Paper Info

Title | ||
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Some properties of the E matrix in two-view motion estimation |

Abstract | ||
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In the eight-point linear algorithm for determining 3D motion/structure from two perspective views using point correspondences, the E matrix plays a central role. The E matrix is defined as a skew-symmetrical matrix (containing the translation components) postmultiplied by a rotation matrix. The authors show that a necessary and sufficient condition for a 3×3 matrix to be so decomposable is that one of its singular values is zero and the other two are equal. Several other forms of this property are presented. Some applications are briefly described |

Year | DOI | Venue |
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1989 | 10.1109/34.41368 | Pattern Analysis and Machine Intelligence, IEEE Transactions |

Keywords | Field | DocType |

matrix algebra,pattern recognition,picture processing,3D motion determination,E matrix,eight-point linear algorithm,necessary and sufficient condition,pattern recognition,picture processing,rotation matrix,skew-symmetrical matrix,structure determination,translation components,two-view motion estimation | Nonnegative matrix,Matrix function,Single-entry matrix,Hollow matrix,Artificial intelligence,Combinatorics,Pattern recognition,Square matrix,Pure mathematics,Matrix of ones,Symmetric matrix,Mathematics,Block matrix | Journal |

Volume | Issue | ISSN |

11 | 12 | 0162-8828 |

Citations | PageRank | References |

85 | 40.88 | 3 |

Authors | ||

2 |

Authors (2 rows)

Cited by (85 rows)

References (3 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Thomas S. Huang | 1 | 85 | 40.88 |

Olivier D. Faugeras | 2 | 9364 | 2568.69 |