Digital Jordan curves |
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Authors: | Josef Šlapal |
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Institution: | Department of Mathematics, Technical University of Brno, 616 69 Brno, Czech Republic |
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Abstract: | A digital Jordan curve theorem is proved for a new topology defined on Z2. This topology is compared with the classical Khalimsky and Marcus topologies used in digital topology. We show that the Jordan curves with respect to the topology defined, unlike the Jordan curves with respect to any of the two classical topologies mentioned, may turn at the acute angle . We also discuss a quotient topology of the new topology. |
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Keywords: | 54D05 54D10 68U05 68U10 68R10 |
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