## Abstract

The problem of automatic robust estimation of the epipolar geometry in cases where the correspondences are contaminated with a high percentage of outliers is addressed. This situation often occurs when the images have undergone a significant deformation, either due to large rotation or wide baseline of the cameras. An accelerated algorithm for the identification of the false matches between the views is presented. The algorithm generates a set of weak motion models (WMMs). Each WMM roughly approximates the motion of correspondences from one image to the other. The algorithm represents the distribution of the median of the geometric distances of a correspondence to the WMMs as a mixture model of outlier correspondences and inlier correspondences. The algorithm generates a sample of outlier correspondences from the data. This sample is used to estimate the outlier rate and to estimate the outlier pdf. Using these two pdfs the probability that each correspondence is an inlier is estimated. These probabilities enable guided sampling. In the RANSAC process this guided sampling accelerates the search process. The resulting algorithm when tested on real images achieves a speedup of between one or two orders of magnitude.

Original language | English |
---|---|

Pages (from-to) | 275-288 |

Number of pages | 14 |

Journal | International Journal of Computer Vision |

Volume | 80 |

Issue number | 2 |

DOIs | |

State | Published - Nov 2008 |

### Bibliographical note

Funding Information:This work was supported partly by grant 01-99-08430 of the Israeli Space Agency through the Ministry of Science Culture and Sports of Israel.

## Keywords

- Epipolar geometry estimation
- Robust methods
- Weak motion models

## ASJC Scopus subject areas

- Software
- Computer Vision and Pattern Recognition
- Artificial Intelligence