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Original scientific paper

Mathematical Models of the Sinusoidal Screen Family

Tajana Koren orcid id orcid.org/0000-0001-6078-8571 ; Faculty of Graphic Arts, University of Zagreb, Zagreb, Croatia
Vilko Žiljak ; Faculty of Graphic Arts, University of Zagreb, Zagreb, Croatia
Maja Rudolf ; Faculty of Graphic Arts, University of Zagreb, Zagreb, Croatia
Nikolina Stanić-Loknar ; Faculty of Graphic Arts, University of Zagreb, Zagreb, Croatia
Aleksandra Bernašek ; Faculty of Graphic Arts, University of Zagreb, Zagreb, Croatia



Abstract

In this paper we will define a family of sinusoidal screening elements and explore the possibilities of their application in graphic arts, securities printing and design solutions in photography and typography editing. For this purpose mathematical expressions of sinusoidal families were converted into a Postscript language. The introduction of a random variable results in a countless number of various mutations which cannot be repeated without knowing the programming code itself. The use of the family of screens in protection of securities is thus of great importance. Other possible application of modulated sinusoidal screens is related to the large format color printing. This paper will test the application of sinusoidal
screens in vector graphics, pixel graphics and typography. The development of parameters in the sinusoidal screen element algorithms gives new forms defined within screening cells with strict requirements of coverage implementation. Individual solutions include stochastic algorithms, as well as the autonomy of screening forms in regard to multicolor printing channels.

Keywords

Sinusoidal Screening Family; Postscript Screen Cells; Security Print; Design With Individualized Screens

Hrčak ID:

74255

URI

https://hrcak.srce.hr/74255

Publication date:

18.11.2011.

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