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Particle Systems for Efficient and Accurate High-Order Finite Element Visualization
September/October 2007 (vol. 13 no. 5)
pp. 1015-1026
| ASCII Text | x | ||
| Miriah Meyer, Blake Nelson, Robert Kirby, Ross Whitaker, "Particle Systems for Efficient and Accurate High-Order Finite Element Visualization," IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 5, pp. 1015-1026, September/October, 2007. | |||
| BibTex | x | ||
| @article{ 10.1109/TVCG.2007.1048, author = {Miriah Meyer and Blake Nelson and Robert Kirby and Ross Whitaker}, title = {Particle Systems for Efficient and Accurate High-Order Finite Element Visualization}, journal ={IEEE Transactions on Visualization and Computer Graphics}, volume = {13}, number = {5}, issn = {1077-2626}, year = {2007}, pages = {1015-1026}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2007.1048}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Visualization and Computer Graphics TI - Particle Systems for Efficient and Accurate High-Order Finite Element Visualization IS - 5 SN - 1077-2626 SP1015 EP1026 EPD - 1015-1026 A1 - Miriah Meyer, A1 - Blake Nelson, A1 - Robert Kirby, A1 - Ross Whitaker, PY - 2007 KW - Particle systems KW - high-order finite elements KW - isosurface visualization VL - 13 JA - IEEE Transactions on Visualization and Computer Graphics ER - | |||
Visualization has become an important component of the simulation pipeline, providing scientists and engineers a visual intuition of their models. Simulations that make use of the high-order finite element method for spatial subdivision, however, present a challenge to conventional isosurface visualization techniques. High-order finite element isosurfaces are often defined by basis functions in reference space, which give rise to a world-space solution through a coordinate transformation, which does not necessarily have a closed-form inverse. Therefore, world-space isosurface rendering methods such as marching cubes and ray tracing must perform a nested root finding, which is computationally expensive. We thus propose visualizing these isosurfaces with a particle system. We present a framework that allows particles to sample an isosurface in reference space, avoiding the costly inverse mapping of positions from world space when evaluating the basis functions. The distribution of particles across the reference space isosurface is controlled by geometric information from the world-space isosurface such as the surface gradient and curvature. The resulting particle distributions can be distributed evenly or adapted to accommodate world-space surface features. This provides compact, efficient, and accurate isosurface representations of these challenging data sets.
Index Terms:
Particle systems, high-order finite elements, isosurface visualization
Citation:
Miriah Meyer, Blake Nelson, Robert Kirby, Ross Whitaker, "Particle Systems for Efficient and Accurate High-Order Finite Element Visualization," IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 5, pp. 1015-1026, Sept.-Oct. 2007, doi:10.1109/TVCG.2007.1048
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