Multiple image interpolation using inverse distance weighting

I have a reference image and 3 other images which are identical to the reference image. The reference pixel is the red solid circle, and the crosses are the pixels from the other 3 images respectively. The dotted circle is the result of the interpolation using the pixels from the other 3 images.

Since the 3 crosses are of different distance away from the red solid, I would like to use the inverse distance weighting method to do the interpolation. Therefore, the result of the interpolated pixel (i.e. dotted circle) would take the pixel value of the closest to the red solid circle (i.e. the blue cross).

Is it possible to do such interpolation using pixels from three other identical images?