Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Constructing material interfaces from data sets with volume-fraction information
Proceedings of the conference on Visualization '00
Counting Cases in Marching Cubes: Toward a Generic Algorithm for Producing Substitopes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Discrete multi-material interface reconstruction for volume fraction data
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
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Reconstructing boundaries along material interfaces from volume fractions is a difficult problem, especially because the under-resolved nature of the input data allows for many correct interpretations. Worse, algorithms widely accepted as appropriate for simulation are inappropriate for visualization. In this paper, we describe a new algorithm that is specifically intended for reconstructing material interfaces for visualization and analysis requirements. The algorithm performs well with respect to memory footprint and execution time, has desirable properties in various accuracy metrics, and also produces smooth surfaces with few artifacts, even when faced with more than two materials per cell.