Adaptive projection operators in multiresolution scientificvisualization

摘要

Recently multiresolution visualization methods have become annindispensable ingredient of real time interactive postprocessing. Thenenormous databases, typically coming along with some hierarchicalnstructure, are locally resolved on different levels of detail to achievena significant savings of CPU and rendering time. The method of adaptivenprojection and the corresponding operators on data functions,nrespectively are introduced. They are defined and discussed asnmathematically rigorous foundations for multiresolution data analysis.nKeeping in mind data from efficient numerical multigrid methods, thisnapproach applies to hierarchical nested grids consisting of elementsnwhich are any tensor product of simplices, generated recursively by annarbitrary, finite set of refinement rules from some coarse grid. Thencorresponding visualization algorithms, e.g., color shading on slices ornisosurface rendering, are confined to an appropriate depth firstntraversal of the grid hierarchy. A continuous projection of the datanonto an adaptive, extracted subgrid is thereby calculated recursively.nThe presented concept covers different methods of local errornmeasurement, time dependent data which have to be interpolated from ansequence of key frames, and a tool for local data focusing. Furthermore,nit allows for a continuous level of detail