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Author Topic: DE Test I  (Read 964 times)
Description: Mandelbrot zoom
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Pauldelbrot
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Posts: 2592



pderbyshire2
« on: February 10, 2010, 08:28:58 PM »



This was a test render for my improved DE coloring. The color map is to take distance d in pixels and if it is between 0 and 1 (i.e., the image pixel contains M-set boundary) base the color on

\frac{4}{\pi}\tan^{-1} (\ln\frac{1}{d^{\frac{1}{x}}}) - 1

where x is a parameter. For this image x = 1. The effect is to make the spike and the tree clearly discernible, compared to using a plain linear mapping. Even so, for some similar images (such as Troubled Tree) the x parameter needs to be raised and it can still be difficult to do justice to the fractal.

Regardless, the test render came out beautiful enough for me to want to publish it.

Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.

Detailed statistics:

Name: DE Test I
Date: January 4, 2010
Fractal: Mandelbrot
Location: A tree in elephant valley of the big spike minibrot of a spiral minibrot in Seahorse Valley.
Depth: Moderate (16 decimals)
Min Iterations: 2536
Max Iterations: 18994
Layers: 1
Anti-aliasing: 4x4, threshold 0, depth 1
Preparation time: 30 minutes, mostly coding
Calculation time: an hour and a half (2.5GHz dual-core E5200)
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kram1032
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Posts: 1863


« Reply #1 on: February 10, 2010, 08:41:10 PM »

The first thing I saw it was litterally "WHOA!"
Amazing wehat just a plain grey gradient can do cheesy
Really love this one!
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Pauldelbrot
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pderbyshire2
« Reply #2 on: February 10, 2010, 09:00:25 PM »

Thanks. smiley
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Nahee_Enterprises
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« Reply #3 on: February 11, 2010, 02:23:45 AM »

    This was a test render for my improved DE coloring.  The color map is to take
    distance d in pixels and if it is between 0 and 1 (i.e., the image pixel contains M-set boundary)...

    Fractal: Mandelbrot
    Location: A tree in elephant valley of the big spike minibrot of a spiral minibrot in Seahorse Valley.
    Depth: Moderate (16 decimals)  Max Iterations: 18994
    Calculation time: an hour and a half (2.5GHz dual-core E5200)

The "skeletal" appearance of this image is fantastic.  (Wonder what the organism looked like when the flesh was there.)    wink
 
« Last Edit: September 09, 2013, 06:42:33 AM by Nahee_Enterprises » Logged

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