Mathematical models of dynamic images on the base of hipercomplex algebra

Images models of dynamic 3 D grouped point objects on the maner of biquaternion vectors bunch are offered this paper. Linear space of biquaternion vectors bunch is considered. Scalar product and Euc lidian space, and Hilbert space of contour signals of dynamic 3 D -images are given. Biquaternion algebra isomorphism with special type complex matrixes of forth order is shown. Lorenz rotation in space-tim e are considered in biquaternion model. The basis functions for spectral analysis of biquaternion sign als on the base of non- brought representations of orthogonal group d O are designed.