Parallel Computation of 2D Morse-Smale Complexes

@article{Shivashankar2012ParallelCO,
  title={Parallel Computation of 2D Morse-Smale Complexes},
  author={Nithin Shivashankar and Senthilnathan Maadasamy and Vijay Natarajan},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  year={2012},
  volume={18},
  pages={1757-1770}
}
The Morse-Smale complex is a useful topological data structure for the analysis and visualization of scalar data. This paper describes an algorithm that processes all mesh elements of the domain in parallel to compute the Morse-Smale complex of large 2D datasets at interactive speeds. We employ a reformulation of the Morse-Smale complex using Forman's Discrete Morse Theory and achieve scalability by computing the discrete gradient using local accesses only. We also introduce a novel approach to… CONTINUE READING
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