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• W86788902 abstract "Algorithms for computing contour trees for visualization commonly assume that the input is defined by barycentric interpolation on simplicial meshes or by trilinear interpolation on cubic meshes. In this paper, we describe a general framework for computing contour trees from a graph that captures all significant topological features. We show how to construct these graphs from any mesh-based interpolant by using cell-by-cell “widgets,” and also how to avoid constructing the entire graphs by making finite state machines that capture their traversals. Our framework eases algorithm development and implementation, and can be used to establish relationships between interpolants. For example, we use it to demonstrate a formal equivalence between the topology defined by implicitly dis-ambiguated marching cubes cases and the topology induced by 8-/18- digital image connectivity." @default.
• W86788902 created "2016-06-24" @default.
• W86788902 creator A5020952435 @default.
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• W86788902 date "2009-01-01" @default.
• W86788902 modified "2023-09-27" @default.
• W86788902 title "Representing Interpolant Topology for Contour Tree Computation" @default.
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• W86788902 doi "https://doi.org/10.1007/978-3-540-88606-8_5" @default.
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