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Issue No. 10 - Oct. (2012 vol. 18)
ISSN: 1077-2626
pp: 1757-1770
Vijay Natarajan , Indian Institute of Science, Bangalore
Nithin Shivashankar , Indian Institute of Science, Bangalore
Senthilnathan M , Indian Institute of Science, Bangalore
ABSTRACT
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 merge gradient paths that ensures accurate geometry of the computed complex. We demonstrate that our algorithm performs well on both multicore environments and on massively parallel architectures such as the GPU.
INDEX TERMS
Manifolds, Geometry, Vectors, Data visualization, Algorithm design and analysis, Parallel algorithms, 2D scalar functions., Topology-based methods, discrete Morse theory, large datasets, gradient pairs, multicore
CITATION
Vijay Natarajan, Nithin Shivashankar, Senthilnathan M, "Parallel Computation of 2D Morse-Smale Complexes", IEEE Transactions on Visualization & Computer Graphics, vol. 18, no. , pp. 1757-1770, Oct. 2012, doi:10.1109/TVCG.2011.284
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