carrier image

Singularities in Parametric Meshing

Aubry, Romain, Kaan Karamete, Eric Mestreau, and Saikat Dey

21st International Meshing Roundtable, Springer-Verlag, pp.225-241, October 7-10 2012


21st International Meshing Roundtable
San Jose, CA
October 7-10,2012

Sotera Defense Solutions, 1501 Farm Credit Drive, Suite 2300, McLean, VA 22102-5011

A parametric meshing technique is presented with special emphasis to singularities in the parametric mapping. Singularities are locations where the parametric mapping is highly distorted or even singular. In a NURBS context, this arises when control points are clustered into the same location in three dimensions. Limitations of parametric plane meshing in this context are highlighted, and zero- and first-order surface approximations are commented. In the context of the DOD CREATE-MG project, different CAD kernels and mesh generators communicate as plugins through application programming interfaces (API) . The parametric mesh generator is coupled to the CAD through the Capstone APIs and is independent of a particular CAD kernel. Some CAD kernels do not allow these geometrical constructions while some tolerate it. It is therefore a necessity to handle these degenerate cases properly. Examples illustrate the method 's capabilities.

Download Full Paper (PDF Format)

Contact author(s) or publisher for availability and copyright information on above referenced article