2D plane deformations using lookup tables was a great way to get smooth animations of complex calculations running on slower processors. These effects were very common in the 90s demoscene. The idea was to take a texture and deform it using a pre-calculated math reference table. Different formulas gave different effects such as fake 3d tunnels, wormholes and landscapes.
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source code:
http://luis.net/projects/processing/deformation/
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