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Browsing by Subject "Morse decomposition"

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Browsing by Subject "Morse decomposition"

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  • Efficient Morse decompositions of vector fields 
    Oregon State University. Dept. of Computer Science; Chen, Guoning; Mischaikow, Konstantin Michael; Laramee, Robert S.; Zhang, Eugene (Corvallis, OR : Oregon State University, Dept. of Computer Science, 2007)
    Existing topology-based vector field analysis techniques rely on the ability to extract the individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduce ...
  • Efficient Morse decompositions of vector fields 
    Oregon State University. Dept. of Computer Science; Chen, Guoning; Mischaikow, Konstantin Michael; Laramee, Robert S.; Zhang, Eugene (Corvallis, OR : Oregon State University, Dept. of Computer Science, 2007)
    Vector field analysis plays a crucial role in many engineering applications, such as weather prediction, tsunami and hurricane study, and airplane and automotive design. Existing vector field analysis techniques focus on ...
  • Morse set classification and hierarchical refinement using Conley index 
    Chen, Guoning; Deng, Qingqing; Szymczak, Andrzej; Laramee, Robert; Zhang, Eugene (2009)
    Reliable analysis of vector elds is crucial for the rigorous interpretation of the ow data stemming from a wide range of engineering applications. Morse decomposition of a vector field has proven a useful topological ...
  • Robust Morse Decompositions of Piecewise Constant Vector Fields 
    Szymczak, Andrzej; Zhang, Eugene (IEEE-Institute of Electrical and Electronics Engineers, 2012-06)
    In this paper, we introduce a new approach to computing a Morse decomposition of a vector field on a triangulated manifold surface. The basic idea is to convert the input vector field to a piecewise constant (PC) vector ...
  • Topological analysis, visualization, and design of vector fields on surfaces 
    Chen, Guoning (2009-06-24)
    Analysis, visualization, and design of vector fields on surfaces have a wide variety of major applications in both scientific visualization and computer graphics. On the one hand, analysis and visualization of vector fie ...
  • Vector field editing and periodic orbit extraction using Morse decomposition 
    Oregon State University. School of Electrical Engineering and Computer Science; Chen, Guoning; Mischaikow, Konstantin Michael; Laramee, Robert S.; Pilarczyk, Pawel; Zhang, Eugene (Corvallis, OR : Oregon State University, Dept. of Computer Science, 2006)
    Design and control of vector fields is critical for many visualization and graphics tasks such as vector field visualization, fluid simulation, and texture synthesis. The fundamental qualitative structures associated wit ...

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