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In order to reconstruct the entire image with all the pixels it is also necessary to know the location of the pixels. The parameter vector \(\mathbf{p}_i\) is extended with the coordinates of pixel *i*: the *i*-th pixel:  \[  \mathbf{r}_i = \left[\mathbf{p}_i,x_i,y_i\right]  =\left[A_i, d_i ,\tau_{d,i},\tau_{r,i},\mu_i,x_i,y_i\right] =