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Information × Registration Number 0218U005243, 0116U008657 , R & D reports Title Optimization calculations in computer graphics problems. popup.stage_title Head Lytvynenko Oleksandr, Доктор технічних наук Registration Date 06-07-2018 Organization National Aviation Univercity popup.description2 The aim of the study is to reduce the computational time when creating photorealistic images. To achieve this goal, the following research objectives are defined: - to analyze methods of creating photorealistic images by modern computer systems, on the basis of which to determine the most capacious in the computational plan of the problem; - to determine the task during the computation and on the basis of their decision to develop a partial method for calculating the image of the scene by typical primitives; - to offer a generalized model of calculations for creating photorealistic images based on known and accessible software and hardware solutions; - to develop the information technology of computing, which allows obtaining photorealistic images and provides the least amount of carrying out of settlement operations. The object of research is the creation of graphic objects based on the solution of computational tasks. The subject of research is the reduction of the number of computational operations when creating 3D objects by means of computer graphics. Research methods. To achieve the goal set in the work, the following research methods were used: analysis methods is assumed to determine the scientific problem; linear algebra is assume to obtain a formal solution in determining the point of intersection of the object of the scene and beam; methods of integral calculations in solving the problem of illumination of a scene; simulation is assumed to check the adequacy of mathematical models and to evaluate the effectiveness. Study boundaries. It is believed that computer facilities are equipped with appropriate hardware and software that allows you to perform the necessary calculations. Scientific novelty of the obtained results is that in the study: - on the basis of analysis of existing software, a technique for creating photorealistic animated images is developed, which differs from the existing sequence of operations in software packages and minimal time expenditures; - for the first time, a partial method for determining the ray of beams reflected from the primitive object of the scene, which is presented in barycentric coordinates, is invariant to affine transformations of the object and can provide additional information about the textural coordinates of the synthesized model; - the possible types of geometric primitives are analyzed and it is determined that the triangle is such that in the application of which in the simulation the least amount of calculations occurs at the greatest correct geometry; - the technique of determining the illumination of a synthesized object of a scene based on the solution of the integral equation of illumination of the Fredholm type 2 on the basis of the reduction of the number of rays reflected by the object on the basis of the Monte Carlo method is improved; - a parallel computing facility is proposed to reduce the calculation time of the proposed model of illumination. Numerical indicators of estimation of the efficiency of the proposed models are obtained. Product Description popup.authors Oгірко Ігор Васильович Артамонов Євген Борисович Вавіленкова Анастасія Ігорівна Глазок Олексій Михайлович Жолдаков Олександр Олексійович Кашкевич Іван Фуркатович Кашкевич Світлана Олександрівна Кучеров Дмитро Павлович Кучерява Ольга Миколаївна Литвиненко Олександр Євгенійович Масловський Борис Георгійович Нечипорук Олена Петрівна Огірко Ольга Ігоревна Сябрук Ігор Миколайович Халімон Наталія Федорівна popup.nrat_date 2020-04-02 Close