Shape Preservation of the Stationary 4-Point Quaternary Subdivision Schemes

Authors

  • Khurram Pervez Department of Mathematics, Balochistan University of Information Technology, Engineering & Management Sciences, Quetta

DOI:

https://doi.org/10.26713/cma.v9i3.719

Keywords:

Quaternary, Approximating, Interpolating, Monotonicity, Convexity

Abstract

In this paper, the shape preserving properties of the stationary 4-point quaternary approximating and interpolating subdivision schemes of Ko [9] are fully investigated. We will analyzed what conditions should be introduced on the initial control points so that the limit curve achieved by the subdivision schemes presented in [9] are both monotonicity and convexity preserving. Conclusively the whole discussion is followed by examples.

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References

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Published

25-09-2018
CITATION

How to Cite

Pervez, K. (2018). Shape Preservation of the Stationary 4-Point Quaternary Subdivision Schemes. Communications in Mathematics and Applications, 9(3), 249–264. https://doi.org/10.26713/cma.v9i3.719

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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