What is Face Quality?

Face Quality represents a value that is given for the quality of triangulated faces on a surface mesh.

The value that is given for face quality is determined by:

Figure 1. EQUATION_DISPLAY
facequality=factor×rR
(84)

where:

factor = 2.0

r = triangle inradius

R = triangle circumradius

The triangle inradius, r, is calculated using:

Figure 2. EQUATION_DISPLAY
r=As
(85)

where:

A = triangle area

s = triangle half perimeter

The triangle circumradius, R, is calculated using:

Figure 3. EQUATION_DISPLAY
R=a×b×c4×A
(86)

where:

a, b, and c are the lengths of the triangle edges.

You can use the FaceQuality field function to display the face quality values on faces of a surface mesh. See Surface Meshing Field Functions Reference.