A method and an apparatus provided for rendering three-dimensional computer graphic images which include both translucent and opaque objects. A list of objects which may be visible in the images is determined and for each pixel in the list a determination is made as to whether or not the object in the list may be visible at that pixel. A data tag is stored for a transparent object determined to be visible at the pixel, and the data tag and object data are passed to a texturing and shading unit when the translucent object is determined to be overwriting the location in a tag buffer already occupied by another data tag.