tge
tge

Reputation: 89

Equation to reproject 2D image point to 3D coordinate

I had a similar situation like described in this question. Within the question, the user who asked wrote the following equation:

enter image description here

It seems to work *, but does somebody know, how to get this equation? I was not able to find anything like this anywhere else...

Thanks in advance!

*) I also guess I kinda understand the equation: the left part is the ray coming from the camera and going through the image point, therefore on the right side the real-world coordinates have to be translated and rotated as if the camera would be placed in (0,0,0)... sort of? I just can't find a paper or anything to confirm the equation

Upvotes: 1

Views: 1627

Answers (1)

Lukashou-AGH
Lukashou-AGH

Reputation: 123

It is a simple pinhole camera model equation. I guess what you are looking for, at least partially described PDF: here. You can also google more math yourself using keywords: camera calibration, pinhole model.

enter image description here enter image description here

Upvotes: 3

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