Autostereoscopic three-dimensional image display apparatus

1. An autostereoscopic three-dimensional image display apparatus comprising:

a display panel including an array of a plurality of sub-pixels; and

an optical plate or a line light source, which is spaced a predetermined interval from the display panel at a predetermined inclination angle,

wherein an inclination angle of the optical plate or the line light source with respect to a vertical direction of the display panel is determined by the following [Equation]:

θ

=

tan

-

1

⁡

[

W

h

W

v

⁢

m

n

]

[

Equation

]

here, θ denotes the inclination angle, W h denotes a horizontal size of each of the sub-pixels constituting the display panel, W v denotes a vertical size of each of the sub-pixels, n denotes the number of vertical sub-pixels, to which viewpoint images are distributed, among the sub-pixels constituting the display panel, which is an integer of 2 or more and is smaller than the number of the vertical sub-pixels of the display panel, and m denotes the number of horizontal sub-pixels, to which the viewpoint images are distributed, in one period among the sub-pixels constituting the display panel, which is an integer of 1 or more and is smaller than n.

2. The autostereoscopic three-dimensional image display apparatus of claim 1 , further comprising a controller configured to generate a three-dimensional image by arranging the viewpoint images on the display panel.

3. The autostereoscopic three-dimensional image display apparatus of claim 2 , wherein a distance between adjacent viewpoint images among the viewpoint images is 65 mm or less.

4. The autostereoscopic three-dimensional image display apparatus of claim 2 , wherein the controller determines a viewpoint image to be arranged in the sub-pixel according to the following [Equation] when the inclination angle is greater than 0 degrees:

X [ i,j ]=1+ n ×( j− 1)− m ×( i− 1), and   [Equation]

determines a viewpoint image to be arranged in the sub-pixel according to the following [Equation] when the inclination angle is smaller than 0 degrees:

X [ i,j ]=1+ n ×( j− 1)+ m ×( i− 1)   [Equation]

here, X[i,j] denotes an index value for generating a viewpoint number assigned to a sub-pixel in i th row and j th column.

5. The autostereoscopic three-dimensional image display apparatus of claim 4 , wherein the controller determines a final viewpoint number to be assigned in the sub-pixel by adjusting the determined viewpoint image,

wherein the final viewpoint number is determined by the following [Equation] when the determined viewpoint image is 1 or more and is a total number of viewpoints or less:

VP[i,j]=X[i,j],   [Equation]

the final viewpoint number is determined by the following [Equation] when the determined viewpoint image is greater than the total number of viewpoints:

VP [ i,j ]= X [ i,j ]− l×C , and   [Equation]

the final viewpoint number is determined by the following [Equation] when the determined viewpoint image is smaller than 1:

VP [ i,j ]= X [ i,j ]+ l×C,   [Equation]

here, VP[i,j] denotes a final viewpoint number assigned to the sub-pixel in i th row and j th column, X[i,j] denotes the index value for generating the viewpoint number assigned to the sub-pixel in i th row and j th column, C denotes the total number of viewpoints at which the viewpoint image is arranged, and 1 is a positive integer selected to satisfy a condition of 1≤VP[i,j]≤C.

6. The autostereoscopic three-dimensional image display apparatus of claim 2 , wherein the controller arranges the same viewpoint image at a predetermined number of adjacent viewpoints when the number of viewpoints increases by adjusting the inclination angle of the optical plate or the line light source.

7. The autostereoscopic three-dimensional image display apparatus of claim 1 , wherein the optical plate includes a parallax barrier or a lenticular lens.