Parametric curve on data points - Gnuplot

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I'm new to gnuplot and after some research, it looks like nobody already raised this question. I have a data file with x,y points :

x1, y1

x2, y2

..

and I want to plot a parametric curve on each of these points. The parametric curves might be different for each point, and parameters of those curves might be function of the points coordinates. Is there an easy way to store the variables of each of these points ? Thanks

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