### 抄録

We consider a problem of recovering motion of an object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems, and the condition, established as a necessary and sufficient condition, turns out to be the controllability of a modified linear system. Such an analysis is essential when we develop and use any algorithms involving motion parameter identification. Finally, we include numerical results by employing the extended Kalman filter.

元の言語 | English |
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ホスト出版物のタイトル | Proceedings of the IASTED International Conference on Modelling, Identification and Control |

編集者 | M.H. Hamza |

ページ | 103-108 |

ページ数 | 6 |

巻 | 23 |

出版物ステータス | Published - 2004 |

外部発表 | Yes |

イベント | Proceedings of the 23rd IASTED International Conference on Modelling, Identification, and Control - Grindelwald, Switzerland 継続期間: 2004 2 23 → 2004 2 25 |

### Other

Other | Proceedings of the 23rd IASTED International Conference on Modelling, Identification, and Control |
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国 | Switzerland |

市 | Grindelwald |

期間 | 04/2/23 → 04/2/25 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### これを引用

*Proceedings of the IASTED International Conference on Modelling, Identification and Control*(巻 23, pp. 103-108). [412-224]

**Motion recovery of moving objects under perspective stereo vision.** / Kano, Hiroyuki; Fujioka, Hiroyuki; Chen, Xinkai; Sato, Takehito.

研究成果: Conference contribution

*Proceedings of the IASTED International Conference on Modelling, Identification and Control.*巻. 23, 412-224, pp. 103-108, Proceedings of the 23rd IASTED International Conference on Modelling, Identification, and Control, Grindelwald, Switzerland, 04/2/23.

}

TY - GEN

T1 - Motion recovery of moving objects under perspective stereo vision

AU - Kano, Hiroyuki

AU - Fujioka, Hiroyuki

AU - Chen, Xinkai

AU - Sato, Takehito

PY - 2004

Y1 - 2004

N2 - We consider a problem of recovering motion of an object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems, and the condition, established as a necessary and sufficient condition, turns out to be the controllability of a modified linear system. Such an analysis is essential when we develop and use any algorithms involving motion parameter identification. Finally, we include numerical results by employing the extended Kalman filter.

AB - We consider a problem of recovering motion of an object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems, and the condition, established as a necessary and sufficient condition, turns out to be the controllability of a modified linear system. Such an analysis is essential when we develop and use any algorithms involving motion parameter identification. Finally, we include numerical results by employing the extended Kalman filter.

KW - Controllability

KW - Machine vision

KW - Motion recovery

KW - Perspective stereo vision

UR - http://www.scopus.com/inward/record.url?scp=11844255695&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11844255695&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:11844255695

VL - 23

SP - 103

EP - 108

BT - Proceedings of the IASTED International Conference on Modelling, Identification and Control

A2 - Hamza, M.H.

ER -