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Natural Stratifications of Reeb Spaces and Higher Morse Functions
Both Reeb spaces and higher Morse functions induce natural stratificatio...
11/17/2020 ∙ by Ryan E. Grady, et al. ∙
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Persistence Diagrams for Efficient Simplicial Complex Reconstruction
Topological descriptors have been shown to be useful for summarizing and...
12/29/2019 ∙ by Brittany Terese Fasy, et al. ∙
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Reconstructing Embedded Graphs from Persistence Diagrams
The persistence diagram (PD) is an increasingly popular topological desc...
12/18/2019 ∙ by Robin Lynne Belton, et al. ∙
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Challenges in Reconstructing Shapes from Euler Characteristic Curves
Shape recognition and classification is a problem with a wide variety of...
11/28/2018 ∙ by Brittany Terese Fasy, et al. ∙
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Learning Simplicial Complexes from Persistence Diagrams
Topological Data Analysis (TDA) studies the shape of data. A common topo...
05/27/2018 ∙ by Robin Lynne Belton, et al. ∙
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