Guided subdivision surfaces: modeling, shape and refinability
Numerical Analysis
2017-05-30 v1
Abstract
Converting quad meshes to smooth manifolds, guided subdivision offers a way to combine the good highlight line distributions of recent G-spline constructions with the refinability of subdivision surfaces. Specifically, we present a C2 subdivision algorithm of polynomial degree bi-6 and a curvature bounded algorithm of degree bi-5. We prove that the common eigen-structure of this class of subdivision algorithms is determined by their guide and demonstrate that the eigenspectrum (speed of contraction) can be adjusted without harming the shape.
Cite
@article{arxiv.1705.09928,
title = {Guided subdivision surfaces: modeling, shape and refinability},
author = {Kestutis Karciauskas and Jörg Peters},
journal= {arXiv preprint arXiv:1705.09928},
year = {2017}
}