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DOI: 10.4230/DFU.Vol2.SciViz.2011.260

Generation of Adaptive Streak Surfaces Using Moving Least Squares

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

Published in: Dagstuhl Follow-Ups, Volume 2, Scientific Visualization: Interactions, Features, Metaphors (2011)

Abstract

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.

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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)

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@InCollection{obermaier_et_al:DFU.Vol2.SciViz.2011.260,
  author =	{Obermaier, Harald and Hering-Bertram, Martin and Kuhnert, J\"{o}rg and Hagen, Hans},
  title =	{{Generation of Adaptive Streak Surfaces Using Moving Least Squares}},
  booktitle =	{Scientific Visualization: Interactions, Features, Metaphors},
  pages =	{260--275},
  series =	{Dagstuhl Follow-Ups},
  ISBN =	{978-3-939897-26-2},
  ISSN =	{1868-8977},
  year =	{2011},
  volume =	{2},
  editor =	{Hagen, Hans},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DFU.Vol2.SciViz.2011.260},
  URN =		{urn:nbn:de:0030-drops-32982},
  doi =		{10.4230/DFU.Vol2.SciViz.2011.260},
  annote =	{Keywords: scattered, flow, streak surface, adaptivity, moving least squares}
}

Document

DOI: 10.4230/OASIcs.VLUDS.2010.55

On Moving Least Squares Based Flow Visualization

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

Published in: OASIcs, Volume 19, Visualization of Large and Unstructured Data Sets - Applications in Geospatial Planning, Modeling and Engineering (IRTG 1131 Workshop) (2011)

Abstract

Modern simulation and measurement methods tend to produce meshfree data sets if modeling of processes or objects with free surfaces or boundaries is desired. In Computational Fluid Dynamics (CFD), such data sets are described by particle-based vector fields. This paper presents a summary of a selection of methods for the extraction of geometric features of such point-based vector fields while pointing out its challenges, limitations, and applications.

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Harald Obermaier, Martin Hering-Bertram, Jörg Kuhnert, and Hans Hagen. On Moving Least Squares Based Flow Visualization. In Visualization of Large and Unstructured Data Sets - Applications in Geospatial Planning, Modeling and Engineering (IRTG 1131 Workshop). Open Access Series in Informatics (OASIcs), Volume 19, pp. 55-63, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{obermaier_et_al:OASIcs.VLUDS.2010.55,
  author =	{Obermaier, Harald and Hering-Bertram, Martin and Kuhnert, J\"{o}rg and Hagen, Hans},
  title =	{{On Moving Least Squares Based Flow  Visualization}},
  booktitle =	{Visualization of Large and Unstructured Data Sets - Applications in Geospatial Planning, Modeling and Engineering (IRTG 1131 Workshop)},
  pages =	{55--63},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-29-3},
  ISSN =	{2190-6807},
  year =	{2011},
  volume =	{19},
  editor =	{Middel, Ariane and Scheler, Inga and Hagen, Hans},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.VLUDS.2010.55},
  URN =		{urn:nbn:de:0030-drops-30979},
  doi =		{10.4230/OASIcs.VLUDS.2010.55},
  annote =	{Keywords: Moving Least Squares, Approximation, Flow, Scientific Visualization}
}

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Generation of Adaptive Streak Surfaces Using Moving Least Squares

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On Moving Least Squares Based Flow Visualization

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