Generation of Adaptive Streak Surfaces Using Moving Least Squares

Authors Harald Obermaier, Martin Hering-Bertram, Jörg Kuhnert, Hans Hagen

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Harald Obermaier
Martin Hering-Bertram
Jörg Kuhnert
Hans Hagen

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Harald Obermaier, Martin Hering-Bertram, Jörg Kuhnert, and Hans Hagen. Generation of Adaptive Streak Surfaces Using Moving Least Squares. In Scientific Visualization: Interactions, Features, Metaphors. Dagstuhl Follow-Ups, Volume 2, pp. 260-275, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


We introduce a novel method for the generation of fully adaptive streak surfaces in time-varying flow fields based on particle advection and adaptive mesh refinement. Moving least squares approximation plays an important role in multiple stages of the proposed algorithm, which adaptively refines the surface based on curvature approximation and circumradius properties of the underlying Delaunay mesh. We utilize the grid-less Moving Least Squares approximation method for both curvature and surface estimation as well as vector field evaluation during particle advection. Delaunay properties of the surface triangulation are guaranteed by edge flipping operations on the progressive surface mesh. The results of this work illustrate the benefit of adaptivity techniques to streak surface generation and provide the means for a qualitative analysis of the presented approach.
  • scattered
  • flow
  • streak surface
  • adaptivity
  • moving least squares


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