Transforming 2D image coordinates to 3D world coordinates

Hey, I'm trying to convrte from 2d image to 3d real world coordinates. The image I attached has the opposite ratio, from 3D to 2D does anyone know how to make the relationship I am looking for?

Answer 1

[Matt J]

The inversion is not unique, but if you don't care which of the infinite choices there are for the 3D point, one possibility is,

X3d=pinv(P)*[x;y;1];

X3d=X3d(1:3)/X3d(4)

[Dekel Mashiach]

I have pixel in an image and I want to convrte it to 3D worlsd coordinates

[Matt J]

Yes, that was clear, and that is what I have given you.

However, it is a many-to-one inverse problem. There are many 3D points that correspond to the same image pixel, and my solution represents one of an infinite number of choices.

Answer 2

[Matt J]

If you have pixel coordinates of a 3D point imaged by two cameras, you can use the triangulate command to triangulate the 3D locations,