Extracting the Topological Structure of the Higher Order Critical points for 3D 
Vector Fields

Shi, Kuangyu

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Extracting the Topological Structure of the Higher Order Critical points for 3D Vector Fields

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Shi, Kuangyu
Computer Graphics, MPI for Informatics, Max Planck Society;
International Max Planck Research School, MPI for Informatics, Max Planck Society;

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Citation

Shi, K. (2004). Extracting the Topological Structure of the Higher Order Critical points for 3D Vector Fields. Master Thesis, Universität des Saarlandes, Saarbrücken.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-F7F9-C

Abstract

Critical points of vector fields are important topological features, which are characterized by the number and order of areas of different flow behavior around it. We present an approach to detect the different sectors around general critical points of 3D vector fields. This approach is based on a piecewise linear approximation of the vector fields around the critical points. We showed examples how this approach can also treat critical points of a higher order, and we discussed the limitation of the approach as well.