Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles

Abstract-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 p...

• Type: Conference
• Year: 2007
• Where: VIS
• Authors: Miriah Meyer, Robert M. Kirby, Ross Whitaker
• Keywords: Correct Delaunay Triangulation, Delaunay Sampling Requirements, Dynamic Particles Systems, IEEE Visualization, VIS 2007, Visualization