A new effective algorithm of speckle noise reduction was presented in the paper, which took the characteristics of the
multiplicative of speckle noise and the complexity of fringe pattern into account explicitly. The relationship expressions
are deduced between intensity and speckle noise from the intensity distribution of speckle pattern, which indicates that
the intensity ratio is equivalent to the speckle noise ratio in a neighborhood. Due to the complexity and correlativity of
fringe pattern information, it leads to the problems of uncertainties during the information processed, the algorithm of
speckle noise reduction was built based on exponent entropy, and the approximation precision based on rough set was
considered in order to preserve the detail information very well. The presented method has a preferable performance
based on the integrated visual and quantitative comparison. Because the filter parameters are adaptively determined by
the speckle noise coefficient in the local window, the presented method was able to remove the noise in fringe pattern,
and simultaneously preserve its edge effectively. The presented algorithm is effective for the laser speckle noise of fringe
pattern particularly.
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