Leo Liberti, James Ostrowski
Journal of Global Optimization
This paper describes a new computational method of fully automated anisotropic triangulation of a trimmed parametric surface. Given as input: (1) a domain geometry and (2) a 3 × 3 tensor field that specifies a desired anisotropic node-spacing, this new approach first packs ellipsoids closely in the domain by defining proximity-based interacting forces among the ellipsoids and finding a force-balancing configuration using dynamic simulation. The centers of the ellipsoids are then connected by anisotropic Delaunay triangulation for a complete mesh topology. Since a specified tensor field controls the directions and the lengths of the ellipsoids' principal axes, the method generates a graded anisotropic mesh whose elements conform precisely to the given tensor field.
Leo Liberti, James Ostrowski
Journal of Global Optimization
F.M. Schellenberg, M. Levenson, et al.
BACUS Symposium on Photomask Technology and Management 1991
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Ronen Feldman, Martin Charles Golumbic
Ann. Math. Artif. Intell.