Some Results about the Quality of Planar Mesh Elements - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2002

Some Results about the Quality of Planar Mesh Elements


In this report are presented some new results about both triangle and planar quadrangle quality measures. First, in the context of triangular mesh optimization based on control over edge lenghts, the relations between the edge ratio and the usual shape quality measure are fully examined. Second, a modification of the norm is proposed, in order to comply with the case where the reference element is no longer equilateral, but a right isosceles triangle. Third, generalizations of and to planar quadrangle quality measure are proposed and justified, and their limitations, depending on the user expectations, are exhibited, justifying the use of a more complex quality measure. Finally, a natural use of the norm for quadrangular elements is proposed.


Other [cs.OH]
Fichier principal
Vignette du fichier
RR-4436.pdf (340.53 Ko) Télécharger le fichier

Dates and versions

inria-00072152 , version 1 (23-05-2006)


  • HAL Id : inria-00072152 , version 1


Philippe P. Pébay. Some Results about the Quality of Planar Mesh Elements. [Research Report] RR-4436, INRIA. 2002. ⟨inria-00072152⟩
38 View
69 Download


Gmail Facebook Twitter LinkedIn More