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April 10, 2012
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:iconeralex61:
Here is projective transform.
x'= (A1*x+B1*y+C1)/(A*x+B*y+C)
y'= (A2*x+B2*y+C2)/(A*x+B*y+C)

It's rather similar to simple linear.

Some properties:
1)If three points lie on the straight line before transformation, than they will be lie on the straight line after.

2)Each convex quadrilateral can be transformed to arbitrary convex quadrilateral with the help of one and only one projective transform. (It's very useful for transform parameters determination)

You can download c-file, dll-file, sample flames and Excel file with example of finding parameters for Projective-1 flame.

You can see some examples of this transform usage
[link]
[link]

:peace:
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:iconmobilelectro:
~Mobilelectro Feb 16, 2013
Hey Eralex61! Pretty awesome stuff. Finally got a fast enough computer to try making some fractals again. I had over 4000 deviations in my watch list when I came back here and am slowly working my way through them when I finally came across one of you pieces. That is always a great treat. Hope your doing well!
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:iconlyc:
*lyc Apr 12, 2012
hmmm, this is kind of nonstandard because it doesn't use the apophysis weight. for interpolation etc, it's important that weight = 0 makes it have no contribution.

i'm going to add in the weight in my version for chaotica (natively / built in).
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:iconeralex61:
~eralex61 Apr 12, 2012
Thank you. I've changed files.
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:iconlyc:
Mood: Wow! *lyc Apr 12, 2012
that looks awesome!
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:iconpiethein21:
~piethein21 Apr 12, 2012  Hobbyist Digital Artist
im so bad at understanding the affiene plane xD.
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:iconpillemaster:
Mood: Joy ~pillemaster Apr 11, 2012
wow gotty try this asap!
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:iconlyc:
*lyc Apr 13, 2012
i suggest re-downloading the updated version, which takes the weight into account
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