### Abstract

We present a new direct method of estimating the three-dimensional motion parameters of a rigid planar patch from two time-sequential perspective views (image frames). First, a set of eight pure parameters are defined. These parameters can be determined uniquely from the two given image frames by solving a set of linear equations. Then, the actual motion parameters are determined from these pure parameters by a method which requires the solution of a sixth-order polynomial of one variable only, and there exists a certain efficient algorithm for solving a sixth-order polynomial. Aside from a scale factor for the translation parameters, the number of real solutions never exceeds two. In the special case of three-dimensional translation, the motion parameters can be expressed directly as some simple functions of the eight pure parameters Thus, only a few arithmetic operations are needed.

Original language | English (US) |
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Pages (from-to) | 1147-1152 |

Number of pages | 6 |

Journal | IEEE Transactions on Acoustics, Speech, and Signal Processing |

Volume | 29 |

Issue number | 6 |

DOIs | |

State | Published - Dec 1981 |

### ASJC Scopus subject areas

- Signal Processing

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## Cite this

*IEEE Transactions on Acoustics, Speech, and Signal Processing*,

*29*(6), 1147-1152. https://doi.org/10.1109/TASSP.1981.1163710