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Thank Xiangmin Jiao for specification of input model.

Initial tetrahedral mesh has 26,756 vertices, all on the boundary surface.

Triangular surface mesh of the initial mesh.

There are 2,861 tetrahedral elements with minimum dihedral angle less than five degree.

After sink-insertion, 1,771 small slivers survived.

There are 36 slivers left after sliver-exudation.
Number of tetrahedra is decreased from 259,904 to 251,719.
Overall distribution of minimum dihedral angle is also improved.