This chapter gives an overview on topological methods for vector field processing. After introducing topological features for 2D and 3D vector fields, we discuss how to extract and use them as visualization tools for complex flow phenomena. We do so both for static and dynamic fields. Finally, we introduce further applications of topological methods for compressing, simplifying, comparing, and constructing vector fields.
CITATION STYLE
Theisel, H., Rössl, C., & Weinkauf, T. (2008). Topological representations of vector fields. In Mathematics and Visualization (Vol. 0, pp. 215–240). Springer Heidelberg. https://doi.org/10.1007/978-3-540-33265-7_7
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