Topological methods in data analysis and visualization [electronic resource] : theory, algorithms, and applications / Valerio Pascucci [and others], editors.
Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the represen...
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Format: | Electronic eBook |
Language: | English |
Published: |
Berlin ; Heidelberg :
Springer,
©2011.
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Series: | Mathematics and visualization.
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Table of Contents:
- Topological Methods in Data Analysis and Visualization; Preface; Geometric Topology & Visualizing 1-Manifolds; Stripe Parameterization of Tubular Surfaces; The Stability of the Apparent Contour of an Orientable 2-Manifold; Reconstructing Cell Complexes From Cross-sections; Substructure Topology Preserving Simplification of Tetrahedral Meshes; Practical Considerations in Morse-Smale Complex Computation; Modeling and Simplifying Morse Complexes in Arbitrary Dimensions; Simplification of Jacobi Sets; Combinatorial 2D Vector Field Topology Extraction and Simplification.