Simplification of three-dimensional density maps

V. Natarajan, H. Edelsbrunner, IEEE Transactions on Visualization and Computer Graphics 10 (2004) 587–597.

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Abstract
We consider scientific data sets that describe density functions over three-dimensional geometric domains. Such data sets are often large and coarsened representations are needed for visualization and analysis. Assuming a tetrahedral mesh representation, we construct such representations with a simplification algorithm that combines three goals: the approximation of the function, the preservation of the mesh topology, and the improvement of the mesh quality. The third goal is achieved with a novel extension of the well-known quadric error metric. We perform a number of computational experiments to understand the effect of mesh quality improvement on the density map approximation. In addition, we study the effect of geometric simplification on the topological features of the function by monitoring its critical points.
Publishing Year
Date Published
2004-07-12
Journal Title
IEEE Transactions on Visualization and Computer Graphics
Volume
10
Issue
5
Page
587 - 597
IST-REx-ID

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Natarajan V, Edelsbrunner H. Simplification of three-dimensional density maps. IEEE Transactions on Visualization and Computer Graphics. 2004;10(5):587-597. doi:10.1109/TVCG.2004.32
Natarajan, V., & Edelsbrunner, H. (2004). Simplification of three-dimensional density maps. IEEE Transactions on Visualization and Computer Graphics, 10(5), 587–597. https://doi.org/10.1109/TVCG.2004.32
Natarajan, Vijay, and Herbert Edelsbrunner. “Simplification of Three-Dimensional Density Maps.” IEEE Transactions on Visualization and Computer Graphics 10, no. 5 (2004): 587–97. https://doi.org/10.1109/TVCG.2004.32.
V. Natarajan and H. Edelsbrunner, “Simplification of three-dimensional density maps,” IEEE Transactions on Visualization and Computer Graphics, vol. 10, no. 5, pp. 587–597, 2004.
Natarajan V, Edelsbrunner H. 2004. Simplification of three-dimensional density maps. IEEE Transactions on Visualization and Computer Graphics. 10(5), 587–597.
Natarajan, Vijay, and Herbert Edelsbrunner. “Simplification of Three-Dimensional Density Maps.” IEEE Transactions on Visualization and Computer Graphics, vol. 10, no. 5, IEEE, 2004, pp. 587–97, doi:10.1109/TVCG.2004.32.

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