Geometric Computer Vision: Difference between revisions

Line 253: Line 253:
y' m_3'^T - m_2'^T\\
y' m_3'^T - m_2'^T\\
\end{bmatrix}</math>
\end{bmatrix}</math>
===Reconstruction for intrinsically calibrated cameras===
# Compute the essential matrix E using normalized points
# Select M=[I|0] M'=[R|T] then E=[T_x]R
# Find T and R using SVD of E.
===Reconstruction ambiguity: projective===
<math>x_h = MX_i = (MH_p^{-1})(H_P X_i)</math>
* Moving the camera will get a different reconstruction even with the same image. The 3D model will be changed by some homography.
* If you know 5 points in 3D, you can rectify the 3D model.
;Projective Reconstruction Theorem
* We can compute a projective reconstruction of a scene from 2 views.
* We don't have to know the calibration or poses.
===Affine Reconstruction===


==Projects==
==Projects==