Hierarchical Representation of Time-Varying Volume Data with "4th-root-of-2" Subdivision and Quadrilinear B-Spline Wavelets

Authors:
Lars Linsen;Valerio Pascucci;Mark A. Duchaineau;Bernd Hamann;Kenneth I. Joy
Affiliations:
-;-;-;-;-
Venue:
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Year:
2002

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Abstract

Multiresolution methods for representing data at multiple levels of detail are widely used for large-scale two- and three-dimensional data sets. We present a four-dimensional multiresolution approach for time-varying volume data. This approach supports a hierarchy with spatial and temporal scalability.The hierarchical data organization is based on 4th-root-of-2 sub-division. The n-root-of-2-subdivision scheme only doubles the overall number of grid points in each subdivision step. This fact leads to fine granularity and high adaptivity, which is especially desirable in the spatial dimensions.For high-quality data approximation on each level of detail, we use quadrilinear B-spline wavelets. We present a linear B-spline wavelet lifting scheme based on n-root-of-2 subdivisionto obtain narrow masks for the update rules. Narrow masks provide a basis for out-of-core data exploration techniques and view-dependent visualization of sequences of time steps.