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The relationship between image orientation and projection matrix

To calculate the keypoint of a rotated image I need to write a function that can calculate a keypoint from a input coordinate in a vertical direction (Input: x). Suppose I want to find the keypoint of rotated image at a vertically-aligned point (Input: x). The transformation matrix is R2x2. The question is how does one know the image orientation?

A:

You might want to see this post “Finding Homography between Images”
If you want to calculate the rotation of the image which gives you a position as x you can do it like this
x = x_prime * cos(rotation) + y_prime * sin(rotation);
y = -x_prime * sin(rotation) + y_prime * cos(rotation);

You can then calculate the corresponding pixel in the input image like this
pixels = (int[])(img_1.getImageData(x_1, y_1, 1, 1, 1, 1) * 255.0);

But I think you are confused by what orientation means, you could just look up “Homography” and you will find it in a few hours in a search engine.

Update
As the

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