$(2n-1)$-POINT NONLINEAR TERNARY INTERPOLATING SUBDIVISION SCHEMES

It is a well known fact that smooth curves generated by linear interpolating schemes produce Gibbs phenomenon or oscillations near irregu- lar initial data points. Main aim of this article to introduce some nonlinear subdivision scheme which is convergent, keeps all initial data points and elimi- nates Gibbs phenomenon. We have introduced a new class of 3-point nonlinear ternary interpolating subdivision schemes which has these properties. Numeri- cal results are presented to support our claim.