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A new set of non linear signal and image processing operators is presented. Their definition is based on the introduction of the statistical properties of Bayesian reconstruction in soft morphological operators. Statistical soft operators represent a trade-off between the noise cleaning properties of statistical morphology and the shape preservation properties of soft morphology. The main characteristic of these operators is the individualization of two parts within each structuring elementdoi:10.1109/icassp.1997.599535 dblp:conf/icassp/StringaR97 fatcat:skkcwi2vezbcxlb4rbhsgpw6ge