Search Results - Flow visualization discrete Morse theory topological data analysis

Localized Evaluation for Constructing Discrete Vector Fields by Finken, Tanner, Tierny, Julien, Levine, Joshua A.

“… One alternative is to represent the vector field using a discrete approach, which constructs a collection of pairs of simplices in the input mesh that satisfies criteria introduced by Forman's discrete Morse theory…”
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From numerics to combinatorics: a survey of topological methods for vector field visualization by Wang, Wentao, Wang, Wenke, Li, Sikun

“…Topological methods are important tools for data analysis, and recently receiving more and more attention in vector field visualization…”
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Hierarchical Forman Triangulation: A multiscale model for scalar field analysis by Iuricich, Federico, De Floriani, Leila

“…•A new multi-scale model based on discrete Morse theory which combines mesh and topological updates…”
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A Quantized Boundary Representation of 2D Flows by Levine, J. A., Jadhav, S., Bhatia, H., Pascucci, V., Bremer, P.-T.

“…Analysis and visualization of complex vector fields remain major challenges when studying large scale simulation of physical phenomena…”
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Combinatorial construction of Morse -Smale complexes for data analysis and visualization by Gyulassy, Attila Gabor

“… The second algorithm uses discrete Morse theory to generate an explicit representation of the discrete gradient flow of a scalar function, and uses this representation…”
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