3D Object Recognition Based on Linear Lie Algebra Model |
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Authors: | LI Fang-xing WU Ping-dong SUN Hua-fei PENG Lin-yu |
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Affiliation: | 1. School of Mechanical and Vehicular Engineering,Beijing Institute of Technology,Beijing 100081,China 2. School of Science,Beijing Institute of Technology,Beijing 100081,China |
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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. |
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Keywords: | linear Lie algebra recognition representation matrix |
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