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Camera-Calibration

• [Calibration] Estimate a plane-to-plane projectivity for each of the two planes of the calibration grid using the 3D/2D point pairs picked by the user. • [Calibration] Use the estimated plane-to-plane projectivities to assign 3D coordinates to all the detected corners on the calibration grid. • [Calibration] Estimate a 3×4 camera projection matrix P from all the detected corners on the calibration grid using linear least squares. • [Decomposition] Use QR decomposition to decompose the camera projection matrix P into the product of a 3×3 camera calibration matrix K and a 3×4 matrix [R T] composed of the rigid body motion of the camera. • [Decomposition] Normalize the resulting camera calibration matrix K into the standard form (refer to slide 19 of lecture notes on camera calibration). • [Epiplar geometry] Estimate an essential matrix from the camera projection matrices of a pair of camera.

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Calibrating a camera for computer vision. Callibration done by calculating projection matrix, transformation matrix, essential matrix and camera calibration matrix

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