A bivariate C1 subdivision scheme based on cubic half-box splines

Pieter Barendrecht, Malcolm Sabin, Jiri Kosinka*

*Bijbehorende auteur voor dit werk

Onderzoeksoutput: ArticleAcademicpeer review

3 Citaten (Scopus)
65 Downloads (Pure)


Among the bivariate subdivision schemes available, spline-based schemes, such as Catmull-Clark and Loop, are the most commonly used ones. These schemes have known continuity and can be evaluated at arbitrary parameter values. In this work, we develop a C-1 spline-based scheme based on cubic half-box splines. Although the individual surface patches are triangular, the associated control net is three-valent and thus consists in general of mostly hexagons. In addition to introducing stencils that can be applied in extraordinary regions of the mesh, we also consider boundaries. Moreover, we show that the scheme exhibits ineffective eigenvectors. Finally, we briefly consider architectural geometry and isogeometric analysis as selected applications.
Originele taal-2English
Pagina's (van-tot)77-89
Aantal pagina's13
TijdschriftComputer aided geometric design
Vroegere onlinedatum4-apr.-2019
StatusPublished - mei-2019

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