Abstract
Optical correlation is sensitive to out-of-plane rotations of the object in the input image. Such an out-of-plane rotation causes the correlation peak to degrade. Here, the degradation of this correlation peak is investigated and a model is proposed to explain its behavior for arbitrary convex objects. First an analytical expression is derived for the peak degradation caused by out-of-plane rotations of flat objects, which is equivalent to a scaling in one dimension. This analytical result compares favorably with experimental results obtained from computer simulation. The 1-D theoretical model is then generalized to explain the behavior of the correlation peak for out-of-plane rotations of arbitrary convex objects. Experimental results for the latter case are also provided.
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