4.7 Article

Optimized dual interpolating subdivision schemes

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 458, 期 -, 页码 -

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2023.128215

关键词

univariate subdivision; interpolation; dual schemes

向作者/读者索取更多资源

This study examines the non-stepwise interpolation property and memory loss phenomenon of the recently introduced dual interpolating subdivision schemes. It identifies new differences between schemes with odd and even dilation factors, showing that odd dilation factors have a 2-step interpolation property, while even dilation factors result in completely non-stepwise interpolation processes. These findings are utilized to develop an optimized non-uniform level dependent implementation of dual interpolating schemes to overcome the computational drawback caused by memory loss.
This work investigates the non-stepwise interpolation property of the recently introduced class of dual interpolating subdivision schemes, and the loss of memory phenomenon that comes with it. New differences between schemes having an odd and an even dilation factors are highlighted. In particular, dual interpolating schemes having an odd dilation factor are proven to satisfy a 2-step interpolation property, while an even dilation factor corresponds to a completely non-stepwise interpolation process. These facts are exploited to define an optimized non-uniform level dependent implementation of dual interpolating schemes in order to overcome the computational drawback due to the loss of memory. & COPY; 2023 Elsevier Inc. All rights reserved.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据