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TitleCubic Gradient-Based Material Interfaces (Article)
inIEEE Transactions on Visualization and Computer Graphics
Author(s) Iuri Prilepov, Harald Obermaier, Eduard Deines, Christoph Garth, Kenneth I. Joy
Keyword(s)visualization, boundary representation, computational geometry, object modeling, varying isosurface, contouring, coons patch, reconstruction, volume fraction, material interface
Year 2013
Volume19
Number10
URLhttp://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6461882
Pages1687--1699
BibTeX
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.