### Abstract

The image motion field for an observer moving through a static environment depends on the observer's translational and rotational velocities along with the distances to surface points. Given such a motion field as input we present a new algorithm for computing the observer's motion and the depth structure of the scene. The approach is a further development of subspace methods. This class of methods involve splitting the equations describing the motion field into separate equations for the observer's translational direction, the rotational velocity, and the relative depths. The resulting equations can then be solved successively, beginning with the equations for the translational direction. Here we show how this first step can be simplified considerably. The consequence is that the observer's velocity and the relative depths to points in the scene can all be recovered by successively solving three linear problems.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Workshop on Visual Motion |

Publisher | Publ by IEEE |

Pages | 124-131 |

Number of pages | 8 |

ISBN (Print) | 0818621532 |

State | Published - 1991 |

Event | Proceedings of the IEEE Workshop on Visual Motion - Princeton, NJ, USA Duration: Oct 7 1991 → Oct 9 1991 |

### Other

Other | Proceedings of the IEEE Workshop on Visual Motion |
---|---|

City | Princeton, NJ, USA |

Period | 10/7/91 → 10/9/91 |

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the IEEE Workshop on Visual Motion*(pp. 124-131). Publ by IEEE.

**Fast subspace algorithm for recovering rigid motion.** / Jepson, Allan D.; Heeger, David J.

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

*Proceedings of the IEEE Workshop on Visual Motion.*Publ by IEEE, pp. 124-131, Proceedings of the IEEE Workshop on Visual Motion, Princeton, NJ, USA, 10/7/91.

}

TY - GEN

T1 - Fast subspace algorithm for recovering rigid motion

AU - Jepson, Allan D.

AU - Heeger, David J.

PY - 1991

Y1 - 1991

N2 - The image motion field for an observer moving through a static environment depends on the observer's translational and rotational velocities along with the distances to surface points. Given such a motion field as input we present a new algorithm for computing the observer's motion and the depth structure of the scene. The approach is a further development of subspace methods. This class of methods involve splitting the equations describing the motion field into separate equations for the observer's translational direction, the rotational velocity, and the relative depths. The resulting equations can then be solved successively, beginning with the equations for the translational direction. Here we show how this first step can be simplified considerably. The consequence is that the observer's velocity and the relative depths to points in the scene can all be recovered by successively solving three linear problems.

AB - The image motion field for an observer moving through a static environment depends on the observer's translational and rotational velocities along with the distances to surface points. Given such a motion field as input we present a new algorithm for computing the observer's motion and the depth structure of the scene. The approach is a further development of subspace methods. This class of methods involve splitting the equations describing the motion field into separate equations for the observer's translational direction, the rotational velocity, and the relative depths. The resulting equations can then be solved successively, beginning with the equations for the translational direction. Here we show how this first step can be simplified considerably. The consequence is that the observer's velocity and the relative depths to points in the scene can all be recovered by successively solving three linear problems.

UR - http://www.scopus.com/inward/record.url?scp=0026262790&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026262790&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026262790

SN - 0818621532

SP - 124

EP - 131

BT - Proceedings of the IEEE Workshop on Visual Motion

PB - Publ by IEEE

ER -