Finite time steady vector field topology - Theoretical foundation and 3d case

Friederici A, Günther T, Rössl C, Theisel H (2017)


Publication Type: Conference contribution

Publication year: 2017

Publisher: Eurographics Association

Pages Range: 95-102

Conference Proceedings Title: Vision, Modeling and Visualization, VMV 2017

Event location: Bonn DE

ISBN: 9783038680499

DOI: 10.2312/vmv.20171264

Abstract

Vector Field Topology is the standard approach for the analysis of asymptotic particle behavior in a vector field flow: A topological skeleton is separating the flow into regions by the movement of massless particles for an integration time converging to infinity. In some use cases however only a finite integration time is feasible. To this end, the idea of a topological skeleton with an augmented finite-time separation measure was introduced for 2D vector fields. We lay the theoretical foundation for that method and extend it to 3D vector fields. From the observation of steady vector fields in a temporal context we show the Galilean invariance of Vector Field Topology. In addition, we present a set of possible visualizations for finite-time topology on 3D topological skeletons.

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APA:

Friederici, A., Günther, T., Rössl, C., & Theisel, H. (2017). Finite time steady vector field topology - Theoretical foundation and 3d case. In Vision, Modeling and Visualization, VMV 2017 (pp. 95-102). Bonn, DE: Eurographics Association.

MLA:

Friederici, Anke, et al. "Finite time steady vector field topology - Theoretical foundation and 3d case." Proceedings of the 2017 Conference on Vision, Modeling and Visualization, VMV 2017, Bonn Eurographics Association, 2017. 95-102.

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