A level-set method for flow visualization
Rüdiger Westermann,Chris R. Johnson,Thomas Ertl +2 more
- 01 Oct 2000
- pp 147-154
TL;DR: This work combines geometrical and topological considerations to derive a multiscale representation and to implement a method for the automatic placement of a sparse set of graphical primitives depicting homogeneous streams in the fields.
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Abstract: We propose a technique for visualizing steady flow. Using this technique, we first convert the vector field data into a scalar level-set representation. We then analyze the dynamic behavior and subsequent distortion of level-sets and interactively monitor the evolving structures by means of texture-based surface rendering. Next, we combine geometrical and topological considerations to derive a multiscale representation and to implement a method for the automatic placement of a sparse set of graphical primitives depicting homogeneous streams in the fields. Using the resulting algorithms, we have built a visualization system that enables us to effectively display the flow direction and its dynamics even for dense 3D fields.
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Citations
Anisotropic diffusion of surfaces and functions on surfaces
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TL;DR: A unified anisotropic geometric diffusion PDE model for smoothing (fairing) out noise both in triangulated two-manifold surface meshes in IR3 and functions defined on these surface meshes, while enhancing curve features on both by careful choice of ananisotropic diffusion tensor is presented.
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Discrete surface modelling using partial differential equations
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Hierarchical Line Integration
TL;DR: An acceleration scheme for the numerical computation of sets of trajectories in vector fields or iterated solutions in maps, possibly with simultaneous evaluation of quantities along the curves such as integrals or extrema, suitable for parallel execution on many-core architectures like GPUs.
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Technical Section: Surface-based flow visualization
TL;DR: An up-to-date overview of the current state-of-the-art flow visualization techniques, including surface construction techniques and visualization methods applied to surfaces, with a focus on surface-based techniques.
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Time and Streak Surfaces for Flow Visualization in Large Time-Varying Data Sets
TL;DR: This work proposes a novel algorithm based on a decoupling of surface advection and surface adaptation that yields improved efficiency over other surface tracking methods, and allows us to leverage inherent parallelization opportunities in the surfaceAdvection, resulting in more rapid parallel computation.
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