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Aligning objects on terrain

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I want to implement a nice algorithm for orienting/aligning units/objects on a terrain grid. It is for a RTS game so it doesn''t have to be perfect, but rather fast and simple. I''m currently thinking about taking the triangle/face that the unit is on and averaging between that face and an ''up''-vector. Also when moving between two faces the old and new face should first be averaged and then the result averaged with the ''up''-vector. I''m very interested in information/ideas about how something like the above could be accomplished in a good way, preferably without heavy math.

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