问题
How do I generate a transformation matrix for rotating points/others by the angle between two lines/vectors/directions in CGAL?
2D is what I need. 3D is what I love.
回答1:
According to the manual you have these tools to work with:
Aff_transformation_2<Kernel> t ( const Rotation, Direction_2<Kernel> d, Kernel::RT num, Kernel::RT den = RT(1))approximates the rotation over the angle indicated by direction d, such that the differences between the sines and cosines of the rotation given by d and the approximating rotation are at most num/den each. Precondition: num/den>0 and d != 0.
Aff_transformation_2<Kernel> t.operator* ( s)composes two affine transformations.
Aff_transformation_2<Kernel> t.inverse ()gives the inverse transformation.
With them you should be able to compute the matrices corresponding to the two directions and use an identity along the lines of:
Mat(d1-d2) === Mat(d1)*Inv(Mat(d2))
to get what you want.
来源：https://stackoverflow.com/questions/765453/cgal-transformation-matrix-for-rotation-given-two-lines-vectors-directions