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. The base band grating layer, the revealing line grating layer and the resulting band moiré image layout may have a rectilinear or a curvilinear layout. 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. 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, medical drugs, products with affixed labels, watches).