On the Scale-Space Theorem of Chen and Yan

Authors:
Paul T. Jackway
Affiliations:
Univ. of Queensland, Brisbane, Australia
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1998

Citing 3
Cited 1

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Openings Can Introduce Zero Crossings in Boundary Curvature

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The Morphological Structure of Images: The Differential Equations of Morphological Scale-Space

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Signal Processing

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Abstract

In an earlier paper, Chen and Yan presented a theorem concerning zero crossings of boundary curvature under morphological openings. In this correspondence, we show by means of a counterexample a problem with this theorem and suggest how the theorem may be modified to make it correct.