Homography matrix decomposition- conversion from right hand to left hand coordinate system

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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.

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