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Visualization of Cell-Based Higher-Order Fields
May/June 2011 (vol. 13 no. 3)
pp. 84-91

Direct visualization of higher-order data avoids the error and overhead introduced by the widely used resampling approach.

1. M. Üffinger, S. Frey, and T. Ertl, "Interactive High-Quality Visualization of Higher-Order Finite Elements," Computer Graphics Forum, vol. 29, no. 2, 2010, pp. 115–136.
2. W.E. Lorensen and H.E. Cline, "Marching Cubes: A High Resolution 3D Surface Construction Algorithm," Computer Graphics (Proc. Siggraph87), vol. 21, no. 4, 1987, pp. 163–169.
3. R. Peikert and M. Roth, "The Parallel Vectors Operator: A Vector Field Visualization Primitive," Proc. IEEE Visualization, IEEE CS Press, 1999, pp. 263–270.
4. J. Helman and L. Hesselink, "Visualizing Vector Field Topology in Fluid Flows," IEEE Computer Graphics and Applications, vol. 11, no. 3, 1991, pp. 36–46.
5. S.P. Callahan et al., "Direct Volume Rendering: A 3D Plotting Technique for Scientific Data," Computing in Science & Eng., vol. 10, no. 1, 2008, pp. 88–92.
6. D.F. Wiley et al., "Ray Casting Curved-Quadratic Elements," Proc. Symp. Visualization, Eurographics Assoc., 2004, pp. 201–210.
7. B. Nelson and R.M. Kirby, "Ray-Tracing Polymorphic Multidomain Spectral/hp Elements for Isosurface Rendering," IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 1, 2006, pp. 114–125.
8. S. Bergner et al., "A Spectral Analysis of Function Composition and its Implications for Sampling in Direct Volume Visualization," IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 5, 2006, pp. 1353–1360.
9. M. Meyer et al., "Particle Systems for Efficient and Accurate High-Order Finite Element Visualization," IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 5, 2007, pp. 1015–1026.
10. A. Knoll et al., "Fast Ray Tracing of Arbitrary Implicit Surfaces with Interval and Affine Arithmetic," Computer Graphics Forum, vol. 28, no. 1, 2009, pp. 26–40.
11. C. Pagot et al., "Interactive Isocontouring of High-Order Surfaces," Proc. Schloss Dagstuhl Scientific Visualization Workshop; to appear.
12. H. Theisel and H.P. Seidel, "Feature Flow Fields," Proc. Symp. Data Visualisation, Eurographics Assoc., 2003, pp. 141–148.
13. C. Pagot et al., "Efficient Parallel Vectors Feature Extraction from High Order Data," Computer Graphics Forum, 2011; to appear.
14. F. Messine, "Extensions of Affine Arithmetic: Application to Unconstrained Global Optimization," J. Universal Computer Science, vol. 8, no. 11, 2002, pp. 992–1015.
1. G. Gassner, F. Lörcher, and C.D. Munz, "A Discontinuous Galerkin Scheme Based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions," J. of Scientific Computing, vol. 34, no. 3, 2008, pp. 260–286.
2. J.S. Hesthaven and T. Warburton, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications, Springer Verlag, 2008.

Index Terms:
Visualization, higher-order data, discontinuous Galerkin simulation, feature extraction, scientific computing
Citation:
Filip Sadlo, Markus Ãœffinger, Christian Pagot, Daniel Osmari, João Comba, Thomas Ertl, Claus-Dieter Munz, Daniel Weiskopf, "Visualization of Cell-Based Higher-Order Fields," Computing in Science and Engineering, vol. 13, no. 3, pp. 84-91, May-June 2011, doi:10.1109/MCSE.2011.53
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