The present invention relies on a band moiré image
layout model capable of predicting the band moiré
image layer layout produced when superposing a base band
grating layer of a given
layout and revealing line
grating layer of a given layout. Both the base band
grating layer and the revealing line grating layer may have a rectilinear or a curvilinear layout. The resulting band moiré image layout may also be rectilinear or curvilinear. Thanks to the band moiré image layout model, one can choose the layout of two
layers selected from the set of base band grating layer, revealing line grating layer and band moiré
image layer and obtain the layout of the third layer by computation, i.e. automatically. Base band grating
layers and revealing line grating
layers may be produced which yield, upon displacement of the revealing layer on top of the base layer or vice-versa, a band moiré image whose patterns move either along a predetermined direction or in the case of a concentric band moiré image, either inwards or outwards in respect to the center of the concentric moiré bands. In addition, it is possible to conceive a revealing line grating layer which when translated on top of the base band grating layer, generates a band moiré image which is subject to a periodic deformation. Furthermore, thanks also to the availability of a large number of geometric transformations and transformation variants (i.e. different values for the transformation constants), one may create documents having their own individualized document protection. A computing
system may automatically generate upon request an individualized protected security document having specific base band grating and revealing line grating layouts. The computing
system may then upon request generate and issue a security document incorporating the base band grating layer, a base band grating layer or a revealing line grating layer allowing to authenticate a previously issued security document. The presented methods may be used for creating an individualized protection for various categories of documents (banknotes, identity documents, checks, diploma,
travel documents, tickets) and valuable products (optical disks, CDs, DVDs, CD-ROMs, packages for medical drugs, products with affixed labels, watches).