Smooth (Mandelbrot)

The Smooth (Mandelbrot) coloring algorithm creates smoothly colored outside regions with fractal formulas such as Mandelbrot and Julia.

It works with most divergent fractal formulas. For Newton and Nova fractals, use Exponential Smoothing instead.

There are two parameters available: Exponent and Bail-out value. These should be set to match the corresponding parameters of the fractal formula. Otherwise, the coloring will not be perfectly smooth.

Usually, the best results are obtained when the Transfer Function in the Outside tab is set to Log.

Smooth (Mandelbrot) is available as a coloring algorithm in Standard.ucl and as a coloring plug-in in Standard.ulb.

See Also
Standard coloring algorithms