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 Post subject: Conformal Maps
PostPosted: Tue Jun 26, 2012 9:02 pm  (#1) 
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A conformal mapping plugin for Gimp.
http://www.analysis.uni-hannover.de/~gr ... dex.php.en

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 Post subject: Re: Conformal Maps
PostPosted: Tue Jun 26, 2012 9:49 pm  (#2) 
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Odinbc wrote:
A conformal mapping plugin for Gimp.
http://www.analysis.uni-hannover.de/~gr ... dex.php.en


Could you please explain exactly what you would use this plug-in for? :)

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Thanks.

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 Post subject: Re: Conformal Maps
PostPosted: Tue Jun 26, 2012 11:50 pm  (#3) 
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Formula = w=4/z**2
Results-

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I removed the gradient and replaced it with a solid color though. :)
top layer = darken only - 100% opacity
middle layer = value - 100% opacity
bottom layer = normal - 100% opacity - color #2e78a8

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 Post subject: Re: Conformal Maps
PostPosted: Tue Jun 26, 2012 11:58 pm  (#4) 
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Looks good Rod. If you haven't already check the read me.


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 Post subject: Re: Conformal Maps
PostPosted: Wed Jun 27, 2012 12:01 am  (#5) 
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I didn't see a read me.I only got the python file in my download. :)
Duh now i see it on the site :lol...thanks Odinbc.

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 Post subject: Re: Conformal Maps
PostPosted: Wed Jun 27, 2012 12:47 am  (#6) 
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Here's the link to the Conformal Maps repository.
http://repo.or.cz/w/conformal.git

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 Post subject: Re: Conformal Maps
PostPosted: Wed Jun 27, 2012 2:26 am  (#7) 
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Thanks.

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 Post subject: Re: Conformal Maps
PostPosted: Wed Jun 27, 2012 4:59 am  (#8) 
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Thanks! Domain colouring is on my list of things to explore.


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 Post subject: Re: Conformal Maps
PostPosted: Wed Jun 27, 2012 10:16 pm  (#9) 
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step7 wrote:
Thanks! Domain colouring is on my list of things to explore.


look in mathmap should be in Render:
as written in the first lines http://www.analysis.uni-hannover.de/~gr ... dex.php.en the python script was done to emulate some mathmap filters because Mathmap was no more supported by gimp 2.0

Then after was a new version of MathMap compatible with gimp 2.0...long ago

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 Post subject: Re: Conformal Maps
PostPosted: Thu Jun 28, 2012 3:52 am  (#10) 
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Quote:
...Then after was a new version of MathMap compatible with gimp 2.0...long ago

There's lots of toys in the toolbox pc, it's all good ;)
Quote:
look in mathmap should be in Render:

Btw, I couldn't find the expression you mention in MathMap. If you have it handy would you mind posting it?


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File comment: Fun with toys
a-little-bit-of-fun-gc.jpg
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 Post subject: Re: Conformal Maps
PostPosted: Mon Jul 16, 2012 5:48 am  (#11) 
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Finally got around to playing with what I guessed would be a cool plugin. Spent an hour working through quite an heavy article the author links to http://www.mai.liu.se/~halun/complex/domain_coloring-unicode.html and was rewarded with stuff like this..


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 Post subject: Re: Conformal Maps
PostPosted: Mon Jul 16, 2012 6:53 am  (#12) 
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I wish i could say i understand those formulas but i do not. Just like the Twist plugin i have no clue where to start. :lol

What pray tell was the formula for that one. :)
Very cool.Almost fractal like.

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 Post subject: Re: Conformal Maps
PostPosted: Mon Jul 16, 2012 8:09 am  (#13) 
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It is fractal and the expression for it is a function of a function of a function of a function of function... you get the idea.

What the "formula" looks like I can't say because I haven't seen it, but what I do know is the function inside the function inside the function..... is "z^2.3 - 0.75 - 0.2j". I could have sat down (for ever) and expanded the expression (just like saying a half of a half of a half is an eigth) to come up with something that would probably take an age to type in "code" text box correctly.

Instead I put some python code in there and let the computer do the hard work unravelling it. The author has been clever and passes what you type in the text box to the python interpreter as actual code :) It doesn't just have to be a w=..z.. type expression!

If you want to play with it, type* the following code in the "code" text box:
(*I wish I could say copy/paste, but it doesn't seem to work :( A recurring problem I have with GTK text widgets, any ideas?)

def f(z):
<TAB>zz=z**2.3-0.75-0.2j
<TAB>return zz
w = f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(z))))))))))))))))))))


The <TAB> is a single keyboard tab and there should be 20 "f(" in front of the "z" and 20 ")" after it.
Feel free to play around with the 2.3, 0.75 and 0.2 or put more or less f( ) in. Be ready to play around with the x and y limits too, so you can see the "whole picture".

Some values you'll pick will result in a boring uniform output :hoh, others will result in a divide by 0 and crash the plugin :oops: No harm done, restart the plugin, the text you've typed in will remain in place and you can pick some other values :cool

I'll try to come with some other -hopefully simpler- expressions that yield interesting results if anyone's interested. I wouldn't mind applying a ton of tweaks to this plugin and maybe even making it a slider only toy, but not sure how that would sit with the author (who still looks active on git with it :))

Have fun, I'm off to install Twist;)


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