How to make an octant display?

Question

I am trying to construct a display that is shaped like an eighth piece of a sphere. The resulting device shall be self-sufficient and possibly portable, meaning projection onto matte octant won't do it. The screen should be capable of displaying photorealistic images at a high frame rate, so POV display won't suffice as well. Primarily, I see two options here:

• to curve light output from a regular “planar” display with a lens or anyhow else,
• or to give needed curvature to the display matrix itself.

Having thought over the first approach, I foresee two main concerns to deal with. The first one is that homogenous pixel density will become heterogenous when light is bent in non-isomorphic manner (see figure).

That is, to make a plane into a sphere, we need to stretch periphery more than centre, therefore pixel density will be affected likewise so we get fewer pixels to corners. This could be partially mitigated through software, but the problem still remains. The second problem is the lens itself. I am not confident enough on the right branch of optics or optical engineering to be able to determine which type of optical device and of what metrics should be used here.

The second mentioned approach with already curved matrix seems less complicating, although I do not know how to produce such displays, or how to order them; and I am not sure about image quality of such displays, should they exist.

Thank you for your interest. Any suggestion would be much appreciated.

Answer 1

I think that given the constraints on size and resolution, interior projection using some form of Pico projector will probably be your best approach. The DLP-based units from TI are particularly nice.

You'll probably need to find a way to fold the optical path using one or two mirrors in order to make it self-contained, while still covering the entire octant.

Answer 2

Have you heard of POV (persistance of vision) displays? This video shows such a display in action, it is a circle of LEDs that is spun around with the LEDs being controlled depending on rotational position. You could do the same, but switch off the display everywhere but that one eigth of the sphere you want to use.

Another option would be to project the image onto the inside (or outside) of a white, thin piece of spherical plastic or similar, using a simple projector. In this case, you would of course have to run a bit mathematics on the image before displaying it in order to not stretch it.