Mesh quality measures how suitable the cells of a mesh are for a numerical or geometric application. There is no single universal quality measure.
Common measures penalize small angles, large ratios of longest to shortest characteristic
lengths, or departure from a regular reference cell.
Quality requirements are commonly imposed during mesh generation because poorly shaped cells can degrade the accuracy or conditioning
of the finite element method. A quality measure
is normally chosen to match the cell type and the numerical method in which the mesh
will be used.
Bern, M. and Plassmann, P. "Mesh Generation." Ch. 6 in Handbook
of Computational Geometry. (Ed. J.-R. Sack and J. Urrutia). Amsterdam,
Netherlands: North-Holland, pp. 291-332, 2000.Botsch, M.; Kobbelt,
L.; Pauly, M.; Alliez, P.; and Lévy, B. Polygon
Mesh Processing. Natick, MA: A K Peters, 2010.
