The 3D ellipse is represented by its center and the vectors for its major and minor axes and the 2D ellipse by its center, the length of the major and minor axes and the angle between the major axis and the x-axis.

Thanks in advance. :)

The 3D ellipse is represented by its center and the vectors for its major and minor axes and the 2D ellipse by its center, the length of the major and minor axes and the angle between the major axis and the x-axis. I need the general projection on an axis-aligned plane, discarding a coordinate.

The problem is that the axes after projection are no longer are aligned to the true axes of the 2D ellipse.