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Filtering by: Creator Mischaikow, Konstantin Michael Creator Chen, Guoning

Efficient Morse decompositions of vector fields

Creator:

Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene

Abstract:

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 introduced by simulation and interpolation. This can make such vector field analysis unsuitable for rigorous interpretations. We advocate the use...

Resource Type:

Research Paper
Efficient Morse decompositions of vector fields

Creator:

Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene

Abstract:

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 individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by...

Resource Type:

Research Paper
Vector field editing and periodic orbit extraction using Morse decomposition

Creator:

Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., Pilarczyk, Pawel, Zhang, Eugene, and Oregon State University. School of Electrical Engineering and Computer Science

Abstract:

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 with vector fields are fixed points, periodic orbits, and separatrices. In this paper we provide a new technique that allows for...

Resource Type:

Technical Report