The m-Point Quaternary Approximating Subdivision Schemes

Copyright © 2013 Shahid S. Siddiqi, Muhammad Younis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this article, the objective is to introduce an algorithm to produce the quaternary m-point (for any integer) ap-proximating subdivision schemes, which have smaller support and higher smoothness, comparing to binary and ternary schemes. The proposed algorithm has been derived from uniform B-spline basis function using the Cox-de Boor recur-sion formula. In order to determine the convergence and smoothness of the proposed schemes, the Laurent polynomial method has been used