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####Shape and location parameters  Each pixel event is characterized by the parameters \(\mathbf{r}\). Four of these (\(A,d,\tau_{d},\tau_{r})\) determine the shape of the event and \(\mu\) the location in time.  In order to reconstruct the entire image with all the pixels completely charactarize a pixel event  it is also necessary to know the location of the pixels.   From the parameter vector \(\mathbf{r}_i\) is extended with the coordinates of the *i*-th pixel:  \[  \mathbf{p}_i = \left[\mathbf{r}_i,x_i,y_i\right]  =\left[A_i, d_i ,\tau_{d,i},\tau_{r,i},\mu_i,x_i,y_i\right] =  \left[\mathbf{p}^s_{i}, \mathbf{p}^p_{i}\right],  \]  where \(\mathbf{p}^s_i=\left[A_i,d_i,\tau_{d,i},\tau_{r,i}\right]\) pixel's spatial location. This would require one or two spatial coordinates, respectively for line- or framescans. Hence, a pixel event  is wholly defined by two vectors:  the shape parametervector, \(\mathbf{p}^p_i=\left[\mu_i,x_i,y_i\right]\) is the position parameter  vector \(\mathbf{p}^s=\left[A,d,\tau_{d},\tau_{r}\right]\)  and the whole position  parameter vector \(\mathbf{p}_i\) is obtained by combining the two. \(\mathbf{p}^p_i=\left[\mu,x,y\right]\).  The *k*-th event detected in pixel *i* is represented by vectors   \(\mathbf{p}^s_{i,k}\) and \(\mathbf{p}^p_{i,k}\). These vectors can be stacked to create an event matrix (E) for pixel *i*: