elastic curve meaning in English
弹性变形曲线
弹性曲线
Examples
- Starlike affine elastic curves on r
平面上的星形仿射弹性曲线 - The algorithm can be used to reconstruct of other similar fragments . 3 ) the paper introduced an elastic curve matching method where the notion of an alignment curve is used to represent a correspondence between two curves . the space of alignment curves is searched for one optimizing elastic energy
基本思想是曲线的对应关系可以用一条对准曲线来表示,然后在对准空间中搜索使得弹性形变能最优的对准曲线,这条曲线确定了两轮廓曲线之间点的对应关系。 - For the regular curves , we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates . for the star - like affine curves , we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2 , r ) , sl ( 3 , r ) and sl ( 4 , r ) . we solve the centroaffine p - elastica completely by quadratures
对于正则曲线的情形，我们发现了两个用于求解p -弹性曲线的结构方程的killing向量场并用积分将p -弹性曲线在一个柱面坐标系中表示出来，而对仿射星形曲线的情形，我们用积分方法解出了欧拉-拉格朗日方程，利用killing向量场及线性李代数s1 ( 2 ， r ) 、 s1 ( 3 ， r )和s1 ( 4 ， r )的分类将高阶结构方程降为一阶线性方程，因此我们用积分完全解出了中心仿射p -弹性曲线。