Class of transforms invariant under shift, rotation, and scaling.

We introduce a new class of nonreversible transform that is simultaneously invariant under shift, rotation, and scaling. The algorithm is based on a general transformation where the kernel itself contains the function to be transformed. Thus the invariances are achieved by a kind of self-mapping. Preprocessing of the input signal, such as determination of the centroid or coordinate transformation, is not necessary. The transform can be used for multidimensional data. Fast implementation is possible by look-up tables.