Math @ Duke

Publications [#243605] of John Harer
Papers Published
 Edelsbrunner, H; Harer, J; Mascarenhas, A; Pascucci, V; Snoeyink, J, Timevarying Reeb graphs for continuous space–time data,
Computational Geometry, vol. 41 no. 3
(2008),
pp. 149166, Elsevier BV, ISSN 09257721 [doi]
(last updated on 2018/12/19)
Abstract: The Reeb graph is a useful tool in visualizing realvalued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a timevarying continuous function defined in threedimensional space. We show how to maintain the Reeb graph over time and compress the entire sequence of Reeb graphs into a single, partially persistent data structure, and augment this data structure with Betti numbers to describe the topology of level sets and with path seeds to assist in the fast extraction of level sets for visualization. © 2008 Elsevier B.V.


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