| 哈密顿李代数的纤维丛曲面模型及其高斯曲率 |
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| 引用本文： | 李方兴,吴平东,彭林玉,孙华飞. 哈密顿李代数的纤维丛曲面模型及其高斯曲率[J]. 科技导报(北京), 2008, 26(8): 37-39 |
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| 作者姓名： | 李方兴 吴平东 彭林玉 孙华飞 |
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| 作者单位： | 北京理工大学车辆与机械工程学院,北京,100081;北京理工大学理学院,北京,100081 |
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| 摘 要： | 介绍一种以线性李代数的单参数群为纤维的纤维丛曲面;引进一种新的以哈密顿李代数为纤维的曲面模型,该模型可以用于3D物体识别;得出此曲面模型的高斯曲率,并给出实例。
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| 关 键 词： | 哈密顿李代数 单参数群 高斯曲率 |
| 文章编号： | 1000-7857(2008)08-0037-03 |
| 修稿时间： | 2008-03-08 |
Surface Model Based on a Fibre Bundle of Hamiltonian Lie Algebra and Gaussian Curvature |
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| LI Fangxing,WU Pingdong,PENG Linyu,SUN Huafei. Surface Model Based on a Fibre Bundle of Hamiltonian Lie Algebra and Gaussian Curvature[J]. Science & Technology Review, 2008, 26(8): 37-39 |
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| Authors: | LI Fangxing WU Pingdong PENG Linyu SUN Huafei |
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| Abstract: | Based on a fibre-bundle surface model using one-parameter groups of a linear Lie algebra as fibres is introduced, a new extended model is proposed using a fibre-bundle of one-parameter groups of a Hamiltonian Lie algebra, which can be used for identification of 3D objects. The Gaussian curvatures of the surface models are obtained and some examples are given to verify the model. |
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| Keywords: | Hamiltonian Lie algebra one-parameter group Gaussian curvature |
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