$C^1$ analysis of 2D subdivision schemes refining point-normal pairs with the circle average
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2018-05-21 v2
Abstract
This article continues the investigation started in [9] on subdivision schemes refining 2D point-normal pairs, obtained by modifying linear subdivision schemes using the circle average. While in [9] the convergence of the Modified Lane-Riesenfeld algorithm and the Modified 4-Point schemes is proved, here we show that the curves generated by these two schemes are .
Keywords
Cite
@article{arxiv.1802.07555,
title = {$C^1$ analysis of 2D subdivision schemes refining point-normal pairs with the circle average},
author = {Evgeny Lipovetsky and Nira Dyn},
journal= {arXiv preprint arXiv:1802.07555},
year = {2018}
}
Comments
Incomplete proof