Coherent Optically Performed Operations In A 4D Compound Space-Spatial Frequency Domain With Applications In Image Analysis And Quality Control

Two ways of representing 2D signals as 4D spectrograms and their relation to the Wigner Distribution Function (WDF) are discussed. Some methods for their coherent optical generation and suitable display, e.g. partially sampled, are given. Furthermore it is shown how the Local Power Spectra (LPS) representation serves for the computation of a kind of tex-ture gradient and how the Spectral Power Excerpts (SPE) represenation proved to be useful in automatic interferogram evaluation.