Toshiba developed an LCD that can display 2D and glasses-free 3D at the same time

Toshiba has developed a new 12" LCD panel that can partially convert a 2D image to a 3D image and can be viewed with the naked eye. The panel's resolution is 1400x1050 for 2D and 466x350 for 3D images. The panel displays 3D images by using the "GRIN (gradient index) lens," which changes the distribution of refraction indexes by controlling the gradient (orientation) of liquid crystal molecules.

The GRIN-lens LCD panel sits in front of the normal LCD. It can be powered-off, and then normal 2D images are displays. It can also be turn-on partially (for just a part of the display), and so 2D and 3D images can be displays at the same time, on a different part of the display. The GRIN-lens panel is thick (150μm) and has a slow response time. So Toshiba added another (third) LCD panel that can change the polarization of light by 90° between the two panels, whose transmittance is about 90%, to switch between 2D and 3D images at a high speed.

via TechOn