Is it possible find the jacobian of inverse radial distortion (cv2.undistortPoints)?

0
votes

I am writing my camera calibration algorithm and encountered the following difficulty.

Given a pin hole camera model, the radial distortion is modeled by the following equation enter image description here enter image description here

where x, y is the ideal normalized image coordinate, x_head is the coordination of x after distorted.

The question is how to find the partial derivative of k1, k2, k3 for the inverse distortion function?

enter image description here

1
opencvimage-processingcomputer-vision

1 Answers

1
votes

The inverse function theorem applies to multivariate continuously differentiable functions too.

That said, unless you are doing some theorem-proving work, I am going to guess that you really do not need the inverse jacobian for calibrating a camera, and maybe you need to rethink your problem a little more.