Setup of the synthetic component separation problem for imaging. The top row displays a realization of the diffuse emission component (left), the point-source component (middle), and the convolved point-source component (right), which has undergone Gaussian PSF convolution and multiplication by a spatially constant exposure of 80 000 s. The bottom row presents the corresponding sky emission, obtained as the sum of the diffuse and point-source components (left), the convolved and exposure-multiplied sky emission (middle), and data generated by a Poisson realization of the observed simulated sky (right).