Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters. Issue 4 (3rd April 2022)

• Record Type: Journal Article
• Authors: Fakhar, R.; Lamnii, A.; Nour, M. Y.; Zidna, A.
• Is Part Of: International journal of computer mathematics. Volume 99:Issue 4(2022)
• Page Start: 665
• Page End: 679
• Publication Date: 2022-04-03
• Subjects: Non-stationary subdivision scheme -- tension parameter -- hyperbolic trigonometric B-splines; 41A15 -- 42A10 -- 65D10 -- 65D17; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1926453
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, we propose a new family of non-stationary subdivision scheme, based on mixed trigonometric hyperbolic B-spline basis functions with two tension and one shape parameters. We prove that the proposed subdivision scheme of order k produces C k − 2 -continuous limit curves. By assigning appropriate values to the two tension and shape parameters, many known subdivision schemes are special cases of our approach. Several variants of non-stationary subdivision schemes are discussed, and numerical examples illustrate their performances.