muskie82 / MonoGS

[CVPR'24 Highlight & Best Demo Award] Gaussian Splatting SLAM
https://rmurai.co.uk/projects/GaussianSplattingSLAM/
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the derivation of the rotation matrix W with respect to the Lie algebra #121

Open ZZy129326999 opened 4 months ago

ZZy129326999 commented 4 months ago

I would like to ask you about the derivation of the rotation matrix W with respect to the Lie algebra in "MonoGS". Why can it be derivated directly in this way? Why not derive W@Sigma (3D covariance)? Thank you very much!

ZZy129326999 commented 4 months ago

Can I understand that the corresponding Lie algebra cross-product rotation matrix is ​​obtained through the rotation matrix as the derivative of the rotation matrix, and then the derivative of the rotation matrix is ​​used to derive the three rotation components of the Lie algebra respectively?