A method and device for reconstructing image data is provided that is representative of an original image data from a decoded image data and parameters obtained from a bitstream, the parameters having been processed from said original image data. The method provides a desaturating of a luma component, an inverse-mapping of desaturated luma component and a correction of chroma components. These operations are being modulated according to the value of a single modulation factor mod representative of a peak luminance of a presentation display on which the reconstructed image is intended to be displayed, a peak luminance of a particular range image and a peak luminance of the original image data or the mastering display used to grade the original image data.