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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

Full Text:

contain multiple fixed points and periodic orbits. For many engineering applications, such as the study of