  Fractal interpolation technique is an alternative to the classical
interpolation methods especially when a chaotic signal is involved. The logic
behind the formulation of an iterated function system for the construction of
fractal interpolation functions is to divide the entire interpolating domain
into subdomains and define functions on each subdomain piecewisely. The
objective of this paper is to explore the significance of the end point
conditions on the graphical representation of the resultant functions and their
numerical integration. The central problem in the formulation of the IFS, the
continuity of the fractal interpolation functions, is addressed with an
explanation on the techniques implemented to resolve the problem. Instead of an
analytical expression, the fractal interpolation functions are always
represented in terms of recursive relations. This paper further presents the
derivation of these recursive relations and proposes a straightforward method
to find the approximating function, involved in these relations.
