### Abstract

We consider the problem of determining motion (three-dimensional rotation and translation) of rigid objects from their images taken at two time instants. The locations of the perspective projection of each of n feature points onto the image plane from the surface of the rigid body are assumed to be known at those times. We state some results of previous work, and in the important n = 5 case show how all the solutions can be obtained nearly six times as quickly as before. In the cases n = 6 and n = 7, all the solutions can be obtained approximately fifteen and thirty times more quickly, respectively, than by the previous method.

Original language | English (US) |
---|---|

Pages (from-to) | 219-226 |

Number of pages | 8 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 1251 |

DOIs | |

State | Published - Aug 1 1990 |

Event | Curves and Surfaces in Computer Vision and Graphics 1990 - Santa Clara, United States Duration: Feb 11 1990 → Feb 16 1990 |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*,

*1251*, 219-226. https://doi.org/10.1117/12.19749

**Experience in using homotopy methods to solve motion estimation problems.** / Holt, Robert J.; Netravali, Arun N.; Huang, Thomas S.

Research output: Contribution to journal › Conference article

*Proceedings of SPIE - The International Society for Optical Engineering*, vol. 1251, pp. 219-226. https://doi.org/10.1117/12.19749

}

TY - JOUR

T1 - Experience in using homotopy methods to solve motion estimation problems

AU - Holt, Robert J.

AU - Netravali, Arun N.

AU - Huang, Thomas S.

PY - 1990/8/1

Y1 - 1990/8/1

N2 - We consider the problem of determining motion (three-dimensional rotation and translation) of rigid objects from their images taken at two time instants. The locations of the perspective projection of each of n feature points onto the image plane from the surface of the rigid body are assumed to be known at those times. We state some results of previous work, and in the important n = 5 case show how all the solutions can be obtained nearly six times as quickly as before. In the cases n = 6 and n = 7, all the solutions can be obtained approximately fifteen and thirty times more quickly, respectively, than by the previous method.

AB - We consider the problem of determining motion (three-dimensional rotation and translation) of rigid objects from their images taken at two time instants. The locations of the perspective projection of each of n feature points onto the image plane from the surface of the rigid body are assumed to be known at those times. We state some results of previous work, and in the important n = 5 case show how all the solutions can be obtained nearly six times as quickly as before. In the cases n = 6 and n = 7, all the solutions can be obtained approximately fifteen and thirty times more quickly, respectively, than by the previous method.

UR - http://www.scopus.com/inward/record.url?scp=0345146538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345146538&partnerID=8YFLogxK

U2 - 10.1117/12.19749

DO - 10.1117/12.19749

M3 - Conference article

AN - SCOPUS:0345146538

VL - 1251

SP - 219

EP - 226

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

ER -