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Flow-Induced Inertial Steady Vector Field Topology
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
Traditionally, vector field visualization is concerned with 2D and 3D flows. Yet, many concepts can be extended to general dynamical systems, including the higher-dimensional problem of modeling the motion of finite-sized ...
Decoupled Opacity Optimization for Points, Lines and Surfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
Displaying geometry in flow visualization is often accompanied by occlusion problems, making it difficult to perceive information that is relevant in the respective application. In a recent technique, named opacity ...
Visualization of Neural Network Predictions for Weather Forecasting
(The Eurographics Association, 2017)
Recurrent neural networks are prime candidates for learning relationships and evolutions in multi-dimensional time series data. The performance of such a network is judged by the loss function, which is aggregated into a ...
A View-Dependent and Inter-Frame Coherent Visualization of Integral Lines using Screen Contribution
(The Eurographics Association, 2011)
In vector field visualization, integral lines like stream, path, or streak lines are often used to examine the behavior of steady and unsteady flows. In 3D, however, visualizing integral lines is problematic since the ...
Parameter Space Comparison of Inertial Particle Models
(The Eurographics Association, 2018)
In many meteorological and engineering problems, the motion of finite-sized objects of non-zero mass plays a crucial role, such as in air pollution, desertification, stirring of dust during helicopter navigation, or droplets ...
Singularities of the Inertial Flow Map Gradient
(The Eurographics Association, 2016)
Inertial particles are finite-sized objects that are carried by flows, for example sand particles in air. In contrast to massless tracer particles, the trajectories of inertial particles can intersect in space-time. When ...
Trajectory Density Projection for Vector Field Visualization
(The Eurographics Association, 2013)
Trajectory visualization is an important tool to capture intrinsic characteristics of vector fields. However, often this class of geometric visualization suffers from visual clutter due to the number of curves that occlude ...
Inertial Steady 2D Vector Field Topology
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Vector field topology is a powerful and matured tool for the study of the asymptotic behavior of tracer particles in steady flows. Yet, it does not capture the behavior of finite-sized particles, because they develop inertia ...
MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Traditionally, Lagrangian fields such as finite-time Lyapunov exponents (FTLE) are precomputed on a discrete grid and are ray casted afterwards. This, however, introduces both grid discretization errors and sampling errors ...
Finite-Time Mass Separation for Comparative Visualizations of Inertial Particles
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
The visual analysis of flows with inertial particle trajectories is a challenging problem because time-dependent particle trajectories additionally depend on mass, which gives rise to an infinite number of possible ...