Integral Invariants for Curves in 2D with Respect to Projective Groups

被引：0
|
作者：
Azhir, Nasereh [1 ]
Ali, Jamaludin Md [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
来源：
PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY | 2014年 / 1605卷
关键词：
Integral invariants; moving frame; group action;
D O I：
10.1063/1.4887643
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work presents invariants for planar curves with respect to the projective groups. Novel integral potentials for 2D curves are used to derive these invariants under the action of projective group with six degrees of freedom, based on Cartan's theory of moving frame. Examples are given to support the work.
引用
收藏
页码：524 / 528
页数：5
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