International audienceIn this paper, we consider the problem of accurately reproducing high dynamic range (HDR) images and video on HDR displays. Differently from conventional image reproduction devices, HDR displays require dual modulated signals to drive the back LED panel and the front LCD screen. In this work, we present an iterative scaling approach to estimate these two signals, which is able to reproduce accurately luminance values stored in HDR files. To avoid temporal artifacts due to frame-by-frame processing, we also describe a temporal smoothing mechanism to compute backlight illumination. Our results demonstrate higher accuracy than simpler approaches such as built-in display rendering. Furthermore, the proposed method offers the possibility to estimate precisely the lumi-nance emitted by the display