APPLICATION OF TIKHONOV REGULARIZATION METHOD DURING FORMATION OF INTERPOLATING SPLINES FOR MANIFOLDS
A method of formation of interpolating splines for the points of manifolds that are elements of the one parameter Lie groups SO(3) and SE(3) is proposed in the paper. The method is realized for Lie groups and based on the algorithm of regularization developed by academician A. Tikhonov.
Keywords: interpolation, method of A. Tikhonov regularization, Lie group, screw motion of rigid body.
