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I'm using the following video background in one of my apps, and am interested in how I can programmatically generate position of a dot on a screen, as in this animation.

The way I can describe this animation is as "waves" or "sea", with x,y and t determining the height z. I was going to try to recreate it using two sine waves, but Is there's a better equation I can use to determine a position of a point on a wave like this at any given time?

enter image description here

Alex Stone
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    To me it looks like the "nodes" of this sea surface are moving rather randomly in $x$, $y$ and $z$ directions, but these lines that connect them are governed by some sort of Bezier curves or maybe even just polynomial interpolation. – Evgeny Aug 21 '15 at 18:05
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    You may like a related Blender question. – ccorn Aug 21 '15 at 18:30
  • Maybe (someone call me out if this is silly) you could superpose some plane waves each with different direction/frequency/wavelength; although these waves by themselves would look monotonously periodic a superposition could give some nice pseudo-random visuals depending on the relation between the respective values of the chosen constants. I guess one downside to this method (if it is plausible/practical) would be the chance to encounter extreme amplitudes if the phases aligned. – Rammus Aug 21 '15 at 18:35

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