A New Class of Odd-Point Ternary Non-Stationary Schemes
Ghulam Mustafa *
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.
Mehwish Bari
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
In this paper we generate a new family of odd point ternary non-stationary interpolating subdivision schemes by using Lagrange identities. It is to be observed that the limiting ellipse, generated by proposed schemes compared to the existing non-stationary interpolating schemes, has less deviation from being an exact ellipse. The proposed non-stationary schemes are asymptotically equivalent to converging stationary schemes [1,2,3,4,5,6]. The performance and comparison of the schemes are verified by examples.
Keywords: Subdivision, interpolation, non-stationary, smoothness, tension control, conics reproduction.