The object of the research is the processes of stereoscopic processing of video-computer 3D-information. The subject of the research is the specialized stereoscopic video-computer 3D systems with skeleton graphics. The aim of the research is to increase the level of productivity, realism and adequacy of the perception of complex composite stereo images during the construction of specialized video-computer 3D systems at the expense of the development of the theoretical basis and structural and algorithmic foundations for the formation and analysis of frame and solid-frame stereo images. Applied: methods of analytic geometry, linear algebra, perspective geometry, stereoscopy, machine graphics, number theory and numerical methods; Methods of differential and integral calculus, theory of systems of algebraic equations, Taylor transforms G. E. Puhov, boolean algebra, machine arithmetic in residual classes, computer simulation and stereomodelling. Theoretical and practical results. For the first time: 1) "Operator method of stereo transformations" for the constant, variable and 3 rotary angles observation, as well as for the constant observation angle in systems containing a flat mirror that establishes a reciprocal feedback between 3D and stereo coordinates, which allowed to solve the correspondence problem, and the problem of the boundary stereo effect for frame graphic stereos. 2) The mathematical models of new graphic stereoprocesses for frame structures are developed. 3) Based on the theory of stereo transitions, problems of geometric distortion analysis, which are caused by another basis and / or observation angle for different stereosystems, are solved and solved. 4) Structural-algorithmic bases for the construction of a stereoscopic television-computing complex and a method of computer-aided graphic frame-based stereomodelling, which is implemented on the basis of this complex, are developed. The scientific novelty of the results obtained is the development of the theory and structural and algorithmic foundations for the construction of specialized high-performance realistic video-computer stereoscopic 3D systems that have the ability to increase the level and speed of adequate perception of complex frame and solid-frame stereo images; and is determined by a number of provisions, some of which are said above. The practical significance of the obtained results is that on the basis of the obtained theoretical positions a number of high-performance stereoscopic specialized 3D complexes and systems, characterized by a high level of realism and adequacy of the perception of complex frame and frame-frame information, have been developed. The results of the dissertation work were introduced at a number of enterprises (TSNIIHM, Spetsatom). Sphere of use - energy, physics, aviation, defense, medicine and others.