### Abstract

This paper explores two issues which are relevant in practical halftoning situations on the CNN Universal Machine: block processing of large images with small CNN arrays, and the use of no larger than 3×3 templates. It is shown that block processing can be performed without noticeable boundary artifacts by careful selection of boundary cell values. In this example, a standard 3×3 halftoning template is used, which is known to produce halftones of moderate quality. Higher quality halftones can be obtained only by using larger templates. To overcome this limitation, a CNNUM algorithm is introduced which uses only a 3×3 template but emulates a much larger effective template through an iterative procedure. The method is to discretize the CNN transient in time and then implement the spatial correlations (template operations) at each time step with a CNN transient. An A-B-template pair was designed for a single CNN transient to approximate a very simple linear filter model of the human visual system. The resulting discrete-time system was then analyzed in the linear region to choose the optimal time step. The iterative procedure is demonstrated to produce a visually pleasing halftone.

Original language | English |
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Pages | 337-342 |

Number of pages | 6 |

Publication status | Published - Jan 1 1998 |

Event | Proceedings of the 1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA - London, UK Duration: Apr 14 1998 → Apr 17 1998 |

### Other

Other | Proceedings of the 1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA |
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City | London, UK |

Period | 4/14/98 → 4/17/98 |

### ASJC Scopus subject areas

- Software

### Cite this

*Some methods for practical halftoning on the CNN universal machine*. 337-342. Paper presented at Proceedings of the 1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA, London, UK, .