### Abstract

An algorithm is presented which estimates 10 parameters for motion and structure of a rigid planar patch given point correspondences in a monocular image sequence under perspective projection. The rotational velocity is assumed constant and the rotation center arbitrary. The algorithm mainly consists of two steps. First, the 3-D space of (ω_{x}, ω_{y}, ω_{z}) is searched exhaustively and for each (ω_{x}, ω_{y}, ω_{z}) all the other parameters with the value of an objective function are computed linearly. Some of the (ω_{x}, ω_{y}, ω_{z}) and the corresponding structure values are used as the initial guesses in the second step. The objective function is iteratively minimized with respect to five variables for rotation and structure. The solution corresponding to the global minimum is used to obtain least squares estimates of the remaining unknowns, for translation and rotation center. It was experimentally found that the objective function converges well so that the 3-D space need not be densely searched. Results are presented for three image sequences, two simulated and one real.

Original language | English |
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Title of host publication | Unknown Host Publication Title |

Place of Publication | Piscataway, NJ, United States |

Publisher | Publ by IEEE |

Pages | 732-733 |

Number of pages | 2 |

ISBN (Print) | 0818621486 |

Publication status | Published - 1991 Dec 1 |

Event | Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Maui, HI Duration: 1991 Jun 3 → 1991 Jun 6 |

### Other

Other | Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition |
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City | Maui, HI |

Period | 91/6/3 → 91/6/6 |

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*(pp. 732-733). Piscataway, NJ, United States: Publ by IEEE.

**Estimation of motion and structure of planar surfaces from a sequence of monocular images.** / Sull, Sanghoon; Ahuja, Narendra.

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

*Unknown Host Publication Title.*Publ by IEEE, Piscataway, NJ, United States, pp. 732-733, Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Maui, HI, 91/6/3.

}

TY - GEN

T1 - Estimation of motion and structure of planar surfaces from a sequence of monocular images

AU - Sull, Sanghoon

AU - Ahuja, Narendra

PY - 1991/12/1

Y1 - 1991/12/1

N2 - An algorithm is presented which estimates 10 parameters for motion and structure of a rigid planar patch given point correspondences in a monocular image sequence under perspective projection. The rotational velocity is assumed constant and the rotation center arbitrary. The algorithm mainly consists of two steps. First, the 3-D space of (ωx, ωy, ωz) is searched exhaustively and for each (ωx, ωy, ωz) all the other parameters with the value of an objective function are computed linearly. Some of the (ωx, ωy, ωz) and the corresponding structure values are used as the initial guesses in the second step. The objective function is iteratively minimized with respect to five variables for rotation and structure. The solution corresponding to the global minimum is used to obtain least squares estimates of the remaining unknowns, for translation and rotation center. It was experimentally found that the objective function converges well so that the 3-D space need not be densely searched. Results are presented for three image sequences, two simulated and one real.

AB - An algorithm is presented which estimates 10 parameters for motion and structure of a rigid planar patch given point correspondences in a monocular image sequence under perspective projection. The rotational velocity is assumed constant and the rotation center arbitrary. The algorithm mainly consists of two steps. First, the 3-D space of (ωx, ωy, ωz) is searched exhaustively and for each (ωx, ωy, ωz) all the other parameters with the value of an objective function are computed linearly. Some of the (ωx, ωy, ωz) and the corresponding structure values are used as the initial guesses in the second step. The objective function is iteratively minimized with respect to five variables for rotation and structure. The solution corresponding to the global minimum is used to obtain least squares estimates of the remaining unknowns, for translation and rotation center. It was experimentally found that the objective function converges well so that the 3-D space need not be densely searched. Results are presented for three image sequences, two simulated and one real.

UR - http://www.scopus.com/inward/record.url?scp=0026390824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026390824&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026390824

SN - 0818621486

SP - 732

EP - 733

BT - Unknown Host Publication Title

PB - Publ by IEEE

CY - Piscataway, NJ, United States

ER -