A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme

This paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the conti...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-10
Main Authors: Tan, Jieqing, Tong, Guangyue
Format: Article
Language:English
Subjects:
Aircraft accidents & safety
Convexity
Mathematics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the continuous nonstationary 4-point ternary scheme is analyzed, and the limit curve is at least C2-continuous. Furthermore, the monotonicity preservation and convexity preservation are proved.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/6694241