document: Centroid detection based on optical correlation We propose three correlation-based methods to simultaneously detect the centroids of multiple objects in an input scene . The first method is based on the modulus of the moment function , the second method is based on squaring the moment function , and the third method works with a single intensity filter . These methods are invariant to changes in the position , orientation , and scale of the object and result in good noise-smoothing performance . We use spatial light modulators -LRB- SLMs -RRB- to directly implement the input of the image and filter information for the purpose of these approaches . We present results showing simulations from different approaches and provide comparisons between optical-correlation - and digital-moment-based methods . Experimental results corresponding to an optical correlator using SLMs for the centroid detection are also presented
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