Geometric Invariants using Geometry Algebra

摘要：

In this paper, we interpret the fundamental geometric invariants in a new framework: geometric algebra (GA). The study of such geometric invariance is a field of active research. The homogeneous model (Grassmann model) is selected for different kinds of geometric invariants, including Euclidean invariants, Projective invariants etc. GA focuses on the subspacc of a vector space as elements of computation. Linear transformation can be extended to the subspace structure. The paper compares the meaning of invariants using the new model with that using the traditional one. This work shows that geometric algebra is a very elegant language for expressing geometric objects.

关键词： geometric(Clifford)algebra geometric invariants homogeneous model geometric transformations

作者: Ni Qing Wang Zhengzhi

作者单位: Institute of Automation,National University of Defense Technology,Changsha 410073, Hunan, PR China

会议类型: 国际会议

会议名称: 2011 IEEE 2nd International Conference on Computing，Control and Industrial Engineering(CCIE 2011)(第二届计算、控制与工业工程国际会议)

会议地点: 武汉

会议语种:英文

页码: 171-174

在线出版日期: 2011-08-20（万方平台首次上网日期，不代表论文的发表时间）