Constrained Rational Fractal Model Using Function Values

This research endeavors to create the Rational Cubic Fractal Interpolation Function (RCFIF) by employing an iterated function system that integrates cubic polynomial numerators and linear polynomial denominators within a rational function framework. The objective is to identify appropriate shape parameters and scaling factors, aligning the RCFIF with a predefined piecewise plane. This chapter delivers an in-depth exploration of the theoretical foundations, supplemented by numerical examples to enhance understanding and visualization.