Image display device, portable terminal device, display panel and image display method using the same

1. An image display device comprising:

a display panel which includes a plurality of display pixels arranged in a matrix, each display pixel having an M×N sub-pixel matrix which is formed within a square area wherein M and N each represent a natural number; and

a lenticular lens which has a plurality of cylindrical lenses arrayed along array direction of N number of sub-pixels, each of said cylindrical lenses corresponding to N number of sub-pixels, in said each display pixel;

wherein the image display device is configured such that:

n ×sin α=sin β;

OD ×tan β= e;

n ×sin γ=sin δ;

OD ×tan δ= m×L ; and

p ×tan γ=( N×m×p−m×L )×tan α;

wherein an array pitch of said cylindrical lenses is L;

wherein a pitch of said sub-pixels in a direction orthogonal to a longitudinal direction along a ridge projection of said lenticular lens is P;

wherein a refractive index of said lenticular lens is n;

wherein an observation distance between said lenticular lens and an observer in a maximum three-dimensional visible range is OD;

wherein a width over which a pixel is projected in a magnified form at an observation distance D is e;

wherein a number of said sub-pixels between a central portion of a display pixel comprising sub-pixels for left and right eyes located at a central portion of said display panel, and a central portion of a display pixel located at an end portion of said display panel is 2 m;

wherein an incident angle and an exit angle of light at an apex of one of said cylindrical lenses located at said central portion of said display panel are α and β, respectively; and

wherein an incident angle and an exit angle of light at an apex of one of said cylindrical lenses located at said end portion of said display panel are γ and δ, respectively.

2. The image display device according to claim 1 , wherein a focal distance of said lenticular lens and a distance between an apex of said lenticular lens and said pixel are different from each other.

3. The image display device according to claim 1 , wherein said longitudinal direction along said ridge projection of said lenticular lens is a horizontal direction of an image to be displayed.

4. A portable terminal device comprising said image display device described in claim 1 .

5. The image display device according to claim 1 , wherein primary color sub-pixels having a same color are arranged in a direction orthogonal to said longitudinal direction of said lenticular lens.

6. The image display device according to claim 1 , wherein a set of three sub-pixels having a same relative positional relationship to a central axis of said lenticular lens, and positioned adjacent one another, constitutes primary color sub-pixels with primary colors, red, blue and green.

7. The image display device according to claim 6 , wherein said display panel is a liquid crystal display panel.

8. The image display device according to claim 6 , wherein said display panel is an organic electroluminescence display panel.

9. The image display device according to claim 1 , wherein when a three-dimensional image is displayed, sub-pixels for a left eye display an image for the left eye and sub-pixels for a right eye display an image for the right eye; and

wherein when a two-dimensional image is displayed, same images are displayed by said sub-pixels for the left eye and said sub-pixels for the right eye.

10. The image display device according to claim 1 , wherein said display panel is a liquid crystal display panel.

11. The image display device according to claim 1 , wherein said display panel is an organic electroluminescence display panel.

12. An image display device comprising:

a display panel which includes a plurality of display pixels arranged in a matrix, each display pixel having an M×N sub-pixel matrix which is formed within a square area wherein M and N each represent a natural number, and

a parallax barrier which has a plurality of slit openings arrayed along array direction of N numbers of sub-pixels, each of said slit openings corresponding to N number of sub-pixels in each said display pixel;

wherein the image display device is configured such that:

n ×sin α=sin β;

OD ×tan β= e;

n ×sin γ=sin δ;

OD ×tan δ= m×L ; and

p ×tan γ=( N×m×P−m×L )×tan α;

wherein an array pitch of said slit openings is L;

wherein a pitch of said sub-pixels in a direction orthogonal to a longitudinal direction of said parallax barrier is P;

wherein a refractive index of said parallax barrier is n;

wherein an observation distance between said parallax barrier and an observer in a maximum three-dimensional visible range is OD;

wherein a width over which a pixel is projected in a magnified form at an observation distance D is e;

wherein a number of said sub-pixels between a central portion of a display pixel comprising sub-pixels for left and right eyes located at a central portion of said display panel and a central portion of a display pixel located at an end portion of said display panel is 2 m;

wherein an incident angle and an exit angle of light at an apex of one of said slit openings located at said central portion of said display panel are α and β, respectively; and

wherein an incident angle and an exit angle of light at an apex of one of said slit openings located at said end portion of said display panel are γ and δ, respectively.

13. The image display device according to claim 12 , wherein said display panel is a liquid crystal display panel.

14. The image display device according to claim 12 , wherein said display panel is an organic electroluminescence display panel.

15. A portable terminal device comprising said image display device described in claim 12 .

16. The image display device according to claim 12 , wherein primary color sub-pixels having a same color are arranged in a direction orthogonal to a direction of said slit openings.

17. The image display device according to claim 12 , wherein a set of three sub-pixels having a same relative positional relationship to a central axis of said slit openings, and positioned adjacent one another, constitutes primary color sub-pixels with primary colors, red, blue and green.

18. The image display device according to claim 12 , wherein when a three-dimensional image is displayed, sub-pixels for a left eye display an image for the left eye and sub-pixels for a right eye display an image for the right eye; and

wherein when a two-dimensional image is displayed, same images are displayed by said sub-pixels for the left eye and said sub-pixels for the right eye.

19. The image display device according to claim 12 , wherein a longitudinal direction of said slit openings is a horizontal direction of an image to be displayed.