@article{Рибін_Літвінцев_Сушко_2015, title={Normal orthogonal transformation algorithm of 2D image}, url={https://radap.kpi.ua/radiotechnique/article/view/1088}, DOI={10.20535/RADAP.2015.63.21-32}, abstractNote={A new 2D transformation algorithm based on algorithm of matrix operator formation in 1D discrete orthogonal transformation is presented. Complexity 2D algorithm creation is a high order of matrix operator when 2D image is presented as a sequence of rows (columns). In this case the order of matrix operator is <em>N</em><sup>2 </sup>for image matrix of <em>N</em> order. As result, the number of its elements is equal to <em>N</em><sup>4</sup>, which is equivalent of huge figure for image, having size <em>N</em> = 256…1024. A simple algorithm for creation of matrix operator in 2D discrete transformation was obtained. It allows reduce to <em>N</em><sup>3 </sup>the memory volume, required for transform coefficient calculation. It makes possible to classify images having matrix of order <em>N</em> ≈ 256…1024. The algorithm is illustrated on the example selected from the ease of inspection results.}, number={63}, journal={Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia}, author={Рибін, О.І. and Літвінцев, С.М. and Сушко, І.О.}, year={2015}, month={Dec.}, pages={21-32} }