A multisided C-2 B-spline patch over extraordinary vertices in quadrilateral meshes

Gerben J. Hettinga*, Jiří Kosinka

*Corresponding author for this work

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We propose a generalised B-spline construction that extends uniform bicubic B-splines to multisided regions spanned over extraordinary vertices in quadrilateral meshes. We show how the structure of the generalised Bezier patch introduced by Varady et al. can be adjusted to work with B-spline basis functions. We create ribbon surfaces based on B-splines using special basis functions. The resulting multisided surfaces are C-2 continuous internally and connect with G(2) continuity to adjacent regular and other multisided B-splines patches. We visually assess the quality of these surfaces and compare them to Catmull-Clark limit surfaces on several challenging geometrical configurations. (C) 2020 The Author(s). Published by Elsevier Ltd.

Original languageEnglish
Article number102855
Number of pages9
JournalComputer-Aided design
Early online date8-May-2020
Publication statusPublished - Oct-2020
EventSymposium on Solid and Physical Modeling (SPM) collocated with the Shape Modeling International Conference (SMI) -
Duration: 2-Jun-20204-Jun-2020


  • Multisided patch
  • B-spline
  • Extraordinary vertex

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