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Chand, A.K.B. (2004) A Study on Coalescence and Spline Fractal Interpolation Funtions. Ph.D. Dissertation, Department of Mathematics, Indian Institute of Technology, Kanpur.

has been cited by the following article:

• TITLE: Graph-Directed Coalescence Hidden Variable Fractal Interpolation Functions

  AUTHORS: Md. Nasim Akhtar, M. Guru Prem Prasad

  KEYWORDS: Iterated Function System, Graph-Directed Iterated Function System, Fractal Interpolation Functions, Coalescence Hidden Variable FIFs

  JOURNAL NAME: Applied Mathematics, Vol.7 No.4, March 10, 2016

  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.