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Information × Registration Number 0212U004102, 0111U009029 , R & D reports Title Creation and development of information technology for protection of securities based on new digital processing methods of graphic information popup.stage_title Head Medykovskyy Mykola, Доктор технічних наук Registration Date 27-01-2012 Organization Lviv Polytechnic National University popup.description2 Principles of the information technology of secure printing of securities were developed with the use of mathematical tools of the Ateb-functions theory which create the layout of securities with unique protective graphic elements. Key element of the proposed approach is that protective graphic elements are built on the same analytical dependence which allows increasing the degree and reliability of protection. New methods and algorithms for creating protective graphic elements based on the systems of differential equations with the power nonlinearity were developed. Graphic elements form the basis, with a single element being a graph of the Ateb-function with predetermined parameters, which provides unique curves. Graphic elements are embedded in the electronic version of the security by the developed algorithms, which helps determine its presence at every point of the security layout. A library of single graphic elements of Ateb-functions in the text form was created. Experimental samples of polygraphic films and forms of background grids were manufactured. New methods and algorithms of encoding graphic pictures through the use of different similarity types and classes of basic Hadamard matrices were developed. Hadamard matrices were classified to create a complete library of basic Hadamard encoding structures. The total number of the ordered Hadamard encoding structures, each of which decodes arbitrary graphic picture, was determined. A new coding method that encodes irreducible graphic picture was designed and tested. Experimental samples of film assemblies with security elements were manufactured. Keywords: secure printing of securities, protective graphic elements of the Ateb-function, Hadamard matrices. Product Description popup.authors Вербенко І.О. Дідух Л.А. Дережицький І.Й Дронюк І.М. Ковальський Б.М. Козловський М.П. Крик М.Р. Легкий Л.В. Миронюк О.С. Назаркевич М. А. Ничка В.І Ривюк М.М. Фітьо В.М. Шовгенюк М.П. popup.nrat_date 2020-04-02 Close