Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Weighted bicubic spline interpolation to rapidly varying data
ACM Transactions on Graphics (TOG)
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Triangulation of scattered data in 3D space
Computer-Aided Design
A trivariate Powell—Sabin interpolant
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
ACM Transactions on Mathematical Software (TOMS)
A rendering algorithm for visualizing 3D scalar fields
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
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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.