3D object recognition based on linear lie algebra model

Fang Xing Li; Ping Dong Wu; Hua Fei Sun; Lin Yu Peng

3D object recognition based on linear lie algebra model

Fang Xing Li^*
, Ping Dong Wu
, Hua Fei Sun
, Lin Yu Peng

^*Corresponding author for this work

School of Mechatronical Engineering

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

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
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 - Mar 2009

Keywords

Linear Lie algebra
Recognition
Representation matrix

Cite this

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title = "3D object recognition based on linear lie algebra model",

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.",

keywords = "Linear Lie algebra, Recognition, Representation matrix",

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AU - Li, Fang Xing

AU - Wu, Ping Dong

AU - Sun, Hua Fei

AU - Peng, Lin Yu

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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

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M3 - Article

AN - SCOPUS:64049092140

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

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

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ER -

3D object recognition based on linear lie algebra model

Abstract

Keywords

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