@joseph@Okidoki , wow, why would you kick someone’s out so quickly for asking for a image processing features in Blender? yes, it’s far not the primary software for that, but today we with the power of FOSS we can integrate almost anything into anything.
in fact, i can now show how easy it is to make one of the mentioned filters by OP.
we should not ostracize people from Blender because they want “to use fork instead of chopsticks” in their use case.
I was just suggestion some other painting app… and i do not know some blender addons/extenions with this feature…
So there is nothing about “kicking”… this might not be the suggestions one might be looking for… but on the other side one also can no know (research) everything (for other users).
here is a quick and basic demo of Polar Coordinates filter which works similar to the one in GIMP.
input
output
200 lines of Python, not very complex, not too trivial, not a complete solution either, there is only one setting for now, it requires your image to have its associated file already, and it will save the output file as a file first before loading it back to Blender (little technical limitation, you can delete the file later if you want).
so if you will not find what you are exactly looking for, contact me with detailed descriptions of the specific filters and settings that you need, i can work on that. making a released add-on for that is possible too.
Nothing negative intended in the reaction, but as experienced users we have to be honest up front with the limitations that exist and not beat around the bush. Yes, there is a workaround almost always but no, most users do not want workarounds - they want specific features to be just ‘there’ already. I myself have been on the recieving end of a lot of ugly pushback when I have offered my personal workaround solutions for things like using the texture stack as image layers, using the 3d space as a 2d image editor, etc.
I love workarounds however, and thank you for giving your own example file to look at. There might also be other ways to get some of the other things the OP is looking for - but most times I would expect to use the Compositor nodes for that level of editing, not something that is tied only to the Image Editor in Blender.