A simple formula for quad mesh singularities

Harold J. Fogg, Liang Sun, Jonathan E. Makem, Cecil G. Armstrong, Trevor T. Robinson

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)
42 Downloads (Pure)


A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) mesh of a face or surface region after the mesh properties have been assigned on the face's boundaries and according to the face's Euler Characteristic. The formula is derived from Bunin's Continuum Theory for Unstructured Mesh Generation [1].

Original languageEnglish
Pages (from-to)14-26
Number of pages13
JournalProcedia Engineering
Early online date18 Oct 2017
Publication statusPublished online - 18 Oct 2017
Event26th International Meshing Roundtable, IMR 2017 - Barcelona, Spain
Duration: 18 Sept 201721 Sept 2017


  • all-quad mesh
  • cross-field
  • singularities


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