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Thank Xiangmin Jiao for specification of input model.

Initial tetrahedral mesh has 33,970 vertices, all on the boundary surface.

Triangular surface mesh of the initial mesh.

There are 10,119 tetrahedral elements with minimum dihedral angle less than five degree.

After sink-insertion, 2,250 small slivers survived.

There are 39 slivers left after sliver-exudation.
Number of tetrahedra is decreased from 610,463 to 593,098.
Overall distribution of minimum dihedral angle is also improved.