Modelling of normalized raster transformation for rhombic elements

  1. Home
  2. Archive
  3. № 2 (61)
Author(s) Collection number Pages Download abstract Download full text
Lutskiv M. M., Гунько Д. Т. № 2 (61) 30-38 Image Image

A mathematical model of normalized raster transformation for rhombic elements has been developed, which makes it possible to calculate and design characteristics of normalized raster transformation, on the basis of which scaling characteristics can be constructed for different raster lines, which is convenient for practical application. The results of simulation modelling are presented, the gradation characteristics of the normalized raster transformation are constructed, their properties are analysed. The characteristic of rasterization in relative units is presented. The rasterization cha­rac­teristic is an S-shaped curve. To objectively quantify the raster transformation, it is sug­gested to determine the deviation of the characteristic from the linear one. The graph of the deviation of the characteristic from the linear, which is given as a percentage, is a sine-shaped curve. At the beginning, the deviation is negative, gradually increases and reaches a minimum value — 12.4%, goes through 0, reaches a maximum value — 14.5% and goes to zero. Since the relative area of the raster element corresponds to the optical density of the image, the midtones will lighten the image, and the grayscale will darken the image compared to the original. Therefore, bitmap transformation distorts the tone, so it needs to be adjusted at the stage of preparing the image for printing.

Keywords: model, raster transformation, scheme, rhombus, rationing, area, cha­racteristics, quality, analysis.

doi: 10.32403/1998-6912-2020-2-61-30-38


  • Baranovskyi, I. V., & Yukhymovych, Yu. P. (1998). Polihrafichna pererobka obrazotvorchoi informatsii. Kyiv-Lviv : IZMN (in Ukrainian).
  • Baranovskyi, I. V., Lutskiv, M. M., Fil, L. V., & Chornozubova, H. A. (2013). Pobudova i analiz kharakterystyky rastruvannia: Naukovi zapysky [Ukrainskoi akademii drukarstva], 102–110 (in Ukrainian).
  • Baranovskyi, I. V. (2013). Analiz kharakterystyky rastruvannia dlia rombichnoho rastro­voho elementa: Kompiuterni tekhnolohii drukarstva, 30, 750–157 (in Ukrainian).
  • Baranovskyi, I. V., Lutskiv, M. M., Fil, L. V., & Chornozubova, H. A. (2013). Pobudova kha­rakterystyk rastruvannia tsyfrovoho zrazka tonalnoi shkaly: Kompiuterni tekhnolohii dru­karstva, 29, 175–184 (in Ukrainian).
  • Blanter, D. (1999). Skanirovanie i rastrirovanie izobrazhenij. Moskva : EKOM (in Russian).
  • Gonsales, R., & Vuds, R. (2012). Cifrovaja obrabotka zobrazhenij. Moskva : Tehnosfera (in Russian).
  • Gul’tjaev, A. K. (1999). MATLAB 5.2 Imitacionnoe modelirovanie v srede Windows. Sankt-Peterburg : KoronaPrint (in Russian).
  • Kuznecov, Ju. V. (2002). Tehnologija obrabotki izobrazitel’noj informacii. Sankt-Peter­burg : Peterburgskij in-t pechati (in Russian).
  • Lutskiv, M. M. (2012). Tsyfrovi tekhnolohii drukarstva. Lviv : UAD (in Ukrainian).
  • O’Kvin, D. (2003). Dopechatnaja podgotovka. Rukovodstvo dizajnera. Moskva : Izdatel’s’kij dom «Vil’jams» (in Russian).
  • Predko, L. S. (2009). Proektuvannia dodrukarskykh protsesiv. Lviv : UAD (in Ukrainian).
  • Samarin, Ju. N. (2002). Dopechatnoe oburodovanie. Konstrukcii i raschet. Moskva : MGUP (in Russian).
  • Stefanyshyn, N. I., & Shovheniuk, M. V. (2004). Suchasni tekhnolohii tsyfrovoho rastruvannia: Kompiuterni tekhnolohii drukarstva, 6, 101–109 (in Ukrainian).
  • Fil, L. V. (2014). Udoskonalennia tekhnolohichnoho protsesu rastruvannia na stadii formu­van­nia i lineraryzatsii drukarskykh elementiv. Lviv : UAD (in Ukrainian).