Hi
I have multiple rotation matrices in the form of cell aray (attached).
I would like to calculate an average or a mean matrix and variability around the mean (standard deviation)
So far I have tried converting the rotation matrices to quaternions and using the meanrot to calculate the quaternion mean. But I do not know how to calculate the variability (STD or variance).
Reading around this, one approach may be to calculate the diffrence between the quaternion mean and each quaternion and porceed (not sure how)
The other way is to use the vector for the mean and the vectors for each rotation matrix; then calculate the diffrence between mean vector and each vector.
I am not sure which is mathematically correct and also how to do that.

ThanksHi
I have multiple rotation matrices in the form of cell aray (attached).
I would like to calculate an average or a mean matrix and variability around the mean (standard deviation)
So far I have tried converting the rotation matrices to quaternions and using the meanrot to calculate the quaternion mean. But I do not know how to calculate the variability (STD or variance).
Reading around this, one approach may be to calculate the diffrence between the quaternion mean and each quaternion and porceed (not sure how)
The other way is to use the vector for the mean and the vectors for each rotation matrix; then calculate the diffrence between mean vector and each vector.
I am not sure which is mathematically correct and also how to do that.

Thanks Hi
I have multiple rotation matrices in the form of cell aray (attached).
I would like to calculate an average or a mean matrix and variability around the mean (standard deviation)
So far I have tried converting the rotation matrices to quaternions and using the meanrot to calculate the quaternion mean. But I do not know how to calculate the variability (STD or variance).
Reading around this, one approach may be to calculate the diffrence between the quaternion mean and each quaternion and porceed (not sure how)
The other way is to use the vector for the mean and the vectors for each rotation matrix; then calculate the diffrence between mean vector and each vector.
I am not sure which is mathematically correct and also how to do that.

Thanks mean rotation, rotation matrix, averaging rotations MATLAB Answers — New Questions

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