Journal ArticleDOI
Comparative Visual Analysis of Lagrangian Transport in CFD Ensembles
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TLDR
This work develops a Lagrangian framework for the comparison of flow fields in an ensemble and introduces a classification space that facilitates incorporation of these properties into a common ensemble visualization.Abstract:
Sets of simulation runs based on parameter and model variation, so-called ensembles, are increasingly used to model physical behaviors whose parameter space is too large or complex to be explored automatically. Visualization plays a key role in conveying important properties in ensembles, such as the degree to which members of the ensemble agree or disagree in their behavior. For ensembles of time-varying vector fields, there are numerous challenges for providing an expressive comparative visualization, among which is the requirement to relate the effect of individual flow divergence to joint transport characteristics of the ensemble. Yet, techniques developed for scalar ensembles are of little use in this context, as the notion of transport induced by a vector field cannot be modeled using such tools. We develop a Lagrangian framework for the comparison of flow fields in an ensemble. Our techniques evaluate individual and joint transport variance and introduce a classification space that facilitates incorporation of these properties into a common ensemble visualization. Variances of Lagrangian neighborhoods are computed using pathline integration and Principal Components Analysis. This allows for an inclusion of uncertainty measurements into the visualization and analysis approach. Our results demonstrate the usefulness and expressiveness of the presented method on several practical examples.read more
Citations
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Journal ArticleDOI
Curve Boxplot: Generalization of Boxplot for Ensembles of Curves
TL;DR: A novel, nonparametric method for summarizing ensembles of 2D and 3D curves is presented and an extension of a method from descriptive statistics, data depth, to curves is proposed, which is a generalization of traditional whisker plots or boxplots to multidimensional curves.
Journal ArticleDOI
A survey of topology-based methods in visualization
Christian Heine,Heike Leitte,Mario Hlawitschka,Federico Iuricich,L. De Floriani,Gerik Scheuermann,Hans Hagen,Christoph Garth +7 more
TL;DR: The process and results of an extensive annotation for generating a definition and terminology for topology‐based visualization are described, which enabled a typology for topological models which is used to organize research results and the state of the art.
Journal ArticleDOI
Visualization and Visual Analysis of Ensemble Data: A Survey
TL;DR: This paper study ensemble visualization works in the recent decade, and categorize them from two perspectives: (1) their proposed visualization techniques; and (2) their involved analytic tasks.
Journal ArticleDOI
A Survey of Colormaps in Visualization
Liang Zhou,Charles Hansen +1 more
TL;DR: This survey attempts to provide readers with a comprehensive review of colormap generation techniques and provides readers a taxonomy which is helpful for finding appropriate techniques to use for their data and applications.
Journal ArticleDOI
Streamline Variability Plots for Characterizing the Uncertainty in Vector Field Ensembles
TL;DR: A new method to visualize from an ensemble of flow fields the statistical properties of streamlines passing through a selected location, and makes use of the principal component representation to introduce a new concept of streamline-median, based on existing median concepts in multidimensional Euclidean spaces.
References
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Book
Robust Statistics: Theory and Methods
TL;DR: Robust Statistics enables the reader to select and use the most appropriate robust method for their particular statistical model, and describes the theoretical and operational aspects of robust methods separately, so the reader can choose to focus on one or the other.
Journal ArticleDOI
Volume rendering
TL;DR: A technique for rendering images of volumes containing mixtures of materials is presented, which allows both the interior of a material and the boundary between materials to be colored.
Proceedings ArticleDOI
Imaging vector fields using line integral convolution
Brian Cabral,Leith Casey Leedom +1 more
TL;DR: This approach builds on several previous texture generation and filtering techniques but is unique because it is local, one-dimensional and independent of any predefined geometry or texture.
Journal ArticleDOI
Distinguished material surfaces and coherent structures in three-dimensional fluid flows
TL;DR: In this article, the authors prove the existence of finite-time attracting and repelling material surfaces and lines in three-dimensional unsteady flows and characterize coherent structures as local maximizers of the largest finite time Lyapunov exponent field computed directly from particle paths.
Journal ArticleDOI
Multidimensional transfer functions for interactive volume rendering
TL;DR: An important class of 3D transfer functions for scalar data is demonstrated, and the application of multi-dimensional transfer functions to multivariate data is described, and a set of direct manipulation widgets that make specifying such transfer functions intuitive and convenient are presented.