This article presents a novel method for the simplification of three-dimensional objects in order to optimise display. This is an incremental method with a specific feature: the processed scenes are simultaneously shown with two degrees of detail - precise and coarse. This allows for the creation of different types of simplification and adapts the geometrical and photometrical representation of the objects and scenes to precision and speed requirements. Voxels and textures are used in this method and it works with all kinds of object modelling. This method is based on the idea that in order to effectively reduce the volume of information to be processed while providing accurate rendering and fast display, we have to concentrate on the less visible parts of objects.