I. Introduction
The luminous intensity varies in a wide range in the natural world. The luminance of the moonlight can be as low as around 10−3 cd/m2, while the sunshine in the sunny day can be over than 105 cd/m2 [1]. However, the conventional monitors have a Low Dynamic Range (LDR) for the display of the luminance. They need certain correction methods for the display of the High Dynamic Range (HDR) contents [2]. In order to bring a realistic visual experience, current commercial televisions have supported a high luminance range and have been able to display the HDR contents [3]. Besides the range of device, two signal transfer functions, the Opto-Electronic Transfer Function (OETF) and the Electro-Optical Transfer Function (EOTF), critically determine the quality of the HDR signals. OETF is used in the digital camera to convert the luminous intensity to the digital signal, while EOTF aims to convert the signal's carrier (analog voltage or digital code) to the luminous intensity in electric displays. Therefore, well designed systems with both HDR supported OETF and EOTF can provide realistic visual effect in multimedia applications. Conventional OETF and EOTF have been defined as standards in Rec.BT.709 [4] and Rec.BT.1886 [5], respectively. However, the Rec.BT.1886 was designed for the display of the LDR image/video [6]. It causes visible contouring artefacts for the HDR display [7] [8].