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On the topology of the Reeb graph
Publicationes Mathematicae DebrecenThe Reeb quotient space $R_f$ of a function $f\from X\to\mathbb{R}$, known as the Reeb graph, can have various properties depending on $X$ and $f$. In the classical case of a smooth function on a closed manifold with a finite number of critical points, $R_f$ has the structure of a finite graph.
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Efficient Output-Sensitive Construction of Reeb Graphs
2008The Reeb graph tracks topology changes in level sets of a scalar function and finds applications in scientific visualization and geometric modeling. This paper describes a near-optimal two-step algorithm that constructs the Reeb graph of a Morse function defined over manifolds in any dimension.
Doraiswamy, Harish, Natarajan, Vijay
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Reeb Graphs Through Local Binary Patterns
2015This paper presents an approach to derive critical points of a shape, the basis of a Reeb graph, using a combination of a medial axis skeleton and features along this skeleton. A Reeb graph captures the topology of a shape. The nodes in the graph represent critical points (positions of change in the topology), while edges represent topological ...
Ines Janusch, Walter G. Kropatsch
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Point cloud classification with deep normalized Reeb graph convolution
Image and Vision Computing, 2021Yang You, Wenhai Liu, Cewu Lu
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A Reeb Graph Approach for Faster 3D Printing
2022 IEEE 18th International Conference on Automation Science and Engineering (CASE), 2022Jayant Khatkar +3 more
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Constructing a Reeb graph automatically from cross sections
IEEE Computer Graphics and Applications, 1991T L Kunii
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