Adaptive Projection Operators in Multiresolution Scientific Visualization

—Recently, multiresolution visualization methods have become an indispensable ingredient of real-time interactive postprocessing. The enormous databases, typically coming along with some hierarchical structure, are locally resolved on different levels of detail to achieve a significant savings of CPU and rendering time. Here, the method of adaptive projection and the corresponding operators on data functions, respectively, are introduced. They are defined and discussed as mathematically rigorous foundations for multiresolution data analysis. Keeping in mind data from efficient numerical multigrid methods, this approach applies to hierarchical nested grids consisting of elements which are any tensor product of simplices, generated recursively by an arbitrary, finite set of refinement rules from some coarse grid. The corresponding visualization algorithms, e.g., color shading on slices or isosurface rendering, are confined to an appropriate depthfirst traversal of the grid hierarchy. A...

• Type: Journal
• Year: 1998
• Where: TVCG
• Authors: Mario Ohlberger, Martin Rumpf
• Keywords: Multiresolution Data Analysis, Multiresolution Visualization Methods, Real-time Interactive Postprocessing, TVCG 1998