Scalable computation of streamlines on very large datasets
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis
Constructing streak surfaces for 3D unsteady vector fields
Proceedings of the 26th Spring Conference on Computer Graphics
Topologically relevant stream surfaces for flow visualization
Proceedings of the 25th Spring Conference on Computer Graphics
Automatic Stream Surface Seeding: A Feature Centered Approach
Computer Graphics Forum
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum
Stream Surface Parametrization by Flow-Orthogonal Front Lines
Computer Graphics Forum
Interactive particle tracing in time-varying tetrahedral grids
EG PGV'11 Proceedings of the 11th Eurographics conference on Parallel Graphics and Visualization
Technical Section: Surface-based flow visualization
Computers and Graphics
Volume deformations in grid-less flow simulations
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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We present a novel approach for the direct computation of integral surfaces in time-dependent vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of existing techniques. We first describe an algorithm for surface integration that approximates a series of time lines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. Our approach allows a highly accurate treatment of very large time-varying vector fields in an efficient, streaming fashion. We examine the properties of the presented methods on several example datasets and perform a numerical study of its correctness and accuracy. Finally, we investigate some visualization aspects of integral surfaces.