title: Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator
abstract: We present a real-time method for recognizing three-dimensional (3-D) objects with scale invariance. The 3-D information of the objects is codified in deformed fringe patterns using the Fourier transform profilometry technique and is correlated using a classical convergent correlator. The scale invariance property is achieved using two different approaches: the Mellin radial harmonic decomposition and the logarithmic radial harmonic filter. Thus, the method is invariant for changes in the scale of the 3-D target within a defined interval of scale factors. Experimental results show the utility of the proposed method
keyphrases: optical recognition scale invariance invariant classical convergent correlator real-time method 3-D information deformed fringe patterns Fourier transform profilometry technique scale invariance property Mellin radial harmonic decomposition logarithmic radial harmonic filter scale factors 3D object recognition