哈密顿李代数的纤维丛曲面模型及其高斯曲率  

Surface Model Based on a Fibre Bundle of Hamiltonian Lie Algebra and Gaussian Curvature

作　　者：李方兴[1] 吴平东[1] 彭林玉[2] 孙华飞[2] 

机构地区：[1]北京理工大学车辆与机械工程学院,北京100081 [2]北京理工大学理学院,北京100081

出　　处：《科技导报》2008年第8期37-39,共3页Science & Technology Review

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。Based on a fibre-bundle surface model using oneparameter 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.

关 键 词：哈密顿李代数 单参数群 高斯曲率 

分 类 号：O186.12[理学—数学] O189.33[理学—基础数学]