A method and a device for displaying a set of high dynamic range sonar or radar data are provided. The method makes it possible to visualize scalar data tables having a high dynamic range. The method consists in producing a first image in colors of essentially uniform shade hue and saturation for ranges of values exhibiting a low dynamic range, in creating a second image containing only the high-amplitude information that is invisible in the first image, in subjecting the second image to a non-linear low-pass filtering creating a halo that becomes all the greater as the information increases in amplitude, then in rendering this second image according to a color map that is of constant luminance but with strong variations of hue and of saturation. These two images are then combined by a weighted average and renormalized in terms of luminance.