Dualization

Dualization is the process of using a primal mesh to construct a dual mesh. Dualization can be performed on 2D/3D surface meshes composed of quadrilateral elements, and 3D volumetric meshes composed of hexahedral elements. Both quadrilateral and hexahedral elements will be discussed.

Circle

Consider a boundary of a circle defined by discrete (x, y) points.

Sphere

Consider a boundary of a sphere defined by a discrete triangular tesselation.

References

• https://github.com/sandialabs/sibl/blob/master/geo/doc/quadtree.md
• https://github.com/sandialabs/sibl/blob/master/geo/doc/dual_quad_transitions.md