Issue No. 06 - November/December (2007 vol. 13)
Miriah Meyer , IEEE
Robert M. Kirby , IEEE
Ross Whitaker , IEEE
This paper describes a method for constructing isosurface triangulations of sampled, volumetric, three-dimensional scalar fields. The resulting meshes consist of triangles that are of consistently high quality, making them well suited for accurate interpolation of scalar and vector-valued quantities, as required for numerous applications in visualization and numerical simulation. The proposed method does not rely on a local construction or adjustment of triangles as is done, for instance, in advancing wavefront or adaptive refinement methods. Instead, a system of dynamic particles optimally samples an implicit function such that the particles' relative positions can produce a topologically correct Delaunay triangulation. Thus, the proposed method relies on a global placement of triangle vertices. The main contributions of the paper are the integration of dynamic particles systems with surface sampling theory and PDE-based methods for controlling the local variability of particle densities, as well as detailing a practical method that accommodates Delaunay sampling requirements to generate sparse sets of points for the production of high-quality tessellations.
Isosurface extraction, particle systems, Delaunay triangulation.
Miriah Meyer, Robert M. Kirby, Ross Whitaker, "Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles", IEEE Transactions on Visualization & Computer Graphics, vol. 13, no. , pp. 1704-1711, November/December 2007, doi:10.1109/TVCG.2007.70604