creating trippy image projections

File: wew.gif (3MB, 600x600px) Image search: [Google]

3MB, 600x600px

if anyone's curious, I at least figured out bipolar coordinates, which the first image doesn't seem to be, at least not in the way i did.

first you have to map the output image pixel coordinates to a cartesian plane, e.g. [-2, 2] on both axes. then for each pixel transform into bipolar coordinates where the poles are on the x-axis at -a and a like:

float[] bipolar(float a, float x, float y) {
float t = 0.5*log((pow(x+a, 2)+y*y)/(pow(x-a, 2)+y*y));
float o = PI-2*atan(2*a*y/(a*a-x*x-y*y+sqrt(pow(a*a-x*x-y*y, 2)+4*a*a+y*y)));
return new float[] {t, o};
}

i haven't calculated the axes' ranges on that, but you then need to map each to a positive range e.g. 0-10 and then modulo-1 the coordinates to get x- and y-coordinates in [0, 1)

then just multiply that by the image dimensions and wa la!

File: try-1.png (278KB, 763x557px) Image search: [Google]

278KB, 763x557px

I believe this is a more general version of the transform in the OP, that i found on a random blog without much context

Holy, i want to know this too.
Sadly i cannot help you.
At least do you know how images like this are called?

File: Untitled3.gif (2MB, 600x600px)

2MB, 600x600px

>>143665
No idea, though I think I figured it out. I think I misinterpreted the wiki page on bipolar coordinates and got the transform for σ incorrect. This resulted in the preservation of horizontal lines but didn't give the vertical arcs like in the previous picture.

So I got that right, and then when setting the a-points to near 0 and the scale factor really high to compensate, the result does look like the previous picture. Funnily, I found the author of the original picture, and it's not an image projection, actually just drawing the arcs manually.

I think the first image is using multiple projections of the type I figured out, but without knowing who made it it's hard to say. Pic related is what I can do now. I will post code when I'm home from work

File: mandelbulb_3d-sphere_by_fraxialmadness3-d5hsii1.jpg (401KB, 1024x768px) Image search: [Google]

401KB, 1024x768px

>>143704
that seems like the kaleidoscope effect on after effects.
https://www.youtube.com/watch?v=HL4TNF--lss

>>143704
as promised

https://mega.nz/#!nEY2RC6R!AVn10CRED6_a9D1eFV5_D5bv3Up8eFgka1NHraDRV20

runs in Processing 3 and I tried to comment everything so the transformations are clear

>>143860
not op but thanks i'll try it later since i'm familiar with processing.