Abstract
Rendering and geometric modeling are two basic research areas for scientific data visualization and are also well-known in the established CAD/CAM-world. Several fundamental differences can be pointed out between CAD/CAM and scientific data visualization applications. As a result, a new class of rendering and geometric modeling algorithms especially for scientific data visualization is evolving. Depending on the characteristics of the data available, several complexity levels can be distinguished, resulting in a hierarchy of visualization problems. This hierarchical relationship is emphasized to obtain a theoretical and application independent framework for classification of visualization algorithms. An overview of the rendering and geometric modeling algorithms for scientific data visualization is given according to this framework.
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