I have a rigid body that translates and/or rotates about an axis perpendicular to the screen. I have co-ordinates of four points on the rigid body. How can I get the co-ordinates of a unknown point on the rigid body?
I have untransformed data for all five points. I have the transformed data for four points. I wish to find the transformed co-ordinates of fifth point.
The point(center) about which the body is rotated is not known.
Can I form a linear equation with four known points to get the fifth unknown point? How to accommodate translation and rotation in the equation?