Hi,
I developed a new color mapping function that is better (ie. results nicer images) than logarithmic one for bifurcation fractals and maybe for other type of fractals. I call it "hyperbolic" coloring. This has a parameter which I call "reveal".
The function is (where
x is the count density of pixel,
min and
max are min. and max. of
xs):
MAXX:=max;
min:=abs(1/(min/MAXX+reveal)-1/reveal);
max:=abs(1/(max/MAXX+reveal)-1/reveal);
x:=abs(1/(x/MAXX+reveal)-1/reveal);
color[0..255]=(x-min)/(max-min)*255;
And my logarithmic coloring function for x>=0 values is:
min:=ln(min+1.1);
max:=ln(max+1.1);
x:=ln(x+1.1);
color[0..255]=(x-min)/(max-min)*255;
Here is a comparison graph of this hyperbolic and logarithmic coloring. What you can see is hyperbolic method reveals better the differences in lower range of
xs. If
reveal is lower lower range of
xs will be revealed.
reveal=0.001..0.1 is recommended, but it depends on
max.
Hope you will enjoy it; and please write here other useful formulas which you find (or put this post to the proper topic...)!
Regards,
Bert
Non-parametric color mapping techniques
Programming
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May 16, 2017, 12:55:21 AM
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