Numerical simulation in fluid dynamics: a practical introduction
Numerical simulation in fluid dynamics: a practical introduction
A tetrahedra-based stream surface algorithm
Proceedings of the conference on Visualization '01
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '93 Proceedings of the 4th conference on Visualization '93
Topological Segmentation in Three-Dimensional Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Point-based stream surfaces and path surfaces
GI '07 Proceedings of Graphics Interface 2007
Surface techniques for vortex visualization
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Lagrangian visualization of flow-embedded surface structures
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
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
Technical Section: Surface-based flow visualization
Computers and Graphics
Topology aware stream surfaces
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
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We introduce a novel technique for the construction of smooth stream surfaces of 4th order precision. While common stream surface techniques use linear interpolation for generating seed points for new streamlines in the refinement phase, we use Hermite interpolation. The derivatives needed for Hermite interpolation are obtained by integration along the streamlines. This yields stream surfaces of 4th order precision. Additionally, we analyse the accuracy of the well known Hultquist approach and our new algorithm and proof that Hultquist's method is exact for linear vector fields. We compare both methods using the well known distance based and a novel error based refinement strategy. Our resulting surface is C1-continuous, enabling improved rendering among other benefits.