Quadrilateral and tetrahedral mesh stripification using 2-factor partitioning of the dual graph |
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Authors: | Pablo Diaz-Gutierrez M Gopi |
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Affiliation: | 1. Department of Computer Science, University of California, Irvine, USA
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Abstract: | In order to find a 2-factor of a graph, there exists a O(n 1.5) deterministic algorithm 7] and a O(n 3) randomized algorithm 14]. In this paper, we propose novel O(nlog3 nloglogn) algorithms to find a 2-factor, if one exists, of a graph in which all n vertices have degree 4 or less. Such graphs are actually dual graphs of quadrilateral and tetrahedral meshes. A 2-factor of such graphs implicitly defines a linear ordering of the mesh primitives in the form of strips. Further, by introducing a few additional primitives, we reduce the number of tetrahedral strips to represent the entire tetrahedral mesh and represent the entire quad surface using a single quad strip. |
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