I wasn't sure if this should be in geometry or trig, so apologies if I picked the wrong one.
My supervisor hinted that the normal of a plane, as viewed from a camera (using the pinhole model) could be obtained from the yaw rotation ( ) and angle of elevation ( ) as per:
I've since realised that the is wrong for the x component, and believe it to be , although I'm not sure and can't prove it as this is only a hunch. Would anyone be able to help me understand and/or correct this?
I've read up on my vector theory and know that the x component should be , however this gives me a yaw angle of on an example normal I have, which seems quite unlikely. This could be due to the components being normalised to make the normal vector unit, although I don't know to what extent it would have been normalised. To find my normal, I used a decomposition method from a full camera homography.
Many thanks in advance