Multitissue Tetrahedral Image-to-mesh Conversion with Guaranteed Quality and Fidelity | Zendy

Andrey N. Chernikov | Zendy; Nikos Chrisochoides | Zendy

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Multitissue Tetrahedral Image-to-mesh Conversion with Guaranteed Quality and Fidelity

Author(s) -

Andrey N. Chernikov,

Nikos Chrisochoides

Publication year - 2011

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/100815256

Subject(s) - delaunay triangulation , dihedral angle , tetrahedron , mathematics , algorithm , fidelity , image (mathematics) , mesh generation , chew's second algorithm , ruppert's algorithm , constrained delaunay triangulation , computer science , geometry , computer vision , finite element method , telecommunications , hydrogen bond , chemistry , physics , organic chemistry , molecule , thermodynamics

We present a novel algorithm for tetrahedral image-to-mesh conversion which allows for guaranteed bounds on the smallest dihedral angle and on the distance between the boundaries of the mesh and the boundaries of the tissues. The algorithm produces a small number of mesh elements that comply with these bounds. We also describe and evaluate our implementation of the proposed algorithm that is compatible in performance with a state-of-the art Delaunay code, but in addition solves the small dihedral angle problem.

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