Reeb graphs for shape analysis and applications
From MaRDI portal
Publication:2476009
DOI10.1016/j.tcs.2007.10.018zbMath1134.68064OpenAlexW2075608792MaRDI QIDQ2476009
Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, Michela Spagnuolo
Publication date: 11 March 2008
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tcs.2007.10.018
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Cites Work
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- Simple and optimal output-sensitive construction of contour trees using monotone paths
- Trekking in the alps without freezing or getting tired
- Morse theory for cell complexes
- Shape understanding by contour-driven retiling
- Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds
- Topological zone organization of scalar volume data
- A user's guide to discrete Morse theory
- Topological persistence and simplification
- Computing contour trees in all dimensions
- Blowing bubbles for multi-scale analysis and decomposition of triangle meshes
- Stability of critical points with interval persistence
- Critical points and curvature for embedded polyhedra
- Two-Dimensional Critical Point Configuration Graphs
- The TOPORRERY: computation and presentation of multi-resolution topology
- Morse Theory. (AM-51)
- Topological quadrangulations of closed triangulated surfaces using the Reeb graph
- Topological volume skeletonization and its application to transfer function design
- THE AUGMENTED MULTIRESOLUTION REEB GRAPH APPROACH FOR CONTENT-BASED RETRIEVAL OF 3D SHAPES
- Loops in reeb graphs of 2-manifolds
- Time-varying reeb graphs for continuous space-time data
- Stability of persistence diagrams
- SHAPE-COVERING FOR SKELETON EXTRACTION
- Critical Points and Curvature for Embedded Polyhedral Surfaces
- An exact sequence in differential topology
- Discrete Geometry for Computer Imagery
