Self-dual morphological operators and filters

@article{Heijmans1996SelfdualMO,
  title={Self-dual morphological operators and filters},
  author={Henk J. A. M. Heijmans},
  journal={Journal of Mathematical Imaging and Vision},
  year={1996},
  volume={6},
  pages={15-36}
}
The median operator is a nonlinear image transformation celebrated for its noise cleaning capacities. It treats the foreground and background of an image identically, i.e., it is self-dual. Unfortunately, the median operator has one major drawback: it is not idempotent. Even worse, subsequent iterations of a given image may lead to oscillations. This paper describes a general method for the construction of morphological operators which are self-dual. This construction is based upon the concept… CONTINUE READING
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