Cited By
View all- Cheng WCheng RXiaoyong LShuling D(2011)Automatic skeleton generation and character skinning2011 IEEE International Symposium on VR Innovation10.1109/ISVRI.2011.5759655(299-304)Online publication date: Mar-2011
Constructing Reeb graphs using cylinder maps
Pages 111 - 112
Abstract
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing the Reeb graph of scalar functions defined over manifolds. Key to the simplicity and efficiency of the algorithm is an alternate definition of the Reeb graph that considers equivalence classes of level sets instead of individual level sets. The algorithm works in two steps. The first step locates all critical points of the function in the domain. Arcs in the Reeb graph are computed in the second step using a simple search procedure that works on a small subset of the domain that corresponds to a pair of critical points. The algorithm is also able to handle non-manifold domains.
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Index Terms
- Constructing Reeb graphs using cylinder maps
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June 2010
452 pages
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Association for Computing Machinery
New York, NY, United States
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Published: 13 June 2010
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View all- Cheng WCheng RXiaoyong LShuling D(2011)Automatic skeleton generation and character skinning2011 IEEE International Symposium on VR Innovation10.1109/ISVRI.2011.5759655(299-304)Online publication date: Mar-2011
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