Name
Abstract | ||
|---|---|---|
The generation of discrete stream surfaces is an important and challenging task in scientific visualization, which can be considered a particular instance of geometric modeling. The quality of numerically integrated stream surfaces depends on a number of parameters that can be controlled locally, such as time step or distance of adjacent vertices on the front line. In addition there is a parameter that cannot be controlled locally: stream surface meshes tend to show high quality, well-shaped elements only if the current front line is “globally” approximately perpendicular to the flow direction. We analyze the impact of this geometric property and present a novel solution – a stream surface integrator that forces the front line to be perpendicular to the flow and that generates quad-dominant meshes with well-shaped and well-aligned elements. It is based on the integration of a scaled version of the flow field, and requires repeated minimization of an error functional along the current front line. We show that this leads to computing the 1-dimensional kernel of a bidiagonal matrix: a linear problem that can be solved efficiently. We compare our method with existing stream surface integrators and apply it to a number of synthetic and real world data sets. © 2012 Wiley Periodicals, Inc. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1111/j.1467-8659.2012.03177.x | Comput. Graph. Forum |
Keywords | Field | DocType |
stream surface parametrization,flow field,flow direction,flow-orthogonal front lines,front line,current front line,integrated stream surface,stream surface mesh,geometric modeling,geometric property,discrete stream surface,stream surface integrator,surface,solid | Kernel (linear algebra),Computer vision,Perpendicular,Polygon mesh,Parametrization,Computer science,Geometric modeling,Integrator,Theoretical computer science,Bidiagonal matrix,Minification,Artificial intelligence | Journal |
Volume | Issue | ISSN |
31 | 5 | 0167-7055 |
Citations | PageRank | References |
5 | 0.43 | 18 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maik Schulze | 1 | 44 | 3.84 |
| Tobias Germer | 2 | 147 | 8.02 |
| Christian Rössl | 3 | 449 | 33.65 |
| Holger Theisel | 4 | 1479 | 99.18 |