A Phase Locking Theory of Matching between Rotated Images by a Dynamic Link Architecture

Pattern recognition invariant to deformation or translation can be performed with the dynamic link architecture proposed by von der Malsburg. The dynamic link has been applied to some engineering examples e ciently, but has not yet been analyzed mathematically. We propose two models of the dynamic link architecture. Both models are mathematically tractable. The rst model can perform matching between rotated images. The second model can also do that, and can additionally detect common parts in a template image and in a data image. To analyze these models mathematically, we reduce each model's equation to a phase equation, showing the mathematical principle behind the rotating invariant matching process. We also carry out computer simulations to verify the mathematical theories involved.