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Looking for curve fitting algorithm for my requirements

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Hello, I am working on a VR game where the player does not have 1:1 control over their hands. Instead, the VR controllers act as a goal that the in-game hands will interpolate towards. (For the curious—this is the game.) Currently, we are using linear interpolation. This works will for when the goal is travelling in a straight line, but when it arcs (which is very often, since our arms primarily move in arcs), the hands will take a shortcut. This is undesirable for our gameplay, as it often makes players feel their arms are shorter than they …


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