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I actually managed to solve this problem. The general idea was correct, but:

  1. I was not understanding correctly the vector rotation notation the robot was giving. It was necessary to multiply the actual values by a factor.
  2. I created a new program that extracts directly from the robot and the pictures the matrixes that the algorithm requires and writes these values to a YML file.
  3. The CALIB_HAND_EYE_TSAI method wasn't giving me correct values. But with the four others, the values seem to converge to the actual values

Anyway, thank you for your help. I am stuck to get more precision in the algorithm, but that's for another question.