### Abstract

Integration and exploitation of information collection across a distributed network of assets usually requires the establishment and maintenance of registration of coordinates across the nodes of the network. Here 'registration' covers a range of possibilities, including clock synchronization and registration of frames of reference. The registration problem is posed in terms of network represented by a graph Γ with vertices corresponding to the sensors. Attached to the edges of the graph are noisy measurements of the 'difference' between the two coordinate systems. This 'difference' is expressed in terms of a member of a Lie group of coordinate transformations. Effectively, the registration problem is specified in terms of a connection on the edges, and becomes one of estimating a gauge transformation to align the coordinate systems across the network. The key descriptor of the difficulty of the estimation problem, the Fisher information, can be simply expressed in terms of the geometry of the situation and provides a link between the homological chains and cochains for the graph.

Original language | English (US) |
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Title of host publication | 2015 18th International Conference on Information Fusion, Fusion 2015 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1526-1532 |

Number of pages | 7 |

ISBN (Print) | 9780982443866 |

State | Published - Sep 14 2015 |

Event | 18th International Conference on Information Fusion, Fusion 2015 - Washington, United States Duration: Jul 6 2015 → Jul 9 2015 |

### Other

Other | 18th International Conference on Information Fusion, Fusion 2015 |
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Country | United States |

City | Washington |

Period | 7/6/15 → 7/9/15 |

### Fingerprint

### ASJC Scopus subject areas

- Information Systems
- Signal Processing
- Computer Networks and Communications

### Cite this

*2015 18th International Conference on Information Fusion, Fusion 2015*(pp. 1526-1532). [7266738] Institute of Electrical and Electronics Engineers Inc..

**Gauge-invariant registration in networks.** / Howard, Stephen D.; Cochran, Douglas; Moran, William.

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

*2015 18th International Conference on Information Fusion, Fusion 2015.*, 7266738, Institute of Electrical and Electronics Engineers Inc., pp. 1526-1532, 18th International Conference on Information Fusion, Fusion 2015, Washington, United States, 7/6/15.

}

TY - GEN

T1 - Gauge-invariant registration in networks

AU - Howard, Stephen D.

AU - Cochran, Douglas

AU - Moran, William

PY - 2015/9/14

Y1 - 2015/9/14

N2 - Integration and exploitation of information collection across a distributed network of assets usually requires the establishment and maintenance of registration of coordinates across the nodes of the network. Here 'registration' covers a range of possibilities, including clock synchronization and registration of frames of reference. The registration problem is posed in terms of network represented by a graph Γ with vertices corresponding to the sensors. Attached to the edges of the graph are noisy measurements of the 'difference' between the two coordinate systems. This 'difference' is expressed in terms of a member of a Lie group of coordinate transformations. Effectively, the registration problem is specified in terms of a connection on the edges, and becomes one of estimating a gauge transformation to align the coordinate systems across the network. The key descriptor of the difficulty of the estimation problem, the Fisher information, can be simply expressed in terms of the geometry of the situation and provides a link between the homological chains and cochains for the graph.

AB - Integration and exploitation of information collection across a distributed network of assets usually requires the establishment and maintenance of registration of coordinates across the nodes of the network. Here 'registration' covers a range of possibilities, including clock synchronization and registration of frames of reference. The registration problem is posed in terms of network represented by a graph Γ with vertices corresponding to the sensors. Attached to the edges of the graph are noisy measurements of the 'difference' between the two coordinate systems. This 'difference' is expressed in terms of a member of a Lie group of coordinate transformations. Effectively, the registration problem is specified in terms of a connection on the edges, and becomes one of estimating a gauge transformation to align the coordinate systems across the network. The key descriptor of the difficulty of the estimation problem, the Fisher information, can be simply expressed in terms of the geometry of the situation and provides a link between the homological chains and cochains for the graph.

UR - http://www.scopus.com/inward/record.url?scp=84960517273&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84960517273&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84960517273

SN - 9780982443866

SP - 1526

EP - 1532

BT - 2015 18th International Conference on Information Fusion, Fusion 2015

PB - Institute of Electrical and Electronics Engineers Inc.

ER -