Constrained Tetrahedral Subdivision for Arbitrary Polygonal Prismatic Meshes | Zendy

Xiaotian Yin | Zendy; Yang Guo | Zendy; Jian Li | Zendy; Xianfeng Gu | Zendy

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Constrained Tetrahedral Subdivision for Arbitrary Polygonal Prismatic Meshes

Author(s) -

Xiaotian Yin,

Yang Guo,

Jian Li,

Xianfeng Gu

Publication year - 2017

Publication title -

procedia engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.32

H-Index - 74

ISSN - 1877-7058

DOI - 10.1016/j.proeng.2017.09.788

Subject(s) - subdivision , polygon mesh , tetrahedron , boundary (topology) , subdivision surface , topology (electrical circuits) , mathematics , volume mesh , base (topology) , computer science , geometry , mesh generation , combinatorics , finite element method , mathematical analysis , structural engineering , engineering , civil engineering

We consider the tetrahedral subdivision problem for a polygonal prismatic mesh with prescribed boundary constraints and without Steiner points. We prove the necessary and sufficient conditions for the existence of solutions, and also provide algorithms to compute such a constrained subdivision if there exists one. The result applies to arbitrary k-gonal prismatic meshes and even mixed prismatic meshes, allowing arbitrary topology for the base mesh and arbitrary constraints on the boundary.

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