Question: Extrapolation of 3D Data


For certain points I have determined values: z depending on x and y. I look for a method to get extrapolated values for any x-y combination in this area.

To fit a 3D curve is not feasible because the fitted curve would not deliver the exact z values for a given data set (=essential condition). For a 2D data set I would do something like a linear regression between two data points but I have no approach to do something similar with data points depending on two variables. I hope somebody can help me to solve this problem. Thanks!


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