TetGen example: Heart
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The input surface mesh, 3588 nodes, 7620 triangles.
A cut through of the input surface mesh shows the internal boundary.
The final mesh, 75006 nodes, 332544
tetrahedra, and 90878 boundary faces.
Algorithmic Informations
Constructing Delaunay tetrahedrization.
Total flips: 110901, where T23 59182, T32 51719, T22 0, T44 0
Delaunay seconds: 1.46
Perturbing vertices.
0 break points are inserted.
Delaunizing segments.
3609 protect points are inserted.
Constraining facets.
The biggest cavity: 28 faces, 16 vertices
Enlarged 0 times
Segment and facet seconds: 1.66
Removing unwanted tetrahedra.
Hole seconds: 0.04
Removing degenerate tets.
0 degeneracies are removed.
Repair seconds: 0.01
Adding Steiner points to enforce quality.
Marking sharp subfaces.
931 subfaces have been marked.
Marking skinny subfaces.
3342 subfaces have been marked.
Splitting encroached subsegments.
20504 points are inserted.
Splitting encroached subfaces.
10032 points are inserted.
Splitting bad tetrahedra.
37255 points are inserted.
Removing slivers.
1662 slivers are removed.
8 sliver(s) survived.
18 points are inserted.
Total 67809 points are inserted.
Quality seconds: 70.02
Quality Mesh Statistics
Input points: 3588
Input facets: 7620
Input holes: 0
Input regions: 0
Mesh points: 75006
Mesh tetrahedra: 332544
Mesh faces: 705850
Mesh subfaces: 90878
Mesh subsegments: 45140
Mesh quality statistics:
Smallest volume: 2.9397e-28 | Largest volume: 4.9973
Shortest edge: 8.0863e-10 | Longest edge: 4.813
Smallest dihedral: 0.36769 | Largest dihedral: 178.8869
Radius-edge ratio histogram:
< 0.707 : 2800 | 1.6 - 1.8 : 25496
0.707 - 1 : 86086 | 1.8 - 2 : 11877
1 - 1.1 : 41607 | 2 - 2.5 : 3565
1.1 - 1.2 : 40481 | 2.5 - 3 : 1924
1.2 - 1.4 : 68675 | 3 - 10 : 4257
1.4 - 1.6 : 45319 | 10 - : 457
(A tetrahedron's radius-edge ratio is its radius of circumsphere divided
by its shortest edge length)
Aspect ratio histogram:
1.1547 - 1.5 : 0 | 15 - 25 : 5057
1.5 - 2 : 0 | 25 - 50 : 1085
2 - 2.5 : 2 | 50 - 100 : 168
2.5 - 3 : 6166 | 100 - 300 : 60
3 - 4 : 75412 | 300 - 1000 : 6
4 - 6 : 179302 | 1000 - 10000 : 0
6 - 10 : 54739 | 10000 - 100000 : 0
10 - 15 : 10547 | 100000 - : 0
(A tetrahedron's aspect ratio is its longest edge length divided by the
diameter of its inscribed sphere)
Dihedral Angle histogram:
0 - 10 degrees: 7416 | 90 - 100 degrees: 61491
10 - 20 degrees: 30589 | 100 - 110 degrees: 76492
20 - 30 degrees: 79681 | 110 - 120 degrees: 64063
30 - 40 degrees: 98346 | 120 - 130 degrees: 39591
40 - 50 degrees: 74872 | 130 - 140 degrees: 24431
50 - 60 degrees: 37113 | 140 - 150 degrees: 15287
60 - 70 degrees: 4527 | 150 - 160 degrees: 9344
70 - 80 degrees: 2013 | 160 - 170 degrees: 5637
80 - 90 degrees: 33984 | 170 - 180 degrees: 211
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