Flat panel displays, such as liquid crystal displays (LCDs), typically emit light during the whole frame time. In contrast, traditional cathode ray tubes (CRTs) emit light as very short pulses, which gives the CRT a better dynamic resolution. As a consequence, LCDs suffer from motion artifacts, which are visible as a blurring of moving objects. Based on a straightforward frequency domain analysis that takes into account the eye tracking of the viewer, we propose a method for reducing these artifacts. This method, `motion compensated inverse filtering', uses motion vectors to apply a pre-correction to the video data. As such, we are able to recover the sharpness of moving images on LCDs to a large extent.