Triangular Meshes Delaunay Conforming Filter
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Please use this identifier to cite or link to this publication: http://hdl.handle.net/1926/1489
The emph{Delaunay triangulation} is the triangulation of a set of points which maximizes the minimum angle of all angles of the triangles, and thus triangle aspect ratios. So converting a non Delaunay triangulation into a Delaunay triangulation, emph{Delaunay conforming}, improves the all triangle aspect ratios and avoid elongated triangles. Note that combining this filter with usual operations like smoothing will provide a better approximation and a better distribution a triangle aspect ratios. Here this document describes a new filter based on the $n$D $2$-manifold mesh data structure available in itk: code{itk::QuadEdgeMesh}~cite{itkQE} to produce (planar or surfacic) Delaunay triangulation from any non-Delaunay triangulation by edge flipping, by implementing the edge flipping method decribed in~cite{Dyer2007sgp}.
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Categories: CMake, Generic Programming, Mesh, Optimization
Keywords: triangular mesh, Delaunay, conformation, edge flipping
Toolkits: ITK (moved into the toolkit), CMake
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