# 3D object recognition based on linear lie algebra model

Fang Xing Li, Ping Dong Wu, Hua Fei Sun, Linyu Peng

Research output: Contribution to journalArticle

1 Citation (Scopus)

### 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 46-50 5 Journal of Beijing Institute of Technology (English Edition) 18 1 Published - 2009 Mar Yes

### Fingerprint

Object recognition
Algebra
Fibers

### Keywords

• Linear Lie algebra
• Recognition
• Representation matrix

### ASJC Scopus subject areas

• Engineering(all)

### Cite this

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

In: Journal of Beijing Institute of Technology (English Edition), Vol. 18, No. 1, 03.2009, p. 46-50.

Research output: Contribution to journalArticle

Li, Fang Xing ; Wu, Ping Dong ; Sun, Hua Fei ; Peng, Linyu. / 3D object recognition based on linear lie algebra model. In: Journal of Beijing Institute of Technology (English Edition). 2009 ; Vol. 18, No. 1. pp. 46-50.
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