Shift detection is one of the fundamental tasks within the field of picture registration. With SDR (Shift Detection by Restoration) a robust signal-based procedure is given for detection of real shifts of pictures. On the basis of a model which contains various perturbances, the shifted delta impulse determining the shift is restored with methods of image restoration. By the use of the magnitude spectrum of two pictures also rotation and scaling can be detected by SDR.After a brief introduction to the basics of SDR, the procedure will be demonstrated at a further problem - Point Pattern Matching (PPM). A new extremely robust method is derived whereby pictures are generated from point patterns, which are used for the matching. In a second beginning an evaluation of the restored delta impulse is used, in order to determine weights for point correspondences. In [We95] the range of time complexity extends from