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In a previous course on chaos, the professor had us experiment with a program. The program allowed you to draw a base image (with microsoft paint like tools), then it would iterate that image under various popular fractals. Note: The program was browser based. I have two old GIFs (with similar base image), which demonstrates what the program outputs:

https://i.stack.imgur.com/hZ2ve.gif

https://i.stack.imgur.com/jO1BU.gif

Has anyone seen/heard of this?

Thanks, Austin

Chuck Franklin
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    I've never heard of this, but a quick Octave script should do the job. –  Mar 21 '15 at 09:31
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    Just to be clearer: to obtain this result, draw your image, import it in Octave as a matrix, use an IFS-like script to duplicate it as many times as you wish, then glue the resulting images with e.g. the GIMP to obtain the animated GIF. –  Mar 21 '15 at 09:43
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    Here is a quick code I wrote some time ago to draw IFS fractals with Octave. I do not have the time to adapt it to your case, but hopefully you can start with this and adapt it to work with multiple points (=the image) instead of just one. –  Mar 21 '15 at 09:45
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    function fract(C,m) n=size(C)(1)/2; for j=1:n dets(j,1)=abs(det([C(2j-1,1),C(2j-1,2);C(2j,1),C(2j,2)])); endfor; dets=max(dets,max(dets)/(25n)); dets=dets/sum(dets); L=0; for k=1:n p(k,1)=L; L=L+dets(k); endfor; vect=zeros(m+21,2); x=[rand,rand]; vect(1,:)=x; for k=1:20+m r=rand; i=sum(p<r); x=([C(2i-1,1) C(2i-1,2);C(2i,1) C(2i,2)]x'+[C(2i-1,3);C(2i,3)])'; vect(k+1,:)=x; endfor; plot(vect(20:end,1),vect(20:end,2),'k.'); axis('off'); endfunction –  Mar 21 '15 at 09:45

1 Answers1

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The "Deterministic IFS" applet on this Yale course page seems to fit the description.

  • You start with an input image
  • You enter rules for the transformation
  • The software applies the transformation, one step at a time. You can follow along to see the fractal generation.
  • It is a Java applet, so is/can be browser based.
user225318
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