Fractal generation using ternary 5-point interpolatory subdivision scheme

摘要

This paper is devoted to explore the generation of fractal curves and surfaces using ternary 5-point interpolatory subdivision scheme. The fractal behavior of the limiting curves and surfaces is analyzed with the help of tension parameter. It may be noted that the proposed fractal scheme determines two intervals of range of shape control parameter. The behavior of the shape control parameter for the generation of fractals has been visualized through five examples which provides faster rate of generation of fractals.