A bivariate C1 subdivision scheme based on cubic half-box splinesBarendrecht, P., Sabin, M. & Kosinka, J., May-2019, In : Computer aided geometric design. 71, p. 77-89 13 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||13|
|Journal||Computer aided geometric design|
|Early online date||4-Apr-2019|
|Publication status||Published - May-2019|
- Bivariate subdivision, Three-valent meshes, Honeycomb scheme, Eigenanalysis, LINEAR INDEPENDENCE, CATMULL-CLARK, SURFACES