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This image was commented 7 times


By ZebjlDbG at October 9, 2011

By anonymous at June 20, 2012
Unfortunately, I am not a terribly preoicifnt programmer in any language. I started playing around with the Mandelbrot set because it seemed like a good way to teach myself a little C. My method for getting somewhat smoothly colored images is to render a very large bitmap, then scale it down by at least half in order to (effectively) anti-alias the image and remove most of the bands. This isn't perfect, but it does a reasonably good job. As to how I create my images, the code is attached to this post, and linked in the first paragraph. It is not highly commented, but I hope it should be clear. If nothing else, you can point and laugh at my amateur efforts. ;) With regard to coloring, the general idea is to treat the complex plane as a metric space. That is, from any point on the plane, we can measure the distance to another point. Specifically, we are interested in the distance from a particular point of interest to a point in the Mandelbrot set. One way to measure this distance is to count the number of iterations until the point escapes (i.e. the escape time algorithm). Other estimators of distance look at nth iteration and see where it ended up. The father from the set the nth term is, the greater the distance from the original point to the Mandelbrot set. These kinds of distance estimators should give a smoother coloring, though I am no expert.You may want to check out by Garcia et al. for further details. The discussion there seems relatively straightforward.

By anonymous at June 21, 2012
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By anonymous at June 22, 2012
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By anonymous at April 20, 2016
Me dull. You smart. That's just what I neeedd.

By anonymous at April 21, 2016
Thank you so much for this arlceti, it saved me time!

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