### 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.

**RELATION BETWEEN PARALLEL AND SEQUENTIAL TRANSFORMATIONS ON DIGITAL IMAGES.** / Yamashita, Masafumi; Honda, Namio; Inagaki, Yasuyoshi.

Research output: Contribution to journal › Article

*Systems, computers, controls*, vol. 14, no. 2, pp. 66-73.

}

TY - JOUR

T1 - RELATION BETWEEN PARALLEL AND SEQUENTIAL TRANSFORMATIONS ON DIGITAL IMAGES.

AU - Yamashita, Masafumi

AU - Honda, Namio

AU - Inagaki, Yasuyoshi

PY - 1983/1/1

Y1 - 1983/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0020716809&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020716809&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0020716809

VL - 14

SP - 66

EP - 73

JO - Systems, computers, controls

JF - Systems, computers, controls

SN - 0096-8765

IS - 2

ER -