Question

Simulating Ocean Water:
http://www.finelightvisualtechnology.com/docs/coursenotes2004.pdf

I’m trying to simulate ocean and I need your help.
Please be patient, I’m newbie to computer graphics but I know basics of physics and mathematics. As you can see I need to compute the formula:

k is a vector, x is a coordinate (so I suggest that it could be equal to vector?).

So, first question:
how to compute e to the power of such strange thing?

Second, it says that h(x,t) is height and also that to get the value it’s needed to do FFT. I can’t understand it.

Answer 1

e to the power of something imaginary can be computed with sin and cos waves

wikipedia entry for e

and vector exponentiation has it’s own page as well

matrix exponential