4 ms·

Wrapping Images Around Fractals

66 points by bamia 7y ago

bamia 7y ago
I started building my website where I share some of my work, and this is my first article. I explain in detail how an image can be inserted in a Mandelbrot/Julia set. Again, sorry for my English.
- namanyayg 7y ago
  Some great results, both mathematically and visually. Learnt a bunch. Thanks for putting it up online!
namanyayg 7y ago
Anyone else seeing a rotating snakes-esque illusion in the first few fractals?
- schaefer 7y ago
  yep.
- Rexxar 7y ago
  Switching between this and a blank page make it incredibly visible for me.
gedy 7y ago
I did some work on this in JavaScript a while back: http://garythom.as/myo/julia/ http://garythom.as/myo/julia/ (Images are not uploaded, all in browser)
- bamia 7y ago
  Nice! How did you discover this method? How did it all began?
  - gedy 7y ago
    A friend of mine found on his own about 20 years ago programming fractals in Amiga basic, and since then have I ported/played with to Java, C++, and eventually JavaScript. Here's the results of an AfterEffects video plugin I wrote about 2003: https://vimeo.com/105310176 https://vimeo.com/105310176
- Rexxar 7y ago
  You should do a "Show HN" for it. I think a lot of people will like it.
ttoinou 7y ago
My personal favorites creative uses of this are from Ivan Freeman "bryceguy72" on deviantart :) https://www.deviantart.com/bryceguy72/art/Julia-s-Garden-781436749 https://www.deviantart.com/bryceguy72/art/Julia-s-Garden-781... https://www.deviantart.com/bryceguy72/art/Dark-Forces-575209259 https://www.deviantart.com/bryceguy72/art/Dark-Forces-575209... https://www.deviantart.com/bryceguy72/art/Cobra-Cantor-196223239 https://www.deviantart.com/bryceguy72/art/Cobra-Cantor-19622... https://www.deviantart.com/bryceguy72/art/Weaver-Fever-197287304 https://www.deviantart.com/bryceguy72/art/Weaver-Fever-19728...
- gedy 7y ago
  Small world! Ivan is the friend I mentioned in another comment here
benji_is_me 7y ago
Gimp has a feature for this. Filters > Map > Fractal Trace. https://docs.gimp.org/2.10/en/gimp-filter-fractal-trace.html https://docs.gimp.org/2.10/en/gimp-filter-fractal-trace.html
n3k5 7y ago
> Maybe one day I will revisit this project and properly rewrite the whole thing. I recommend doing it in GLSL. It's very little effort to implement (about 30–50 lines of code) and even on a modest GPU it'll run fast enough so you can explore different parameters interactively. As a bonus, you can get MIP-mapping for basically free — no more aliasing! In case you don't want to learn OpenGL or Vulkan, you can use a tool such as Shadertoy.
- DerDangDerDang 7y ago
  Writing fractal shaders is great fun, agreed. I found mip mapping introduced artefacts around discontinuities in the texture coordinates - this was doing orbit trap texturing, but the UVs in the described method would have similar discontinuities. The artefacts can be reduced with a bit of care, iirc
- eroeroe 7y ago
  Yes, I agree: the GLSL is a adding value. I found great and fabulous this: https://www.michelemorrone.eu/glchaosp/ https://www.michelemorrone.eu/glchaosp/ glChAoS.P ⋅ wglchaosp.p - Real time 3D strange attractors GPU explorer... and hypercomplex fractals It's both OpenGL and WebGL (via WebAssembly), also opensource and multi platform.. and explores over 100 types between attractors, fractals and also DLA3D (Diffusion Limited Aggregation) Very beautiful!

66 points by bamia 7y ago

I started building my website where I share some of my work, and this is my first article. I explain in detail how an image can be inserted in a Mandelbrot/Julia set. Again, sorry for my English.

namanyayg 7y ago
Some great results, both mathematically and visually. Learnt a bunch. Thanks for putting it up online!

namanyayg 7y ago

Anyone else seeing a rotating snakes-esque illusion in the first few fractals?

schaefer 7y ago
yep.
Rexxar 7y ago
Switching between this and a blank page make it incredibly visible for me.

gedy 7y ago

I did some work on this in JavaScript a while back: http://garythom.as/myo/julia/ http://garythom.as/myo/julia/ (Images are not uploaded, all in browser)

bamia 7y ago
Nice! How did you discover this method? How did it all began?
- gedy 7y ago
  A friend of mine found on his own about 20 years ago programming fractals in Amiga basic, and since then have I ported/played with to Java, C++, and eventually JavaScript. Here's the results of an AfterEffects video plugin I wrote about 2003: https://vimeo.com/105310176 https://vimeo.com/105310176
Rexxar 7y ago
You should do a "Show HN" for it. I think a lot of people will like it.

ttoinou 7y ago

My personal favorites creative uses of this are from Ivan Freeman "bryceguy72" on deviantart :) https://www.deviantart.com/bryceguy72/art/Julia-s-Garden-781436749 https://www.deviantart.com/bryceguy72/art/Julia-s-Garden-781... https://www.deviantart.com/bryceguy72/art/Dark-Forces-575209259 https://www.deviantart.com/bryceguy72/art/Dark-Forces-575209... https://www.deviantart.com/bryceguy72/art/Cobra-Cantor-196223239 https://www.deviantart.com/bryceguy72/art/Cobra-Cantor-19622... https://www.deviantart.com/bryceguy72/art/Weaver-Fever-197287304 https://www.deviantart.com/bryceguy72/art/Weaver-Fever-19728...

gedy 7y ago
Small world! Ivan is the friend I mentioned in another comment here

benji_is_me 7y ago

Gimp has a feature for this. Filters > Map > Fractal Trace. https://docs.gimp.org/2.10/en/gimp-filter-fractal-trace.html https://docs.gimp.org/2.10/en/gimp-filter-fractal-trace.html

n3k5 7y ago

> Maybe one day I will revisit this project and properly rewrite the whole thing. I recommend doing it in GLSL. It's very little effort to implement (about 30–50 lines of code) and even on a modest GPU it'll run fast enough so you can explore different parameters interactively. As a bonus, you can get MIP-mapping for basically free — no more aliasing! In case you don't want to learn OpenGL or Vulkan, you can use a tool such as Shadertoy.

DerDangDerDang 7y ago
Writing fractal shaders is great fun, agreed. I found mip mapping introduced artefacts around discontinuities in the texture coordinates - this was doing orbit trap texturing, but the UVs in the described method would have similar discontinuities. The artefacts can be reduced with a bit of care, iirc
eroeroe 7y ago
Yes, I agree: the GLSL is a adding value. I found great and fabulous this: https://www.michelemorrone.eu/glchaosp/ https://www.michelemorrone.eu/glchaosp/ glChAoS.P ⋅ wglchaosp.p - Real time 3D strange attractors GPU explorer... and hypercomplex fractals It's both OpenGL and WebGL (via WebAssembly), also opensource and multi platform.. and explores over 100 types between attractors, fractals and also DLA3D (Diffusion Limited Aggregation) Very beautiful!