### Abstract

A surface model called the fibre bundle model and a 3D object model based on linear Lie algebra model are proposed. Then an algorithm of 3D object recognition using the linear Lie algebra models is presented. It is a convenient recognition method for the objects which are symmetric about some axis. By using the presented algorithm, the representation matrices of the fibre or the base curve from only finite points of the linear Lie algebra model can be obtained. At last some recognition results of practicalities are given.

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

Pages (from-to) | 46-50 |

Number of pages | 5 |

Journal | Journal of Beijing Institute of Technology (English Edition) |

Volume | 18 |

Issue number | 1 |

Publication status | Published - 2009 Mar |

Externally published | Yes |

### Fingerprint

### Keywords

- Linear Lie algebra
- Recognition
- Representation matrix

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Journal of Beijing Institute of Technology (English Edition)*,

*18*(1), 46-50.

**3D object recognition based on linear lie algebra model.** / Li, Fang Xing; Wu, Ping Dong; Sun, Hua Fei; Peng, Linyu.

Research output: Contribution to journal › Article

*Journal of Beijing Institute of Technology (English Edition)*, vol. 18, no. 1, pp. 46-50.

}

TY - JOUR

T1 - 3D object recognition based on linear lie algebra model

AU - Li, Fang Xing

AU - Wu, Ping Dong

AU - Sun, Hua Fei

AU - Peng, Linyu

PY - 2009/3

Y1 - 2009/3

N2 - A surface model called the fibre bundle model and a 3D object model based on linear Lie algebra model are proposed. Then an algorithm of 3D object recognition using the linear Lie algebra models is presented. It is a convenient recognition method for the objects which are symmetric about some axis. By using the presented algorithm, the representation matrices of the fibre or the base curve from only finite points of the linear Lie algebra model can be obtained. At last some recognition results of practicalities are given.

AB - A surface model called the fibre bundle model and a 3D object model based on linear Lie algebra model are proposed. Then an algorithm of 3D object recognition using the linear Lie algebra models is presented. It is a convenient recognition method for the objects which are symmetric about some axis. By using the presented algorithm, the representation matrices of the fibre or the base curve from only finite points of the linear Lie algebra model can be obtained. At last some recognition results of practicalities are given.

KW - Linear Lie algebra

KW - Recognition

KW - Representation matrix

UR - http://www.scopus.com/inward/record.url?scp=64049092140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=64049092140&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 46

EP - 50

JO - Journal of Beijing Institute of Technology (English Edition)

JF - Journal of Beijing Institute of Technology (English Edition)

SN - 1004-0579

IS - 1

ER -