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Multi-Tissue Tetrahedral Image-to-Mesh Conversion with Guaranteed Quality and Fidelity

 

Andrey Chernikov and Nikos Chrisochoides.

 

Published in SIAM Journal on Scientific Computing, Volume 33, No. 6, pages 3491 -- 3508, 2011

 

Abstract

 

We present a novel algorithm for tetrahedral mage-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.