How to change the homography with the scale of the image?

affinetransform, computer-vision, image-processing, opencv

Solution

The homography doesn't change. It will be the same as long as both images have undergone the same linear scaling.

The homography is a mapping between two 2D planes in 3D space. It combines at rotation and translation with the camera matrix. If the position of the camera relative to the object has not changed, then a homography calculated from a mapping of points in the object plane to the equivalent points in the image plane will be the same (assuming no noise) regardless of the points chosen.

Problem

I have two planar images A and B I have calculated the homography between these two images using feature points, my question is, if both A and B scale up to double size, let's say A' and B'. How will homography' be? Thank you.

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