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In this example we use math functions to create a blurred copy of an image. The way we will blur the image is by scrambling pixels that are near each other.
We begin by creating a blank image and writing the loop to let us color each pixel in the image. For each pixel we will do one of two things: half the time, we will simply copy the pixel from the old picture into the new picture without changing anything. The other half of the time we will find a pixel nearby and copy that one instead.
Now we must figure out how to find a "nearby" pixel. We will define some value for how far away the new pixel will be (we used 10 pixels) and then we write a function that will give a (x,y) point that is a random amount between 0 and 10 pixels away in each direction. Before we use the new (x,y) point, we must check to be sure it is still a valid pixel position in the image. For example, we may be at a pixel that is on the very top of the image. Our random point generator tells us to go up by 3 pixels, but since we are on the top of the image (y = 0) we cannot very well go up by three pixels (y would be -3)! If the random number is too big (larger than the dimension -1) or too small (less than 0) then we will just use the closest number that is valid.
Once we have a valid pixel that is some amount away we use its red, green, and blue values as the new pixel's values.
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