您能否使用 ax,y,z 矩阵将给定 z 值的 x 和 y 值反向二元插值到 output？

Question

I am trying to obtain an estimate of an x and y value given az value using ax,y,z matrix. I am not sure how to do this in excel. I am able to do bi-linear interpolation if I know the x and y values to obtain az value but I am not sure how to do the reverse process.

Answer 1

This is an under-constrained problem, as there are multiple z values that are the same. In fact, it appears that the contours of the z-values imply that any given z-value would have many potential interpolated answers, assuming that your underlying model is continuous (not discrete). Hence, there is not an answer to your question as posed.