Conceitos Básicos
The authors present an algorithm for computing Reeb spaces of PL bivariate fields, focusing on the homeomorphism between the Multi-Dimensional Reeb Graph and the Reeb space.
Resumo
The content discusses an algorithm for computing Reeb spaces for PL bivariate fields, emphasizing the relationship between the Multi-Dimensional Reeb Graph and the Reeb space. It covers topological changes, critical points, Jacobi sets, and Morse conditions in detail.
- The Reeb space is a topological structure that extends the concept of the Reeb graph to multi-fields by generalizing contour topology.
- Techniques for computing multi-field topology have been developed based on Jacobi sets, fibers, and Reeb spaces.
- The authors introduce an algorithm for computing a net-like structure corresponding to the Reeb space of a generic PL bivariate field.
- The content provides detailed insights into simplicial complexes, PL scalar fields, critical points, and topological changes in time-varying Reeb graphs.
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