Table of Contents
ISRN Mathematical Analysis
Volume 2012, Article ID 745096, 8 pages
http://dx.doi.org/10.5402/2012/745096
Research Article

Odd-Ary Approximating Subdivision Schemes and RS Strategy for Irregular Dense Initial Data

Department of Mathematics, Lock Haven University, Lock Haven, PA 17745, USA

Received 29 January 2012; Accepted 22 April 2012

Academic Editors: A. Bastos and S. Zhang

Copyright © 2012 Muhammad Aslam and W. P. Abeysinghe. 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.

Abstract

We investigate the implementation of approximating subdivision schemes on noisy or irregular initial control data. Presence of noise in the initial data generates oscillatory curves by subdivision schemes. To reduce or completely eliminate these oscillations, we combine subdivision schemes with other noise removal schemes such as variational regularization method. This setup will allow us to produce the limit curve with less oscillations and still stay as close as possible to the initial data points.