On the Finite-Time Scope for Computing Lagrangian Coherent Structures from Lyapunov Exponents

Sadlo, Filip; Üffinger, Markus; Ertl, Thomas; Weiskopf, Daniel

doi:10.1007/978-3-642-23175-9_18

Cited by 7 publications

(2 citation statements)

References 10 publications

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“…Considering the use case of flow visualization, the data need not necessarily be excessively large to be taxing to visualize, since many flow visualization techniques require long integrations, for example when computing streak‐ or streamlines [SD11, KSWE16] or FTLE separatrices [BSDW12, SUEW12]. If the integration is performed on the server, the base representation of the vector field needs to be transmitted once per configuration, using any optimization as per section 2.5.…”

Section: Discussionmentioning

confidence: 99%

State‐of‐the‐Art Report in Web‐based Visualization

Mwalongo

Krone

Reina

et al. 2016

Computer Graphics Forum

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In this report, we review the current state of the art of web-based visualization applications. Recently, an increasing number of web-based visualization applications have emerged. This is due to the fact that new technologies offered by modern browsers greatly increased the capabilities for visualizations on the web. We first review these technical aspects that are enabling this development. This includes not only improvements for local rendering like WebGL and HTML5, but also infrastructures like grid or cloud computing platforms. Another important factor is the transfer of data between the server and the client. Therefore, we also discuss advances in this field, for example methods to reduce bandwidth requirements like compression and other optimizations such as progressive rendering and streaming. After establishing these technical foundations, we review existing web-based visualization applications and prototypes from various application domains. Furthermore, we propose a classification of these web-based applications based on the technologies and algorithms they employ. Finally, we also discuss promising application areas that would benefit from web-based visualization and assess their feasibility based on the existing approaches.

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Section: Discussionmentioning

confidence: 99%

State‐of‐the‐Art Report in Web‐based Visualization

Mwalongo

Krone

Reina

et al. 2016

Computer Graphics Forum

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“…Ridge extraction from the FTLE is comparably easy to employ, but it exhibits several downsides. The most hindering problems include: very strong aliasing [USK*12] (Figure (d) and (e)), which can impede extraction of ridges, the requirement of problem‐dependent and often not globally feasible advection times T [SLM05, SUEW12, Sad15], and the computationally very expensive computation of the FTLE. Although several acceleration techniques have been proposed so far for the computation of FTLE (time series) [GGTH07, SP07, SRP11, HSW11], the achieved overall accelerations are moderate because still comparably many samples are required.…”

Section: Related Work and Fundamentalsmentioning

confidence: 99%

Space‐Time Bifurcation Lines for Extraction of 2D Lagrangian Coherent Structures

Machado

Boblest

Ertl

et al. 2016

Computer Graphics Forum

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We present a novel and efficient technique to extract Lagrangian coherent structures in two-dimensional time-dependent vector fields. We show that this can be achieved by employing bifurcation line extraction in the space-time representation of the vector field, and generating space-time bifurcation manifolds therefrom. To show the utility and applicability of our approach, we provide an evaluation of existing extraction techniques for Lagrangian coherent structures, and compare them to our approach.

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