What is the relationship of homography?

Homography is a transformation that relates the perspective projection of points in one image to the perspective projection of the same points in another image. It is a mathematical relationship that describes the transformation between two images taken from different viewpoints or perspectives of the same scene. Homography is used in computer vision and image processing for tasks such as image registration, object recognition, and image stitching.

Homography is a transformation in projective geometry that maps points from one plane to another plane. It is a 3x3 matrix that relates the coordinates of points in the two planes.

The relationship of homography is defined by the following equation:

```
p' = H - p
```

where:

- p is the original point in the first plane
- p' is the corresponding point in the second plane
- H is the homography matrix

The homography matrix can be used to transform points, lines, and other geometric objects from one plane to another. It is commonly used in computer vision applications such as:

- Image rectification
- Image stitching
- Object detection and recognition
- Camera calibration

Homography is also used in computer graphics to transform objects in 3D space. It is a powerful tool that can be used to create realistic and complex 3D scenes.