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<p>Chen and Yan (1989) presented a result on zero crossings of boundary curvature under morphological openings. In this correspondence, it is shown, by means of a counter example, that this result is not correct. An analysis of the counter example shows where Chen and Yan go wrong and determines a class of images for which their theorem holds.</p>
image processing; mathematical morphology; zero crossings; boundary curvature; morphological openings

P. Nacken, "Openings Can Introduce Zero Crossings in Boundary Curvature," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 16, no. , pp. 656-658, 1994.
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