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Table 1 Auto-calibration parameters (L and R denote left and right camera)

From: Camera auto-calibration in GPS/INS/stereo camera integrated kinematic positioning and navigation system

Parameter

Description

Δf L , Δf R

Correction for focal lengths [px]

\( \begin{array}{c}\hfill \varDelta {x}_{L,0},\varDelta {y}_{L,0}\hfill \\ {}\hfill \varDelta {x}_{R,0},\varDelta {y}_{R,0}\hfill \end{array} \)

Correction for principal points [px]

\( \begin{array}{c}\hfill {k}_{L,1},{k}_{L,2},{k}_{L,3}\hfill \\ {}\hfill {k}_{R,1},{k}_{R,2},{k}_{R,3}\hfill \end{array} \)

Radial lens distortion parameters [px−2, px−4, px−6]

\( {\mathbf{b}}_{LR}^c \)

Stereo baseline vector [m]

\( {C}_{cR}^c \)

Right camera to left camera DCM defined by Euler angles \( {\boldsymbol{\theta}}_{cR}^c\left[ \deg \right] \)

\( \varDelta {\mathbf{X}}_{L,k,k-1}^{n^{\prime }} \)

Position difference of the left camera between two consecutive frames [m]

\( {C}_{c,k}^{n^{\prime }} \)

Camera to n’-frame DCM defined by Euler angles \( {\boldsymbol{\theta}}_{c,k}^{n^{\prime }}\left[ \deg \right] \)