Chance operations & probability theory
From GenerativeArt
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(→Statistical Distributions) |
(→Pragmatic notes on using random numbers in art) |
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In this example the intent is to suggest a large circle by populating a 1 unit radius with small circles. Using the programming environment Matlab pairs of random numbers from -1 to 1 ar generated and then tested. Those with a distance from the center (0,0) greater than 1 are rejected. The remaining (x,y) pairs are plotted as small blue circles. | In this example the intent is to suggest a large circle by populating a 1 unit radius with small circles. Using the programming environment Matlab pairs of random numbers from -1 to 1 ar generated and then tested. Those with a distance from the center (0,0) greater than 1 are rejected. The remaining (x,y) pairs are plotted as small blue circles. | ||
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| + | While a large circle is formed, the smaller circles tend to clump up | ||
| + | as is typical when using small quantities of random numbers. | ||
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| + | Here are the same points adjusted via software to reduce clumping. | ||
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| + | The de-clumping algorithm works by first analyzing each center point and finding the nearest neighbors. | ||
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| + | The distances between nearest neighbors are then iteratively adjusted. Points that | ||
| + | are "too close" are moved a bit apart, and others "too far apart" are moved closer together. | ||
| + | This is repeated a number of times until a balance is achieved. Note the flaws | ||
| + | and irregularities that make the image more interesting than the result of a | ||
| + | tiling algorithm which would enforce strict symmetries and measurements. | ||
== Links == | == Links == | ||
