Modeling and Visualization Approaches for Time-Varying Volumetric Data
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
SMI 2013: Generalized extrinsic distortion and applications
Computers and Graphics
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Fluid simulations typically produce complex three-dimensional iso-surfaces whose geometry and topology change over time. The standard way of representing such dynamic geometry is by a set of iso-surfaces that are extracted individually at certain time steps. An alternative strategy is to represent the whole sequence as a four-dimensional tetrahedral mesh. The iso-surface at a specific time step can then be computed by intersecting the tetrahedral mesh with a three-dimensional hyperplane. This not only allows to animate the surface continuously over time without having to worry about the topological changes, but also enables simplification algorithms to exploit temporal coherence. We show how to interactively render such four-dimensional tetrahedral meshes by improving previous GPU-accelerated techniques and building an out-of-core multi-resolution structure based on error-quadric simplification. As a second application we apply our framework to time-varying surfaces that result from morphing one triangle mesh into another.