An Adaptive Parametric Surface Mesh Generation Method Guided by Curvatures
Siqueira, Daniel M.B. de, Markos O. Freitas, Joaquim B. Cavalcante-Neto, Creto A. Vidal, and Romildo J. da Silva
22nd International Meshing Roundtable, Springer-Verlag, pp.425-443, October 13-16 2013
22nd International Meshing Roundtable
Orlando, FL
October 13-16,2013
Department of Computing, Federal University of Ceara
Department of Mathematics, Federal University of Ceara
Email: {siqueira,markos,joaquimb,cvidal}@lia.ufc.br, rjsdusk@gmail.com
Summary
This work presents an adaptive mesh generation strategy for
parametric surfaces. The proposed strategy is controlled by curvatures and
the error measured between the analytical and discrete curvatures guides the
adaptive process. The analytical curvature is a mathematical representation
that models the domain, whereas the discrete curvature is an approximation
of that curvature and depends directly on the used mesh. The proposed
strategy presents the following aspects: it is able to refine and coarsen regions
of the mesh; it considers the local error measures to ensure good global
quality; it ensures good transition of the mesh and it deals with any type of
parametric surfaces since it works in the parametric space.
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