@article{Prilepov:2013:CGM,
| title | = | "Cubic Gradient-Based Material Interfaces", |
| journal | = | "IEEE Transactions on Visualization and Computer Graphics", |
| author | = | "Iuri
Prilepov AND Harald
Obermaier AND Eduard
Deines AND Christoph
Garth AND Kenneth
I. Joy ", |
| year | = | "2013", |
| keywords | = | "visualization, boundary representation, computational geometry, object modeling, varying isosurface, contouring, coons patch, reconstruction, volume fraction, material interface", |
| url | = | "http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6461882", |
| abstract | = | "Multi-fluid simulations often create volume fraction data, representing fluid volumes per region or cell of a fluid data set. Accurate and visually realistic extraction of fluid boundaries is a challenging and essential task for efficient analysis of multi-fluid data. In this work we present a new material interface reconstruction method for such volume fraction data. Within each cell of the data set, our method utilizes a gradient field approximation based on trilinearly blended Coons-patches to generate a volume-fraction function, representing the change in volume fractions over the cells. A continuously varying isovalue field is applied to this function to produce a smooth interface that preserves the given volume fractions well. Further, the method allows user-controlled balance between volume accuracy and physical plausibility of the interface. The method works on two- and three-dimensional Cartesian grids, and handles multiple materials. Calculations are performed locally and utilize only the one-ring of cells surrounding a given cell, allowing visualizations of the material interfaces to be easily generated on a GPU or in a large-scale distributed parallel environment. Our results demonstrate the robustness, accuracy and flexibility of the developed algorithms.", |