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Linear Complexity Hexahedral Mesh Generation

David Eppstein
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Abstract

We show that any polyhedron forming a topological ball with an even number of quadrilateral sides can be partitioned into O(n) topological cubes, meeting face to face. The result generalizes to non-simply-connected polyhedra satisfying an additional bipartiteness condition. The same techniques can also be used to reduce the geometric version of the hexahedral mesh generation problem to a finite case analysis amenable to machine solution.

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David Eppstein. 1998-09-26. Linear Complexity Hexahedral Mesh Generation. https://doi.org/10.1016/s0925-7721(98)00032-7

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