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Discrete Multi-Material Interface Reconstruction for Volume Fraction Data

  • Author(s): Anderson, John C.
  • Garth, Christoph
  • Duchaineau, Mark A.
  • Joy, Ken
  • et al.
Abstract

Material interface reconstruction (MIR) is the task of constructing boundary interfaces between regions of homogeneous material, while satisfying volume constraints, over a structured or unstructured spatial domain. In this paper, we present a discrete approach to MIR based upon optimizing the labeling of fractional volume elements within a discretization of the problem's original domain. We detail how to construct and initially label a discretization, and introduce a \emph{volume conservative swap} move for optimization. Furthermore, we discuss methods for extracting and visualizing material interfaces from the discretization. Our technique has significant advantages over previous methods: we produce interfaces between multiple materials that are continuous across cell boundaries for time-varying and static data in arbitrary dimension with bounded error.

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