Patent Document ID: 20100177094
Application ID: 12665843
Patent Status: 0

Claim One:
1. A depiction arrangement for security papers, value documents, electronic display devices or other data carriers, having a raster image arrangement for depicting a specified three-dimensional solid that is given by a solid function f(x,y,z), having a motif image that is subdivided into a plurality of cells, in each of which are arranged imaged regions of the specified solid, a viewing grid composed of a plurality of viewing elements for depicting the specified solid when the motif image is viewed with the aid of the viewing grid, the motif image exhibiting, with its subdivision into a plurality of cells, an image function m(x,y) that is given by m ( x , y ) = f ( x K y K z K ( x , y , x m , y m ) ) · g ( x , y ) , where ( x K y K ) = ( x y ) + V ( x , y , x m , y m ) · ( ( ( ( x y ) + w d ( x , y ) ) mod W ) - w d ( x , y ) - w c ( x , y ) ) w d = ( x , y ) = W · ( d 1 ( x , y ) d 2 ( x , y ) ) and w c ( x , y ) = W · ( c 1 ( x , y ) c 2 ( x , y ) ) , wherein the unit cell of the viewing grid is described by lattice cell vectors w 1 = ( w 11 w 21 ) and w 2 = ( w 11 w 21 ) and combined in the matrix W = ( w 11 w 12 w 21 w 22 ) , and x m and y m indicate the lattice points of the W-lattice, the magnification term V(x,y, x m ,y m ) is either a scalar V ( x , y , x m , y m ) = ( z K ( x , y , x m , y m ) e - 1 ) , where e is the effective distance of the viewing grid from the motif image, or a matrix V(x,y, x m ,y m )=(A(x,y, x m ,y m )−I), the matrix A ( x , y , x m , y m ) = ( a 11 ( x , y , x m , y m ) a 12 ( x , y , x m , y m ) a 21 ( x , y , x m , y m ) a 22 ( x , y , x m , y m ) ) describing a desired magnification and movement behavior of the specified solid and I being the identity matrix, the vector (c 1 (x,y), c 2 (x,y)), where 0≦c 1 (x,y), c 2 (x,y)<1, indicates the relative position of the center of the viewing elements within the cells of the motif image, the vector (d 1 (x,y), d 2 (x,y)), where 0≦d 1 (x,y), d 2 (x,y)<1, represents a displacement of the cell boundaries in the motif image, and g(x,y) is a mask function for adjusting the visibility of the solid.