The Aspect Ratio 3D mesh quality criterion calculates
the same parameter as the Aspect ratio
criterion, but it is applied to 3D mesh elements: tetrahedrons, pentahedrons,
hexahedrons, etc.
The Aspect
Ratio of a tetrahedron
3D element is calculated by the formula:
,
where SK is the sum of surfaces of the faces of К and VK is the volume of К :
T
Other element types like quadrangle, pentahedron and hexahedron use the following formula:
, where Qi represents the value of Qk for all possible simplexes (of the
same dimension as the element) that compose the element.
For example, a hexahedron is split in 6 tetrahedrons, the Aspect ratio 3D is calculated for each of them, then the greatest Qk is considered to be the Aspect ratio 3D criterion for the whole hexahedron.
To apply the Aspect Ratio 3D quality criterion to your mesh:
1. Display your mesh in the viewer.
2. Choose Controls
> Aspect Ratio 3D or click 
button of the toolbar.
Your mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:
See Also a sample TUI Script of an Aspect Ratio 3D quality control operation.