From the diagram, it looks like they're projecting onto a glass screen in front of the object, and it appears to be superimposed on the object using the same approach as the Pepper's ghost box [1].
Of course I may be mistaken. This is just an educated guess.
And regardless, this sounds like a really cool technology.
[1] http://en.wikipedia.org/wiki/Peppers_ghost
EDIT: From the Google Translate of the Japanese press-release, this looks correct, they are using a half-silvered mirror so you can see the egg-through the mirror and also the projection reflected on the mirror
" Hitachi, respond to these needs, aiming to represent the object close to the actual images from nature, using a half mirror for combining multiple lenses and translucent, the image information captured in real-space projection of 24 units has enabled it to be displayed".