Mathematical model of the filtration process and improve the quality of television images in video information systems

The relevance and demanding of the dissertation the theme. Today in the field of information and communication technologies is paid more attention to the development of process control system for processing digital video images in the video-information systems. In the conditions of intensive development of modem information and communication systems increasing amount and the flow of information arc one of the most urgent problems of improving the quality of television images and control the filtering process by the redundant information. In this direction of information and communication technologies the leading countries of the world increased demand and requirements for improving methods of filtering and increasing the brightness of digital television images. «On the world stage revenue from digital television transmission in 2016 in the media was estimated at 7 billion US dollars, in the past five years achieved 23% economic efficiency of online TV».1
In the Republic of Uzbekistan held wide-ranging measures to address the challenges associated with an increase in the brightness of a digital television image, for the effective organization of measures for the automatic identification and timely elimination of noise and foreign elements in the images. In this area, including on the establishment of methods to increase brightness and filter images, intellectualization processing management processes digital image, the creation of specialized software-based complex improvement of methods to eliminate shifts and signalnyh distortions arise as a result of the additive, pulsed addaptivno-gaussnogo types influences in the processing of digital television images, a number of research projects.
In the world of one of the most important issues is the formation of digital TV images based on them improving process control system of image processing, the development of numerical models and algorithms for solving various problems of filtration of digital television images using Fourier and wavelet methods. In this area, carried out targeted research, including the attention given in the following areas: development sovershenstovat method of classification and selection criteria, monitoring and evaluation of image quality, the development of precision management of images for given values of pixels of medium intensity, creating modellirovaniya image processing algorithms , the development of process control methods to ensure level-definition television images. Conducting research on the above research areas confirms the relevance of the topic of this thesis.
This dissertation research to a certain extent is the implementation of the tasks stipulated in the Decree of President of Uzbekistan № PP-1741 dated April 17, 2012 «On State program of technical and technological transition to digital broadcasting in the Republic of Uzbekistan», and in the decree of the Cabinet of Ministers № 24 of 1 February, 2012 «On measures to create conditions for the further development of computerization and information and communication technologies in the field» as well as in other legal instruments adopted in this area.
The aim of the study is development of methods, algorithms and raster models of filtration processes and improve the quality of television images in the video information based on the use of mathematical models of systems with partial derivatives.
Scientific novelty of the research is as follows:
developed mechanism for the use of the Fourier transform, wavelet and discrete-cosine transform in the process of processing a television-dimensional images in video information systems on the basis of criteria taking into account the characteristics and limits of the boundary conditions;
developed a method for process control to ensure the required level of brightness and visual assessment of quality indicators of video images for given values of the average intensity of the pixels;
developed a mathematical model to describe the spatial - temporal processing digital video images and the corresponding algorithm for solving nonlinear two-parameter system;
the model of entropy encoding processing of sequential dynamic digital television images, as well as the method of edge enhancement and image segments in the video information systems;
developed methods and algorithms for the solution of problems to eliminate image defects in the processing of digital video images to video information systems by means of mathematical models using the theory of differential and discrete games;
developed methods for linear and nonlinear filtering increasing the brightness of the computer processing of static and dynamic video images based on the modeling of differential equations and the formation of non-linear game problems;
developed a method of eliminating shifts defects additive, pulsed and adaptive Gaussian nature using anisotropy filtration and separately-smooth image models.
Conclusion
According to the research doctoral dissertation on the theme «Mathematical models of filtration processes and improving quality of television pictures in video information systems» were made the following conclusions:
1. The processing of digital video images to video information systems using the methods of creating mathematical models, expressions using linear and nonlinear differential equations based on game theory analysis of the application of computing algorithms and software systems have defined the theoretical basis of the prospects and characteristics.
2. Create a filtering processing methods of static and dynamic video images based on differential equations, the validity of the mathematical correctness of their algorithms, develop appropriate computational algorithms and software systems helps automate the process of managing improve the clarity of images on the average intensity of pixels.
3. Transformations such as Fourier, discrete cosine and wavelet-based restrictions television image processing processes, criteria and parameters selected classification contributes to the creation of visual quality assessment methods for digital television images.
4. As a result of computational experiments and mathematical modeling based on differential game theory image processing solution is found to eliminate the time-phase shifts and adaptive defects, impulse and additive-gausnogo types of images.
5. Establishment of a mathematical model of television image processing in two parametrical nonlinear systems automate image management processes, eliminating shifts and time-phase defects through effective use of research results and computational experiments, detection and fdtering of their type in the images.
6. Development of a two-dimensional raster image of the object state model and modeling algorithms contentious states in the television image processing allows you to choose how to ensure the desired brightness distribution of pixels and image formation of nonlinear tasks of the game.
7. Improvement of ways to filter processing digital video images with temporary-phase shifts and defects can eliminate deficiencies in the transmission of images by optimization taking into account the characteristics of the pulses in the spectral imaging fields, the use of methods of adaptive anisotropic filtering and models of scparatcly-consistcnt images.
8. Create an image brightness control system through a series of Chebyshev matrix, adaptive control mechanism for processing images in a dynamic sequence estimation algorithm allows to develop the efficiency and accuracy in image processing.
9. The use of edge enhancement with image segmentation in video systems, model entropy coding of television images and linear filtering techniques images using Wiener Нора equations provide an opportunity to reduce defects and changes in television images by approximately 11 -26%, as well as increase the level of brightness images on 8.5%.