Replaced 'corrected' to 'distorted' in camera calibration tutorials

This commit is contained in:
Maksim Shabunin
2015-05-07 18:00:11 +03:00
parent 4743184078
commit c8cb03fd8f
2 changed files with 14 additions and 14 deletions

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@@ -22,17 +22,17 @@ red line. All the expected straight lines are bulged out. Visit [Distortion
![image](images/calib_radial.jpg)
This distortion is solved as follows:
This distortion is represented as follows:
\f[x_{corrected} = x( 1 + k_1 r^2 + k_2 r^4 + k_3 r^6) \\
y_{corrected} = y( 1 + k_1 r^2 + k_2 r^4 + k_3 r^6)\f]
\f[x_{distorted} = x( 1 + k_1 r^2 + k_2 r^4 + k_3 r^6) \\
y_{distorted} = y( 1 + k_1 r^2 + k_2 r^4 + k_3 r^6)\f]
Similarly, another distortion is the tangential distortion which occurs because image taking lense
is not aligned perfectly parallel to the imaging plane. So some areas in image may look nearer than
expected. It is solved as below:
expected. It is represented as below:
\f[x_{corrected} = x + [ 2p_1xy + p_2(r^2+2x^2)] \\
y_{corrected} = y + [ p_1(r^2+ 2y^2)+ 2p_2xy]\f]
\f[x_{distorted} = x + [ 2p_1xy + p_2(r^2+2x^2)] \\
y_{distorted} = y + [ p_1(r^2+ 2y^2)+ 2p_2xy]\f]
In short, we need to find five parameters, known as distortion coefficients given by: