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How to get point position in left camera reference with point position in right camera reference

Hello everybody,

This might be a simple questions but I am stuck on it, so any help would be really appreciated.

Reading the book "Learning OpenCV" written by Gary Bradski and Adrian Kaehler, I came upon the following relation relating the position of a point in the right camera reference to the left camera reference :

image description

Where R and T are the rotation matrix and translation vector between the 2 cameras.

As far as I know, a point in a reference Ox'y'z' can be expressed in the reference Oxyz by computing :

image description image description

So could anyone explain the relation found in the book?

Thank you.

How to get point position in left camera reference with point position in right camera reference

Hello everybody,

This might be a simple questions but I am stuck on it, so any help would be really appreciated.

Reading the book "Learning OpenCV" written by Gary Bradski and Adrian Kaehler, I came upon the following relation relating the position of a point in the right camera reference to the left camera reference :

image description

Where R and T are the rotation matrix and translation vector between the 2 cameras.

As far as I know, a point in a reference Ox'y'z' can be expressed in the reference Oxyz by computing :

image description image description

It is said just afterwards in the book that using image description (which comes from what I just said above), we can finally get

image description

So could anyone explain the relation these relations found in the book?

Thank you.