Method of displaying three dimensional image and three dimensional display apparatus for performing the method

A three-dimensional auto-stereoscopic (“3D”) display apparatus comprising:

• a display panel configured to display a right-eye image and a left-eye image;
• a shutter panel comprising a unit part comprising n shutter electrodes, wherein n is a natural number, the unit part being configured to operate as an opening part that transmits a light and as a blocking part that blocks the light;
• a lens unit comprising a plurality of lenses arranged in a direction and configured to provide the light transmitted through the opening part to an observer's right-eye and left-eye;
• a controller configured to designate each of the n shutter electrodes of the unit part as either a right-eye electrode or a left-eye electrode;
• and
• a shutter driver configured to selectively drive the right-eye electrodes and the left-eye electrodes as the opening part based on an image to be displayed on the display panel,
• wherein a concentrating area for light transmitted through each of the n shutter electrodes is determined at an optimal viewing distance (OVD),
• wherein the controller is configured to adjust a concentration of the light emitting from the n shutter electrodes of the unit part respectively on the n concentrating areas based on each of the n concentrating areas having a width of 2E/n wherein “E” is a distance between an observer's right-eye and the observer's left-eye.