Patent ID: 8891903

Claim:
A method for scaling two-dimensional structures with a scaling factor, wherein a source structure is transformed into a target structure and the source and target structure are each constructed from regularly arranged structure elements, the method comprising: defining a first scheme comprising structure elements P ij associated with the source structure and arranged in m rows and n columns, subdividing at least a portion of the structure elements P ij of the first scheme into sub-structure elements arranged in p rows and q columns, with each row and each column having a corresponding sub-structure element P S kl , defining a second scheme P D comprising a subset of the sub-structure elements P S kl , and at least one distinguished sub-structure element P D *, superposing the first scheme with the second scheme P D so as to overlap the at least one distinguished sub-structure element P D * step-by-step with at least a portion of the sub-structure elements P S kl of the first scheme, for each step of superposing, constructing a coefficient matrix H kl adapt having a dimension that is independent of the scaling factor and that is assigned to the sub-structure element P S kl of the first scheme, with which the distinguished sub-structure element P D * is overlapped, wherein the coefficients h kl ij of the coefficient matrix H kl adapt define a weight of the structure element P ij of the i-th row and j-th column of the first scheme, and defining a structure element of the target structure by evaluating at least a portion of the structure elements P ij of the first scheme and at least a portion of the matrices H kl adapt .