Volumetric displays are attracting attention in fields such as media art and digital signage. In previous research, we developed a method to display multiple images in the same space using a volumetric display. However, because of the nature of the algorithm, the images could not be displayed when they contained a pure black image (in which all the pixel values are "0"). In the current study, we present a revised algorithm that can display such images. Therefore, a wider range of images can be displayed in the same space. Image quality evaluation using structural similarity shows that the proposed algorithm yields images that are superior or equivalent to those of the previous algorithm.