Multi-cameras on same coordinate system

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Scott Binks
Scott Binks on 27 Oct 2015
Commented: Dima Lisin on 16 Nov 2015
Hello folks,
First time poster here. I have a small project that I was hoping to use Matlab for and perhaps someone here can tell me if the computer vision toolbox is all I need, or if I can expect to write some custom code. I have 8 video feeds of a sporting event in my backyard. I have the same model cameras installed all around this small stage area in a circular fashion. I placed a rectangular checkerboard in the center (the day before), and all cameras could see it, and thus I have some calibration feeds. I want to register all of these cameras on a global coordinate system. That is to say, I need a way to know where every camera is relative to every other camera.
So far I've played around with the 'detectCheckerboardPoints' function, and it seems to work fine. But I have no real idea of where to start in terms of doing what I want. From some reading it seems that the computer vision toolbox is good at calibrating a stereo pair, but this is not my task. Is the vision toolbox able to solve my problem? I guess I need to know the rotation and translation of every camera in a global coord. system. Any guidance will be much appreciated.
Thanks,
-Scott

Answers (1)

Dima Lisin
Dima Lisin on 29 Oct 2015
Yes, you can use the Computer Vision System Toolbox for this. First, you have to calibrate each of your cameras individually, using the Stereo Camera Calibrator App. Then, since all the cameras can see the same checkerboard, you can use the extrinsics function to compute their respective rotations and translations. Then you can use the cameraMatrix function to get the camera projection matrices relating each camera to the common world coordinate system.
  11 Comments
Dima Lisin
Dima Lisin on 16 Nov 2015
It is relative to that checkerboard that you took a picture of with all your cameras. The checkerboard defines the world coordinate system. More specifically, the checkerboard defines the Z=0 plane. The X-axis goes to the right along the longer side of the checkerboard, the Y-axis goes down along the shorter side of the board, and the Z-axis points into the board. -t*R' is the camera's location in these world coordinates, and R' is the cameras orientation in those coordinates.
To verify this, you can plot checkerboard points that you get from the generateCheckerboardPoints function, and then plot the cameras using the plotCamera function.
By the way, it would have been easier to use the cameraCalbrator app than the estimateCameraParameters function for calibration.

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