Identification and Preservation of Surface Features
Baker, Timothy J.
Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.299-310, September 19-22 2004
13th International Meshing Roundtable
Willimasburg, Virginia, USA
September 19-22, 2004
Dept. of MAE, Princeton University, Princeton, NJ, U.S.A.
A surface is often approximated by a network of triangular facets. In the absence of a precise mathematical description
of the underlying surface all information about surface properties such as smoothness and curvature must be inferred
from the triangulation itself. Enrichment and coarsening of the surface geometry, for example, can only be carried
out if singular features, where C1 continity is lost, are properly accounted for. In the absence of a well defined surface
geometry it is necessary to extract these features and establish suitable data structures so that the features persist
after enrichment and/or coarsening of the triangulation. This paper describes a feature extraction scheme that is
based on estimates of the local normals and principal curvatures at each mesh point. The feature extraction scheme
has been combined with an algorithm that adapts a tetrahedral mesh by the selective enrichment and coarsening of
both the volume and surface triangulation.
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