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Visualization of Time-Dependent Adaptive Mesh Refinement Data

Please always quote using this URN: urn:nbn:de:0297-zib-7384
  • Analysis of phenomena that simultaneously occur on quite different spatial and temporal scales require adaptive, hierarchical schemes to reduce computational and storage demands. For data represented as grid functions, the key are adaptive, hierarchical, time-dependent grids that resolve spatio-temporal details without too much redundancy. Here, so-called AMR grids gain increasing popularity. For visualization and feature identification/tracking, the underlying continuous function has to be faithfully reconstructed by spatial and temporal interpolation. Well designed interpolation methods yield better results and help to reduce the amount of data to be stored. We address the problem of temporal interpolation of AMR grid data, e.g.\ for creation of smooth animations or feature tracking. Intermediate grid hierarchies are generated by merging the cells on all refinement levels that are present in the key frames considered. Utilizing a clustering algorithm a structure of nested grids is induced on the resulting collection of cells. The grid functions are mapped to the intermediate hierarchy, thus allowing application of appropriate interpolation techniques.

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Author:Ralf Kähler, Hans-Christian HegeORCiDGND
Document Type:ZIB-Report
Tag:AMR; multi-resolution techniques; non-conforming hexahedral grids
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D18 Computer graphics, image analysis, and computational geometry [See also 51N05, 68U05]
CCS-Classification:I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.7 Three-Dimensional Graphics and Realism
Date of first Publication:2003/06/18
Series (Serial Number):ZIB-Report (03-16)
Published in:Parts of this report have been published in: Ralf Kähler, Steffen Prohaska, Andrei Hutanu, Hans-Christian Hege. Visualization of Time-Dependent Remote Adaptive Mesh Refinement Data. In: Proc. IEEE Visualization 2005, Oct. 2005, Minneapolis, USA, 2005, pp. 175-182
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