Two Possible Variations
In the previous sections we considered that points on one side of the line would have their heights increased, whereas the other points would have their heights decreased by a constant amount. This is equivalent to applying a step function based on the distance from the point to the line.
By swapping the step function it is possible to obtain interesting landscapes. For instance we could use a sine function as the figure bellow:
In this case the surface will look smoother than with the step function. The next figure shows a single iteration using the sine function:
Another interesting replacement for the step function is a cosine function as the one in the figure bellow:
A single iteration with this function will look like:
The following figures show results obtained after 1000 iterations with all three functions.
Use up your imagination to come up with other functions and let me know if you get interesting results.