### 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 1 |

Externally published | Yes |

### Keywords

- Linear Lie algebra
- Recognition
- Representation matrix

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of '3D object recognition based on linear lie algebra model'. Together they form a unique fingerprint.

## Cite this

Li, F. X., Wu, P. D., Sun, H. F., & Peng, L. Y. (2009). 3D object recognition based on linear lie algebra model.

*Journal of Beijing Institute of Technology (English Edition)*,*18*(1), 46-50.