Nitsyn O. Geometry of psychophysical space and perspective

The thesis is devoted to development of the theory of geometrical modeling of psychophysical space, her experimental check and appendix to construction of perspective, which compensates deformations of the images watched at visualization of dynamical three-dimensional stages. Object of research is geometry of psychophysical space and mathematical device of prospect compensating deformation of the images noticed at visualization of dynamical three-dimensional stages. A subject of research is methods of reproduction of psychophysical processes of visual perception in systems of visualization of three-dimensional stages. Methods of research are elements of projective geometry, differential geometry, of the tensor analysis and of riemannian geometry, experimental psychology of visual perception and mathematical statistics. Novelty: creation of a new direction in the theory of the images based on the appendix of riemannian geometry to construction of perspective, which reflects geometrical properties of psychophysical space.