Title
Hybrid non-uniform recursive subdivision with improved convergence rates
Document Type
Article
Publication Date
8-1-2019
Abstract
This paper introduces a new non-uniform subdivision surface representation, called hybrid non-uniform subdivision surface (for short, HNUSS). The subdivision scheme is constructed through two steps. The first step inserts a set of edges and converts a valence-n extraordinary point into a valence-n face. The second step combines both primal and dual subdivision schemes to define the subdivision rules. The developed subdivision scheme generalizes bi-cubic NURBS to arbitrary topology and is proved to be G1-continuous for any valence extraordinary points and any non-negative knot intervals. The HNUSS limit surface has comparable shape quality as non-uniform subdivision via eigen-polyhedron (Li et al., 2016) and has better shape quality than all the other subdivision schemes. In addition, numerical experiments show that HNUSS based isogeometric analysis yields improved convergence rates compared to any existing non-uniform subdivision schemes.
Publication Source (Journal or Book title)
Computer Methods in Applied Mechanics and Engineering
First Page
606
Last Page
624
Recommended Citation
Li, X., Wei, X., & Zhang, Y. (2019). Hybrid non-uniform recursive subdivision with improved convergence rates. Computer Methods in Applied Mechanics and Engineering, 352, 606-624. https://doi.org/10.1016/j.cma.2019.04.036