Homology and Cohomology

Thursday, October 31, 2013 - 11:30am - 12:20pm
Bei Wang (The University of Utah)
I will discuss several interesting applications of homology and cohomology in visualization. First, I will describe how the topological notion of robustness, a relative of persistence, could be applied in the analysis and visualization of vector fields. In particular, robustness allows us to quantify the stability of critical points, to investigate how the stability of a critical point evolves over time and to infer correspondences between features. It also leads to novel vector field simplification schemes in 2D and 3D.
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