USE OF POTENTIAL FUNCTIONS IN 3D RENDERING OF FRACTAL IMAGES FROM COMPLEX FUNCTIONS

Computer graphics is important in developing fractal images visualizin g the Mandelbrot and Julia sets from a complex function, Computer rend ering is a central tool for obtaining nice fractal images, We render 3 D objects with the height of each complex point of a fractal image con sidering the diverging speed of its orbit. A potential function helps approximate this speed, We propose a new method for estimating the nor mal vector at the surface points given by a potential function. We con sider two families of functions that exhibit interesting fractal image s in a bounded region: a power function, f(alpha,c)(z) = z(alpha) + c, where alpha is a real number, and the Newton form of an equation, exp (- alpha zeta + z/zeta - z) - 1 = 0 where \zeta\ = 1 and alpha > 0.