Silvio Jamil Ferzoli Guimaraes,  Neurimar J. Leite,  Michel Couprie,  Arnaldo de Albuquerque Araújo. 

The boundary identification represents an interesting and difficult problem in image process-ing, mainly if two at zones are separated by a fuzzy region (gradual transition). The most common operators work very well for sharp edges, but fail for gradual transitions. In this work, we have done a characterization for multi-scale gradient by a study of the opening residues. This characterization is useful to identify and classify sharp and gradual transitions between two consecutive at zones according to a size criterion.

http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/banon/2002/10.25.10.07

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