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Map Preserving Local Properties of a Digital Image

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Abstract

In order to study digital topological properties of a k-surface in Z n, we generalize the topological number in Bertrand (Pattern Recogn. Lett. 15:1003–1011, 1994). Furthermore, we show that a local (k 0,k 1)-isomorphism preserves some digital-topological properties, such as a generalized topological number and a simple k 0-point, and prove that a local (k 0,k 1)-isomorphism takes a simple k 0-surface in \(\mathbf{Z}^{n_{0}}\) into a simple k 1-surface in \(\mathbf{Z}^{n_{1}}\) .

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  1. College of Environmental Science and Engineering, Honam University, Gwangju, 506-714, Republic of Korea

    Sang-Eon Han

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Han, SE. Map Preserving Local Properties of a Digital Image. Acta Appl Math 104, 177–190 (2008). https://doi.org/10.1007/s10440-008-9250-2

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  • DOI: https://doi.org/10.1007/s10440-008-9250-2

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