Applied Mathematics

Volume 7, Issue 4 (March 2016)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Graph-Directed Coalescence Hidden Variable Fractal Interpolation Functions

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DOI: 10.4236/am.2016.74031    5,322 Downloads   6,161 Views  Citations

ABSTRACT

Fractal interpolation function (FIF) is a special type of continuous function which interpolates certain data set and the attractor of the Iterated Function System (IFS) corresponding to a data set is the graph of the FIF. Coalescence Hidden-variable Fractal Interpolation Function (CHFIF) is both self-affine and non self-affine in nature depending on the free variables and constrained free variables for a generalized IFS. In this article, graph directed iterated function system for a finite number of generalized data sets is considered and it is shown that the projection of the attractors on is the graph of the CHFIFs interpolating the corresponding data sets.

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Akhtar, M. and Prasad, M. (2016) Graph-Directed Coalescence Hidden Variable Fractal Interpolation Functions. Applied Mathematics, 7, 335-345. doi: 10.4236/am.2016.74031.

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