In the last decade the number of very high-energy-gamma-ray (VHE; > 100 GeV) sources has increased steadily. Most of the sources are extended with a detailed structure, which can be a hint to the nature of their gamma-ray emitting processes. A common approach to shed light on the processes responsible for the gamma-ray emission are correlation studies between different wavebands and detailed investigations of source morphologies. Such studies are hampered by the fact that in the VHE gamma-ray regime the angular resolution is worse compared to most of the other wavelength ranges.

To unveil the true morphology of VHE gamma-ray sources, we studied the application of the Richardson-Lucy deconvolution algorithm (RLA) to VHE gamma-ray images. In the VHE regime, the noise is usually of the same order as the signal strength requiring a detailed understanding of the behaviour of the algorithm. We present detailed systematic studies on the deconvolution of simulated VHE gamma-ray data which show that deconvolution makes it possible to study structural details well below the angular resolution of the very high-energy gamma-ray experiment.