Cartesian mesh generation technique

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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Reexamination Certificate

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08059122

ABSTRACT:
A highly accurate and robust cubic cell mesh generator “Cubegen” capable of a trillion plus cell meshes on a single processor 4-Gigabyte main memory workstation has been developed. The cells are generated in Yee format for the Finite Difference Time Domain method. Three key techniques were employed to achieve this capability: a highly efficient data storage ray tracing method, a highly accurate ray-facet intersection test, and a novel exact arithmetic tie-breaking algorithm for rays intersecting facet edges and vertices.

REFERENCES:
J. R. Shewchuk, “Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates”, 1996, CMU-CS-96-140, School of Computer Science, Carnegie Mellon University.
J. T. MacGillivray, “Trillion Cell CAD Based Cartesian Mesh Generation for the Finite Difference Time Domain Method on a 4 Gigabyte Linux Workstation”, Oct. 17, 2007, IEEE, Workshop on Computational Electromagnetics in Time-Domain, 2007. CERM-TD 2007.
Srisukh (Y. Srisukh, J. Nehrbass, F. L. Teixeira, J. F Lee, and R. Lee, An Approach for Automatic Grid Generation in Three-Dimensional FDTD Simulations of Complex Geometries.
IEEE Antenna's and Propagation Magazine, vol. 44, No. 4, pp. 75-80, Aug. 2002.

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