Dynamic tomography is a very active and well-promising domain of research in diagnostic medicine. The desired result of a dynamic 3D cone beam reconstruction algorithm, which is an image with a quality comparable to CT images of static objects, can provide many benefits to the clinical diagnosis and research.In this research work, a theoretical base for a 3D cone beam dynamic algebraic reconstruction algorithm is presented. The proposed deformation compensation, could give the desired results to the deformation compensation problem.