
of the cactus trunk and length of its spikes. ... We introduce a new visual metaphor for contour trees, called topological cacti, that extends the traditional toporrery display of a contour tree to display additional quantitative information as width ...  proposed the branch decomposition of the contour tree as an efficient data structure for encoding a multi-resolution representation of the contour tree. ...doi:10.1007/978-3-642-23175-9_5 fatcat:uezwcdtohrhwvcjebemkfe4duy
The basic idea is to construct a terrain with the same topology as a given dataset and to display the terrain as an easily understood representation of the actual input data. ... In this projection from an n-dimensional scalar function to a two-dimensional (2D) model we preserve function values of critical points, the persistence (function span) of topological features, and one ... ACKNOWLEDGEMENTS We would like to thank Hamish Carr and Scott Dillard for making available the code used to compute contour trees and the branch decomposition and Peter Lindstrom for making available the ...doi:10.1109/tvcg.2007.70601 pmid:17968092 fatcat:hdkqvk53ibde5knyzppdqj7og4