## Abstract

We present a new method of segmenting planar regions when an uncalibrated camera undergoes (near) pure translation. We show that, for pure translation parallel to a plane, the relation between the two views, when expressed in a reciprocal-polar (1/r, theta) space, is a pure shift in the 1/r dimension for a given value of theta. Furthermore, we show that the magnitude of these shifts follows a sinusoidal form along the theta direction over a maximum of pi radians. This allows planar image motion to be accurately detected and recovered by 1D correlation. Simultaneous planar pixel grouping, and recovery of the plane homography, thus amounts to a robustly fitting a sinusoid to shifts of maximum correlation in reciprocal-polar space. The phase of the recovered sinusoid corresponds to the orientation of the vanishing line of the plane and the amplitude is related to the magnitude of the camera translation.

Original language | English |
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Title of host publication | IMAGE ANALYSIS AND RECOGNITION, PT 1, PROCEEDINGS |

Editors | A Campilho, M Kamel |

Place of Publication | BERLIN |

Publisher | Springer |

Pages | 638-646 |

Number of pages | 9 |

ISBN (Print) | 3-540-23223-0 |

Publication status | Published - 2004 |

Event | International Conference on Image Analysis and Recognition - Oporto Duration: 29 Sep 2004 → 1 Oct 2004 |

### Conference

Conference | International Conference on Image Analysis and Recognition |
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City | Oporto |

Period | 29/09/04 → 1/10/04 |