Ashraf, PakeezaGhaffar, AbdulBaleanu, DumitruSehar, IremNisar, Kottakkaran SooppyKhan, Faheem2021-01-282021-01-282020Ashraf, Pakeeza...et al. (2020). "Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme", Mathematics, Vol. 8, No. 5.2227-7390http://hdl.handle.net/20.500.12416/4478In 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.eninfo:eu-repo/semantics/openAccessInterpolatingSubdivision SchemeShape PreservationLimit CurveArticle8510.3390/math8050806