Modelling of normalized raster transformation for rhombic elements

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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

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