Table of Contents
International Journal of Computational Mathematics
Volume 2014, Article ID 531562, 7 pages
http://dx.doi.org/10.1155/2014/531562
Research Article

Multiresolution Analysis Based on Coalescence Hidden-Variable Fractal Interpolation Functions

1Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India
2Department of Mathematics, Indian Institute of Science Education and Research Bhopal, Indore By-Pass Road, Bhauri, Bhopal, Madhya Pradesh 462066, India

Received 23 June 2014; Accepted 20 November 2014; Published 11 December 2014

Academic Editor: Neeraj Mittal

Copyright © 2014 G. P. Kapoor and Srijanani Anurag Prasad. 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

Multiresolution analysis arising from Coalescence Hidden-variable Fractal Interpolation Functions (CHFIFs) is developed. The availability of a larger set of free variables and constrained variables with CHFIF in multiresolution analysis based on CHFIFs provides more control in reconstruction of functions in than that provided by multiresolution analysis based only on Affine Fractal Interpolation Functions (AFIFs). Our approach consists of introduction of the vector space of CHFIFs, determination of its dimension and construction of Riesz bases of vector subspaces , consisting of certain CHFIFs in .