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need some help with camera roll and billboarding

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Currenly my billboarding use the up and right vector of the camera, the problem is that when the camera roll (fligh sim style) the billboard will roll also. Anyone have a good suggestion on how to fix this? I got one but not sure if it''s a good way of doing it, I would have a backup up and right vectors and those only change when the camera perform pitch or yaw, for roll those 2 backup vectors will remain unchange then my billboard will use those 2 backup vectors.

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