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Parallel computation of 2D Morse-Smale complexes.

Nithin Shivashankar1, M Senthilnathan, Vijay Natarajan

  • 1Department of Computer Science and Automation, Indian Institute of Science, Karnataka, Bangalore 560012, India. nithin@csa.iisc.ernet.in

IEEE Transactions on Visualization and Computer Graphics
|December 14, 2011
PubMed
Summary
This summary is machine-generated.

This study presents a parallel algorithm for computing Morse-Smale complexes, enabling fast analysis and visualization of large 2D datasets. The method ensures accurate geometry and scales efficiently on multicore and GPU architectures.

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Area of Science:

  • Topological Data Analysis
  • Scientific Visualization
  • Computational Geometry

Background:

  • Morse-Smale complexes are valuable for analyzing scalar data.
  • Existing methods struggle with large 2D datasets, limiting interactive speeds.
  • Efficient computation is crucial for practical applications.

Purpose of the Study:

  • To develop a parallel algorithm for computing Morse-Smale complexes.
  • To achieve interactive speeds for large 2D datasets.
  • To ensure accurate geometric representation of the complex.

Main Methods:

  • Utilized Forman’s Discrete Morse Theory for a reformulated approach.
  • Employed local data access for scalable discrete gradient computation.
  • Introduced a novel gradient path merging technique for geometric accuracy.

Main Results:

  • The algorithm processes mesh elements in parallel for efficient computation.
  • Achieved interactive speeds on large 2D datasets.
  • Demonstrated effective performance on multicore and GPU architectures.

Conclusions:

  • The proposed parallel algorithm significantly enhances the computation of Morse-Smale complexes.
  • The method offers scalability and accuracy for large-scale data analysis.
  • Enables interactive visualization and analysis of complex scalar fields.