Removal of image segmentation boundary errors using an N-ary morphological operator

In difficult image segmentation problems, multidimensional feature vectors from filter banks provide effective classification within homogeneous regions. However, such bandlimited feature vectors often exhibit transitory errors at the boundaries between two regions. At boundaries, the feature vector may make a transition through a region of feature space that is incorrectly assigned to a third class. To remove such errors, an N-ary morphological operator is proposed. The overall effect of the proposed operator resembles an N-ary morphological erosion followed by an N-ary dilation.