论文信息 - A Converse to the Jordan Curve Theorem for Digital Curves

A Converse to the Jordan Curve Theorem for Digital Curves

It is shown that a subset S of a digital picture is a simple closed curve if and only if its complement S ¯ has exactly two components, and every point of S is adjacent to both of these components.

Azriel Rosenfeld | A. Rosenfeld

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[4] Azriel Rosenfeld,et al. Connectivity in Digital Pictures , 1970, JACM.