IJAM: Volume 28, No. 4 (2015)

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