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Openings Can Introduce Zero Crossings in Boundary Curvature
June 1994 (vol. 16 no. 6)
pp. 656-658

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.

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Index Terms:
image processing; mathematical morphology; zero crossings; boundary curvature; morphological openings
P.F.M. Nacken, "Openings Can Introduce Zero Crossings in Boundary Curvature," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 6, pp. 656-658, June 1994, doi:10.1109/34.295918
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