Optical EngineeringOptical recognition of three-dimensional objects with scale invariance using a classical convergent correlator
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We present a real-time method for recognizing threedimensional (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.