Locating Closed Hyperstreamlines in Second Order Tensor Fields

Wischgoll, Thomas; Meyer, Joerg

doi:10.1007/3-540-31272-2_15

Cited by 4 publications

(7 citation statements)

References 15 publications

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“…This approach works on 2D vector fields. This approach has been extended to 2D time dependent vector fields and to 3D vector fields [Wischgoll and Scheuermann 2002]. These approaches are based on a tracking of streamlines.…”

Section: Related Workmentioning

confidence: 99%

Closed stream lines in uncertain vector fields

Otto

Germer

Theisel

2011

Proceedings of the 27th Spring Conference on Computer Graphics

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Figure 1: Segment of the Pacific Ocean: volume renderings of the particle distributions visualize attracting (blue) and repelling (red) structures. There are two attracting and two repelling closed stream lines. AbstractWe present a method for the detection and visualization of closed stream lines topologically acting as sources or sinks in uncertain 2D and 3D vector fields. For their detection, we apply a Monte Carlo simulation which generates particle distribution functions representing sinks and sources. We show that in the uncertain case there is no structural difference between critical points and closed orbits. This allows the application of critical point extractors to closed stream lines as well. We show applications for some synthetic and real world examples.

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Section: Related Workmentioning

confidence: 99%

Closed stream lines in uncertain vector fields

Otto

Germer

Theisel

2011

Proceedings of the 27th Spring Conference on Computer Graphics

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“…The orbit structure of line fields has already received considerable attention in the scientific visualization community (see [7,33] for reviews). The problem of closed orbit detection has been posed in [7,Section 5.2.3], and was considered by [34], building on [35]. In that approach, numerical line field integration is used to identify cell chains that may contain a closed orbit.…”

Section: Introductionmentioning

confidence: 99%

“…The altimeter products used in this work are produced by SSALTO/DUACS and distributed by AVISO, with support from CNES (http://www.aviso.oceanobs.com/). We thank Bert Hesselink for providing [25], Xavier Tricoche for pointing out [27,28] and Ulrich Koschorke and Francisco Beron-Vera for useful comments.…”

mentioning

confidence: 99%

Automated detection of coherent Lagrangian vortices in two-dimensional unsteady flows

2015

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“…Scheuermann et al [13] suggest a novel approach to detect higherorder singularities. Several algorithms have been proposed for extracting periodic orbits [19,20,2], an important constituent of vector field topology. Tricoche et al [18] suggest a singularity tracking method for time-dependent vector fields.…”

Section: Related Workmentioning

confidence: 99%

2D Asymmetric Tensor Field Topology

Lin

Yeh

Laramee

et al. 2011

Mathematics and Visualization

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In this chapter we define the topology of 2D asymmetric tensor fields in terms of two graphs corresponding to the eigenvalue and eigenvector analysis for the tensor fields, respectively. Asymmetric tensor field topology can not only yield a concise representation of the field, but also provide a framework for spatial-temporal tracking of field features. Furthermore, inherent topological constraints in asymmetric tensor fields can be identified unambiguously through these graphs. We also describe efficient algorithms to compute the topology of a given 2D asymmetric tensor field. We demonstrate the utility of our graph representations for asymmetric tensor field topology with fluid simulation data sets.

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Locating Closed Hyperstreamlines in Second Order Tensor Fields

Cited by 4 publications

References 15 publications

Closed stream lines in uncertain vector fields

Closed stream lines in uncertain vector fields

Automated detection of coherent Lagrangian vortices in two-dimensional unsteady flows

2D Asymmetric Tensor Field Topology

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