Image display apparatus and method

1. An image display apparatus configured to project an image onto a screen, comprising:

a projection lens arranged at a first position; and

a camera arranged at a second position,

wherein, when the screen has a curved surface, a camera image obtained by capturing a first image projected on the screen by the camera is acquired,

wherein a geometric transformation for correcting a geometric distortion caused by the curved surface seen from a first virtual viewpoint position is performed for an image to be displayed based on information of the camera image, the first position, and the second position, and a post-transformation image is projected onto the screen,

wherein each point of a grid of a projected image on the screen is calculated by using the first image and the camera image,

wherein a distance from the first position to each point of the grid is calculated,

wherein a transformation matrix for correcting the geometric distortion caused by the curved surface seen from the first virtual viewpoint position is calculated by using the grid and the distance, and

wherein the geometric transformation is performed by using the transformation matrix.

2. The image display apparatus according to claim 1 ,

wherein a virtual camera image seen from the first virtual viewpoint position is calculated by using the camera image and the distance,

wherein, from a first grid corresponding to a projectable area of the virtual camera image, a second grid corresponding to a quadrangular area included in the projectable area is calculated, and

wherein the transformation matrix is calculated by using the second grid.

3. The image display apparatus according to claim 2 ,

wherein a first transformation matrix indicating a transformation from the virtual camera image to the image to be displayed is calculated,

wherein a third grid corresponding to the post-transformation image is calculated by using the first transformation matrix and the second grid, and

wherein a second transformation matrix indicating a transformation from the image to be displayed to the third grid is calculated as the transformation matrix.

4. The image display apparatus according to claim 2 ,

wherein the quadrangle is a rectangle.

5. The image display apparatus according to claim 1 ,

wherein the first image is a pattern image corresponding to a configuration of the grid with a set division number.

6. The image display apparatus according to claim 1 ,

wherein a division number of the grid is selected from a plurality of division numbers including a set first division number and a second division number smaller than the first division number.

7. An image display apparatus configured to project an image onto a screen, comprising:

a projection lens arranged at a first position; and

a camera arranged at a second position,

wherein, when the screen has a curved surface, a camera image obtained by capturing a first image projected on the screen by the camera is acquired,

wherein a geometric transformation for correcting a geometric distortion caused by the curved surface seen from a first virtual viewpoint position is performed for an image to be displayed based on information of the camera image, the first position, and the second position, and a post-transformation image is projected onto the screen,

wherein a second virtual viewpoint position different from the first virtual viewpoint position is set, and

wherein the geometric transformation for correcting the geometric distortion seen from the second virtual viewpoint position is performed based on a difference between the first virtual viewpoint position and the second virtual viewpoint position.

8. The image display apparatus according to claim 7 ,

wherein the second virtual viewpoint position is set in accordance with an inclination of an installation of the image display apparatus in a first coordination system based on the image display apparatus, with respect to an absolute coordinate system.

9. The image display apparatus according to claim 8 , further comprising a sensor configured to detect the inclination.

10. The image display apparatus according to claim 7 ,

wherein a degree of the geometric transformation when seen from the second virtual viewpoint position is determined based on an operation of a user through a user interface.

11. An image display apparatus configured to project an image onto a screen, comprising:

a projection lens arranged at a first position; and

a camera arranged at a second position,

wherein, when the screen has a curved surface, a camera image obtained by capturing a first image projected on the screen by the camera is acquired,

wherein a geometric transformation for correcting a geometric distortion caused by the curved surface seen from a first virtual viewpoint position is performed for an image to be displayed based on information of the camera image, the first position, and the second position, and a post-transformation image is projected onto the screen,

wherein an obstacle area in the screen is detected based on the camera image,

wherein each point of a grid of a projected image on the screen is calculated by using the first image and the camera image,

wherein a distance from the first position to each point of the grid is calculated,

wherein a virtual camera image when seen from the first virtual viewpoint position is calculated by using the camera image and the distance,

wherein, from a first grid corresponding to a projectable area of the virtual camera image, a second grid corresponding to a quadrangular area which does not include the obstacle area and is included in the projectable area is calculated, and

wherein the transformation matrix is calculated by using the second grid.

12. An image display method in an image display apparatus configured to project an image onto a screen,

the image display apparatus comprising:

a projection lens arranged at a first position; and

a camera arranged at a second position, and

the image display method comprising:

when the screen has a curved surface,

a step of acquiring a camera image obtained by capturing a first image projected on the screen by the camera; and

a step of performing a geometric transformation for correcting a geometric distortion caused by the curved surface seen from a first virtual viewpoint position for an image to be displayed based on information of the camera image, the first position, and the second position, and projecting a post-transformation image onto the screen,

wherein each point of a grid of a projected image on the screen is calculated by using the first image and the camera image,

wherein a distance from the first position to each point of the grid is calculated,

wherein a transformation matrix for correcting the geometric distortion caused by the curved surface seen from the first virtual viewpoint position is calculated by using the grid and the distance, and

wherein the geometric transformation is performed by using the transformation matrix.