Efficient contouring on unstructured meshes.
Published: 2004
Language: eng
Number of pages: 66
Description: A PCI (Pure Cubic Interpolant) is a piecewise bicubic polynomial interpolant over an unstructured mesh based on the DEI (Differential Equation Interpolant) approach. It can approximate the solution of a PDE (Partial Differential Equation) at off-mesh points with the same order of accuracy as those provided by an underlying numerical PDE solver at mesh points. It satisfies the continuity property that is very important in the visualization area. In addition to continuity, the PCI is efficient in terms of time and accuracy. We compare the PCI with the ADEI (Alternate Differential Equation Interpolant) and some other DEI-based interpolants. Furthermore, we introduce three fast contouring algorithms based on the PCI and an underlying unstructured mesh. Unlike standard contouring functions, our contouring algorithms do not need a fine structured approximation and work efficiently with the original scattered data.
Notes: Adviser:  Wayne Enright.

Thesis (M.Sc.)--University of Toronto, 2004.

Electronic version licensed for access by U. of T. users.

Source: Masters Abstracts International, Volume: 43-03, page: 0875.

MICR copy on microfiche (1 microfiche).