Solodka V. Polygonal mesh objects processing methods development for television systems

Object - the process of creating three-dimensional objects in a grid of television systems. Subject of research - methods of spectral transformations polygonal-grid television facilities for the purpose of data compression geometric coordinates. Research methods - spectral transformation, Wavelet-analysis, three-dimensional interpolation functions affine transformation experiment in the medium MatLab. Theoretical and practical results: the first was proposed set of test grid three-dimensional objects for television systems to evaluate the quality of borders; found further development polygonal-net method to keep the scale of the transition facilities triangulated mesh equidistantly from step to step neekvidystantnym mesh; the first time the method of restructuring the grid three-dimensional images in a grid of equidistantly step, which is based on the transformation on the basis of spectral methods; improved algorithm for constructing Delaunay triangulation that allows you to scale the object using interpolation and decimation equidistantly on the grid; proposed interpolation method on equidistantly grids can improve the quality of three-dimensional images with different detail in a facility used in television production, and in the study of images of magnetic resonance imaging; the use of hierarchical spectral transformation on selected thresholds can increase the speed of recovery grid objects obtained based on Delaunay triangulation, allowing their use in television reproducing devices; Numerical results of bit rate and compression ratio grid three-dimensional objects with description and interlaced scanning, which allow to predict the values of image quality signal / noise ratio; Numerical results of the dependence of the signal / noise ratio of the angle of rotation relative to the center of three-dimensional grid coordinates of the object image after spectral transformation; prompted input thresholds significant coefficients Wavelet-transformation necessary to indicate levels of hierarchy; Numerical results acceptable error of three-dimensional grid coordinate recovery facilities after different hierarchical levels of spectral transformations to provide required compression ratio; set test grid objects offered in the dissertation, can subjectively evaluate horizontal, vertical and diagonal border at various affine transformations and other strains; research results have been used in studies of KU Center for Telemedicine "Odessa Regional Hospital" and in the classroom ONAT A.S. Popov Odessa State Academy of Technical Regulation and Quality.