Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
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This paper deals with the estimation properties of morphological filters in terms of edge localization and grey level contrast preservation in two dimensional spaces. It is shown that, at least in practice, a compromise between these two characteristics has to be done. In a first step, morphological filters are compared with linear and median filters. It is concluded that, an efficient edge localization can be achieved with morphological filters with reconstruction and not with median filters or with morphological openings or closings with structuring elements. In the case of strong noise, the good edge preservation provided by the reconstruction filters is obtained at the expense of the contrast estimation. In order to be able to tune this tradeoff, a new type of morphological filters, called filters with partial reconstruction, are proposed and studied.