Coloring algs that work with deep zooming and perturbation

Has anyone started a list of coloring algorithms that will work quickly with the new deep zooming capabilities? As in what makes one compatible with the perturbation method? Currently I'm just zooming in and then trying out different ones, but thought I'd throw this out there.

Also, just looking for any general advice on using coloring algs with deep zoomed fractals (mandelbrot/julia). Orbit traps and others seems to just give me weirdness, or I have to turn up settings really high. I guess I'm looking for algs that will work all the way down into a deep zoom without too much tweaking of settings like color density along the way. Hope this makes sense.

Try looking at the colorings used by the deep zooms in Deep Zooming Examples.upr. Everyone seems to use Smooth (Mandelbrot) with Linear Transfer Function and Color Density less than 1 for the main layer.

Few of of the other colorings work well at high magnifications. If you find something useful, let everyone know!

I do know that Triangle Inequality Average does not work because it needs the same precision as the location, and in UF6 coloring algorithms are always evaluated with the regular double precision.

Orbit Traps does work, but it really depends on the location and the settings you choose for the trap. There are few coloring algorithms that consistently produce good results when zooming in deep, but you can get something nice with Orbit Traps.

Here's a small example:

TwinJellyfishWithOrbitTraps {
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  4Rr0m6tSqXL10XFtihAxIYlQyV0aIHOzRVMqhNZ7q6wAQvm9Q6hadPDrzlhBNLsOqxVguH16
  mmFLpCperrIZCsgQZFM+hNFDVZXBRQpV8xjAInMx4AMIdl/GI7/MuLKjSZYLlOl8EXB7TlPZ
  oMBs0jap2AZ3wDSpsb6jSq1euTkLf44kF/ysU4mboN2LxayLLWfIG+NzPa948Wz9wvTc3C5h
  vdYLpIsUXXrVed2qs5HtEeVevXr3C6bhbAg3a5mPFBYczngQjnQ35hTlSDBdt+FuFqpGCDmR
  syNU3bLpwhF8Qga0Oq/SA0nBt1xbGGD7G+uhjc4+lab4luL/NaroN8+Oz0WUOrFwv75w2B63
  ug8IMv29REj6XOTYC42g2SkrstAWv85HuJ8asG6pHPyThaQQbGM8mFNGOlxwFDA3NrQPzhR3
  0hr2qK9FxHfp66eVDX7PIdCAHoQP4ybrU6y+OwXrZXtm9Zw+MepWxeUqtcrLsPvc7qhOUtbv
  +wOMY7EuKXFs3VplseLHOBANJi8BzwlxWtUw6JJc6dmrkIO+Q5Xb7IYueuvLCY9we92tTInh
  0f987eu74jg+37t1aN0J2euN40VnYcWgAap41ikYSgncRceWMGR6WHHn4baybKLOFTyRdmiS
  PSBnmllFhJQDGH6B78Aq0d4Rn6QLiAQ/P0X5JWA=
}

It depends on what you're doing but I've had some success with Potential Differential down to a moderate depth, which can give a dimensional/shading effect, and Stripes (smooth and otherwise) which can add two types of stripe texture. Both are in aho.ucl. You do need to tweak both the colouring params and the color density to get the most interesting results. Finally, some sort of Smooth colouring is generally good for adding actual colours.

If a good mask can be devised then I sometimes just use a normal scale texture to add some subtle texture to selected parts of the image. I also sometimes use one or more general Gradient layers with a few nice colours to give a deep zoom a range of different colours across the whole canvas. These sorts of general techniques can add interest to an image that may otherwise be very difficult to enhance.

Here is an example of two types of stripe with smooth colouring on a zoom down to 1.67E31:

ZoomColouring {
; Copyright © 2017 by Christine-Ann Martin.
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  I/9wZKzteXMPbYfICpPB6a0oeG2P4+EoHy1IY9tSNUciCsiAS12guRNVA9SboFun1ZVZBnR3
  IoQwUjg0f5ja/Dm8xXO7CvV1KPZiwRg+XVbjCMBUIQ7wbmwAlZpf1IVMOhUUReGG5m567XLo
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  fOhyXPnwq4skCmlBh2kMeNmhRzHXUuqKUFqomxmFwrozCgoZuT++Bj1NfR0afOps8R5hBXUl
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}