### Abstract

A discussion is presented of the relation between parallel and sequential transformations of the image from the following two viewpoints: (1) the power of the parallel and the sequential transformations are compared, where the neighborhood degree is used as the parameter. The neighborhood degree is defined in such a way that the point under consideration is counted as the first neighborhood; (2) the condition is sought for the equivalence between parallel and sequential transformations. The following results are obtained: the set of parallel transformations and the set of sequential transformation realizable with the neighborhood degree m, respectively, form the hierarchical structure with respect to m.

Original language | English |
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Pages (from-to) | 66-73 |

Number of pages | 8 |

Journal | Systems, computers, controls |

Volume | 14 |

Issue number | 2 |

Publication status | Published - Jan 1 1983 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Systems, computers, controls*,

*14*(2), 66-73.