To be honest, I'm not familiar with games at all. As for pixels, on the proposed basis, it is possible to solve the problem of finding approximate integer values to the curve. That is, we will need not integer solutions, as in the Diophantine equations, but the nearest integers to the coordinates of the current point of the curve at each step, in order to replace the real coordinates with integers.
After that, it is necessary, for example, by means of scaling, to correlate these integer coordinates with pixels. Thus, representing the curve as pixels.
But it seems to me that something like this is happening everywhere and for a long time, because we can perfectly see all our charts on the screens.