Experiments with generating escape time fractals in julia
In general escape time fractals are
generated by plotting the set of points
in the complex plane where iteration of some
function
Depending on the function
Colorings can be added e.g. based on the number of iterations is takes a point to escape (see histogram colouring).
Alternatively, colours can be selected from a map (such as an image) using an orbit trap.
If
Probability distribution of the orbits of points that do escape to infinity
under iteration of the function:
Using different numbers of maximum iterations for each channel in
an RGB image:
We can animate the julia sets by varying
Similarly, using an image for an orbit trap and using the same trajectory
of