Work

Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme

Year: 2020

Type: article

Abstract: In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow the generation of shape-preserving limit curves by the four-point scheme. Some numerical examples are given to illustrate the graphical representation of shape-preserving properties of the relaxed scheme.

Source: Mathematics

DOI: 10.3390/math8050806

Authors: Pakeeza Ashraf, Abdul Ghaffar, Dumitru Baleanu, Irem Sehar, Kottakkaran Sooppy Nisar, Faheem Khan

Institutions: Government Sadiq College Women University, Ton Duc Thang University, Çankaya University, China Medical University, China Medical University Hospital, Institute of Space Science - INFLPR Subsidiary, Prince Sattam Bin Abdulaziz University, University of Sargodha

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,267

OpenAlex ID: W3025463558

FWCI: 1.853

Cites: 49

Cited by: 16

Related to: 10