### Abstract

The authors derive a closed-form solution for recovering the motion of an observer relative to a planar surface directly from image brightness derivatives. They do not compute the optical flow as an intermediate step, only the spatial and temporal intensity gradients at a minimum of 8 points. They solve a linear matrix equation for the elements of a 3 multiplied by 3 matrix. The eigenvalue decomposition of its symmetric part is then used to compute the motion parameters and the plane orientation.

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

Title of host publication | Unknown Host Publication Title |

Place of Publication | New York, NY, USA |

Publisher | IEEE |

Pages | 1157-1163 |

Number of pages | 7 |

ISBN (Print) | 0818606959 |

State | Published - Jan 1 1986 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*(pp. 1157-1163). New York, NY, USA: IEEE.

**DIRECT PASSIVE NAVIGATION : ANALYTICAL SOLUTION FOR PLANES.** / Negahdaripour, Shahriar; Horn, B. K P.

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

*Unknown Host Publication Title.*IEEE, New York, NY, USA, pp. 1157-1163.

}

TY - GEN

T1 - DIRECT PASSIVE NAVIGATION

T2 - ANALYTICAL SOLUTION FOR PLANES.

AU - Negahdaripour, Shahriar

AU - Horn, B. K P

PY - 1986/1/1

Y1 - 1986/1/1

N2 - The authors derive a closed-form solution for recovering the motion of an observer relative to a planar surface directly from image brightness derivatives. They do not compute the optical flow as an intermediate step, only the spatial and temporal intensity gradients at a minimum of 8 points. They solve a linear matrix equation for the elements of a 3 multiplied by 3 matrix. The eigenvalue decomposition of its symmetric part is then used to compute the motion parameters and the plane orientation.

AB - The authors derive a closed-form solution for recovering the motion of an observer relative to a planar surface directly from image brightness derivatives. They do not compute the optical flow as an intermediate step, only the spatial and temporal intensity gradients at a minimum of 8 points. They solve a linear matrix equation for the elements of a 3 multiplied by 3 matrix. The eigenvalue decomposition of its symmetric part is then used to compute the motion parameters and the plane orientation.

UR - http://www.scopus.com/inward/record.url?scp=0022562831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022562831&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0022562831

SN - 0818606959

SP - 1157

EP - 1163

BT - Unknown Host Publication Title

PB - IEEE

CY - New York, NY, USA

ER -