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How do I convert the decomposition of a homography matrix made in a right-hand coordinate system (i.e. x points right, y points down, z points into the scene) into a left-hand coordinate system (y points up)?

Given a homography H and, a camera matrix K, and their decomposition to rotation (R), translation (T), and normals (N) calculated for a right-hand coordinate system, how do I convert the decomposition (R, T, N) so it would fit the left-hand coordinate system described above?

Thanks in advance.

Ariel Benou
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  • Interesting .. What is the purpose of this conversion ? – Abhi25t Jan 28 '21 at 16:17
  • OpenCV have a build-in function: cv2.decomposeHomographyMat(). As far as I know, they are using a right-hand coordinate system while I need the results in a left-hand system... – Ariel Benou Jan 28 '21 at 16:21
  • Does this answer your question? [Changing a matrix from right-handed to left-handed coordinate system](https://stackoverflow.com/questions/1263072/changing-a-matrix-from-right-handed-to-left-handed-coordinate-system) – Alim Giray Aytar Jan 28 '21 at 17:17
  • Not exactly- I'm looking for a transformation of the decomposition result and not for the transformation of the coordinate system itself – Ariel Benou Jan 28 '21 at 17:47

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