Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
A data reduction scheme for triangulated surfaces
Computer Aided Geometric Design
Data point selection for piecewise linear curve approximation
Computer Aided Geometric Design
A topology modifying progressive decimation algorithm
VIS '97 Proceedings of the 8th conference on Visualization '97
Smooth hierarchical surface triangulations
VIS '97 Proceedings of the 8th conference on Visualization '97
Progressive tetrahedralizations
Proceedings of the conference on Visualization '98
Simplification of Tetrahedral meshes with accurate error evaluation
Proceedings of the conference on Visualization '00
Hardware-accelerated volume and isosurface rendering based on cell-projection
Proceedings of the conference on Visualization '00
Topology preserving and controlled topology simplifying multiresolution isosurface extraction
Proceedings of the conference on Visualization '00
High-quality unstructured volume rendering on the PC platform
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
A two-step approach for interactive pre-integrated volume rendering of unstructured grids
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
TetFusion: an algorithm for rapid tetrahedral mesh simplification
Proceedings of the conference on Visualization '02
Exploring scalar fields using critical isovalues
Proceedings of the conference on Visualization '02
Multiresolution Representation and Visualization of Volume Data
IEEE Transactions on Visualization and Computer Graphics
Constructing Hierarchies for Triangle Meshes
IEEE Transactions on Visualization and Computer Graphics
Simplification of Tetrahedral Meshes with Error Bounds
IEEE Transactions on Visualization and Computer Graphics
Volume Decimation of Irregular Tetrahedral Grids
CGI '99 Proceedings of the International Conference on Computer Graphics
LoD Volume Rendering of FEA Data
VIS '04 Proceedings of the conference on Visualization '04
Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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The goal of this work is to simplify volumetric datasets while preserving the sharp boundary features and the topology of the 3D scalar field. The simplification is performed on the volumetric datasets defined as a tetrahedral mesh. The sharp boundary features are detected and preserved in the simplification to conserve the salient details of the tetrahedral mesh. The topology of the 3D scalar field is preserved by maintaining critical points extracted from the original dataset. No critical vertices are removed or generated during the simplification process. A gradient magnitude based error metric is used to estimate the error associated with a simplification step. The simplified tetrahedral mesh is rendered using a hardware-accelerated unstructured volume rendering algorithm. This method produces results which are visually similar to the original dataset.