Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter

摘要

In this paper, the fractal curves and surfaces of ternary 4-point interpolatory subdivision scheme are developed and analyzed. The fractal range of the tension parameter has also been determined. The behavior of fractal curves and surfaces corresponding to different values of parameter has been depicted through six examples which offers direct means for an effective generation of subdivision fractals. The real life applications of the proposed fractal subdivision scheme has also been demonstrated.