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Several libraries dedicated to mathematical morphology exist. But they lack genericity, that is to say, the ability for operators to accept input of different natures-2D binary images, graphs enclosing floating values, etc. We describe solutions which are integrated in OLENA, a library providing morphological operators. We demonstrate with some examples that translating mathematical formulas and algorithms into source code is made easy and safe with OLENA. Moreover, experimental results show that no extra costs at run-time are induced.