Feature preserved volume simplification
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Simplification of Three-Dimensional Density Maps
IEEE Transactions on Visualization and Computer Graphics
Comparative Flow Visualization
IEEE Transactions on Visualization and Computer Graphics
Quadric-based simplification in any dimension
ACM Transactions on Graphics (TOG)
Interactive particle tracing in time-varying tetrahedral grids
EG PGV'11 Proceedings of the 11th Eurographics conference on Parallel Graphics and Visualization
An integrated pipeline of decompression, simplification and rendering for irregular volume data
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Simplification of unstructured tetrahedral meshes by point sampling
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
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Rendering highly complex models can be time and space prohibitive, and decimation is an important tool in providing simplifications. A decimated model may replace the original entirely or provide level-of-detail approximations.While considerable work has been done on decimating polygonal surfaces, little has been done on decimating polyhedral volumes. Polyhedral volumes are an alternative to the polygonal surfaces commonly used in graphical modeling. The three-dimensional grids commonly used to represent scientific data are polyhedral grids, with the further complexity that vertices not only provide geometric information but also data values for sampled locations in the data field.Here we present and evaluate, quantitatively and qualitatively, methods for rapidly decimating volumetric data defined on a tetrahedral grid. Results are compared using both direct volume rendering and isosurface rendering.A mass-based and a density-based decimation error metric are compared, and the mass-based metric is found to be superior. Grid surface vertices are decimated using a geometric error metric, as well as one of the data-based error metrics.Images produced using direct volume rendering and isosurface extraction on grids that are decimated approximately 80\% are nearly indistinguishable from similar images using the non-decimated grids, and even at 95\% decimation, the rendered images have few artifacts. Rendering speed-up depends upon the renderer used.