Homography

3D world homography matrix calculation

3D world homography matrix calculation
  1. How is homography matrix calculated?
  2. How to calculate homography matrix in OpenCV?
  3. How many points does it take to solve a homography?

How is homography matrix calculated?

What is the homography matrix? The homography matrix is a 3x3 matrix but with 8 DoF (degrees of freedom) as it is estimated up to a scale. It is generally normalized (see also 1) with h_33 = 1 or h_11^2 + h_12^2 + h_13^2 + h_21^2 + h_22^2 + h_23^2 + h_31^2 + h_32^2 + h_33^2 = 1 .

How to calculate homography matrix in OpenCV?

How to calculate a Homography ? To calculate a homography between two images, you need to know at least 4 point correspondences between the two images. If you have more than 4 corresponding points, it is even better. OpenCV will robustly estimate a homography that best fits all corresponding points.

How many points does it take to solve a homography?

We have seen that a homography can be used to map one image to the other in the case of pure camera rotation or a planar scene. If such a homography exists between the images, four points are sufficient to specify it precisely.

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