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

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

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0027-F7F9-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0027-F7FA-A
Genre: Thesis
Latex : Extracting the Topological Structure of the Higher Order Critical points for {3D} Vector Fields

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 Creators:
Shi, Kuangyu1, 2, Author           
Theisel, Holger1, Advisor           
Seidel, Hans-Peter1, Advisor           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2International Max Planck Research School, MPI for Informatics, Max Planck Society, Campus E1 4, 66123 Saarbrücken, DE, ou_1116551              

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 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.

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Language(s): eng - English
 Dates: 20042004
 Publication Status: Issued
 Pages: -
 Publishing info: Saarbrücken : Universität des Saarlandes
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: Kuangyu2004
 Degree: Master

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