Introduction to Vector Field Topology

Günther T, Baeza Rojo I (2021)


Publication Type: Conference contribution

Publication year: 2021

Publisher: Springer Science and Business Media Deutschland GmbH

Pages Range: 289-326

Conference Proceedings Title: Mathematics and Visualization

Event location: Nyköping, SWE

ISBN: 9783030834999

DOI: 10.1007/978-3-030-83500-2_15

Abstract

Flow visualization is a research discipline that is concerned with the visual exploration and analysis of vector fields. An important class of methods are the topology-based techniques, which concentrate on individual structures in the domain that govern, constrain or guide the behavior of particles in the vector field. In this chapter, we give an overview of existing techniques for steady and unsteady vector fields in 2D and 3D. For time-dependent flows, we describe streamline-oriented and pathline-oriented approaches, eventually leading us to closely related feature-based visualization concepts such as reference frame invariance and Lagrangian coherent structures.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Günther, T., & Baeza Rojo, I. (2021). Introduction to Vector Field Topology. In Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny (Eds.), Mathematics and Visualization (pp. 289-326). Nyköping, SWE: Springer Science and Business Media Deutschland GmbH.

MLA:

Günther, Tobias, and Irene Baeza Rojo. "Introduction to Vector Field Topology." Proceedings of the 8th Workshop on Topological Methods in Data Analysis and Visualization, TopoInVis 2019, Nyköping, SWE Ed. Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny, Springer Science and Business Media Deutschland GmbH, 2021. 289-326.

BibTeX: Download