Camera Parameters: Difference between revisions

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* Image Center  \(\mathbf{o} = (o_x, o_y)\)
* Image Center  \(\mathbf{o} = (o_x, o_y)\)
* Size of pixels \(\mathbf{s} = (s_x, s_y)\)
* Size of pixels \(\mathbf{s} = (s_x, s_y)\)
* Axis skew \(s\) typically 0


The formula for this matrix is:
The formula for this matrix is:
Line 14: Line 15:
M_{int} =  
M_{int} =  
\begin{bmatrix}
\begin{bmatrix}
-f/s_x & 0 & o_x\\
-f/s_x & s & o_x\\
0 & -f/s_y & o_y\\
0 & -f/s_y & o_y\\
0 & 0 & 1  
0 & 0 & 1  

Revision as of 18:37, 18 June 2020

Camera Parameters

Intrinsics

The is the projection matrix which turns camera coordinates to image coordinates.

It consists of the following:

  • Focal Length \(f\)
  • Image Center \(\mathbf{o} = (o_x, o_y)\)
  • Size of pixels \(\mathbf{s} = (s_x, s_y)\)
  • Axis skew \(s\) typically 0

The formula for this matrix is: \[ \begin{equation} M_{int} = \begin{bmatrix} -f/s_x & s & o_x\\ 0 & -f/s_y & o_y\\ 0 & 0 & 1 \end{bmatrix} \end{equation} \]

Extrinsics

Resources