Guilloche Pattern Generation for creating visible watermark

computer science engineering

Guilloche is a decorative, architectural element and an engraving technique which is very intricate, yet precise, recursive pattern or design. Guilloche elements are created step by step. Firstly the basic structure is selected on which subsequent steps will be built. The basic figures are designed using concepts of co-ordinate geometry which will result in the guilloche element. Bases designed are: a line, a circle, an ellipse, a polygon, an ellipse’s arc, circumscribed polygon in circle and ellipse, stars concave and convex, floral pattern etc. The phase, the shifting, the frequency, the inclination and only after that the functions on filling the space between the given curves are set. The filling is a multitude of lines, built on the basis of two envelope curves with the use of chosen functions. Creation of guilloche elements on the base of cyclic functions enables to improve the quality of an image and controls every dot of a document. It was investigated that guilloches are formed by graphic primitives, such as a line, a poly-line, an arc, an oval, a rectangle etc. as well as other more difficult compositions: a border, a vignette, corners and baseline grids. Also the algorithm of guilloche elements creation based on cyclic functions that enable to improve quality of an image and performed control in every dot of a document is developed.

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