### Abstract

There are several algorithms for N-dimensional Hilbert scanning, such as the Butz algorithm and the Quinqueton algorithm. The Butz algorithm is a mapping function using several bit operations such as shifting, exclusive OR, etc. On the other hand, the Quinqueton algorithm computes all addresses of this curve using recursive functions, but takes time to compute a one-to-one mapping correspondence. Both algorithms are complex to compute and both are difficult to implement in hardware. In this paper, we propose a new, simple, non-recursive algorithm for N-dimensional Hilbert scanning using lookup tables. The merit of our algorithm is that the computation is fast and the hardware implementation is much easier than previous ones.

Original language | English |
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Title of host publication | IEEE International Conference on Image Processing |

Editors | Anon |

Place of Publication | Los Alamitos, CA, United States |

Publisher | IEEE |

Pages | 1031-1034 |

Number of pages | 4 |

Volume | 2 |

Publication status | Published - 1996 |

Externally published | Yes |

Event | Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) - Lausanne, Switz Duration: 1996 Sep 16 → 1996 Sep 19 |

### Other

Other | Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) |
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City | Lausanne, Switz |

Period | 96/9/16 → 96/9/19 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Vision and Pattern Recognition
- Hardware and Architecture
- Electrical and Electronic Engineering

### Cite this

*IEEE International Conference on Image Processing*(Vol. 2, pp. 1031-1034). Los Alamitos, CA, United States: IEEE.

**Address generator of an N-dimensional Hilbert scan.** / Kamata, Seiichiro.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IEEE International Conference on Image Processing.*vol. 2, IEEE, Los Alamitos, CA, United States, pp. 1031-1034, Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, 96/9/16.

}

TY - GEN

T1 - Address generator of an N-dimensional Hilbert scan

AU - Kamata, Seiichiro

PY - 1996

Y1 - 1996

N2 - There are several algorithms for N-dimensional Hilbert scanning, such as the Butz algorithm and the Quinqueton algorithm. The Butz algorithm is a mapping function using several bit operations such as shifting, exclusive OR, etc. On the other hand, the Quinqueton algorithm computes all addresses of this curve using recursive functions, but takes time to compute a one-to-one mapping correspondence. Both algorithms are complex to compute and both are difficult to implement in hardware. In this paper, we propose a new, simple, non-recursive algorithm for N-dimensional Hilbert scanning using lookup tables. The merit of our algorithm is that the computation is fast and the hardware implementation is much easier than previous ones.

AB - There are several algorithms for N-dimensional Hilbert scanning, such as the Butz algorithm and the Quinqueton algorithm. The Butz algorithm is a mapping function using several bit operations such as shifting, exclusive OR, etc. On the other hand, the Quinqueton algorithm computes all addresses of this curve using recursive functions, but takes time to compute a one-to-one mapping correspondence. Both algorithms are complex to compute and both are difficult to implement in hardware. In this paper, we propose a new, simple, non-recursive algorithm for N-dimensional Hilbert scanning using lookup tables. The merit of our algorithm is that the computation is fast and the hardware implementation is much easier than previous ones.

UR - http://www.scopus.com/inward/record.url?scp=0030388882&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030388882&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030388882

VL - 2

SP - 1031

EP - 1034

BT - IEEE International Conference on Image Processing

A2 - Anon, null

PB - IEEE

CY - Los Alamitos, CA, United States

ER -