The paper discusses various aspects of the waved water surface and underwater bottom video representation simulation and also expands on the math models and algorithms of the following related tasks: waved water surface simulation; calculation of reflected and refracted rays directions in 3-D space; underwater caustics (extra illuminated areas) forming; refractive distortion of the bottom view account; reflected skylight addition.
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Math.:
Fourier analysis; Fast Fourier transform.
Analytical geometry in 3-D space.
Physics:
Gravity waves.
Geometrical optics.