船舶航迹多变量间的流形依赖关系研究

The study of the manifold dependence of ship's track multivariable

船舶航迹多变量是反应船舶有效航行路线的数据之一,常规航迹多变量间的关系主要体现形式以二维平面为主,无法通过数据形式进行关系衡量,为此提出船舶航迹多变量间的流形依赖关系研究。构建线性流形关系模型,利用几何概念,将数据形式的航迹多变量进行实体化,推导出理论关系,使用变量条件约束,实现模型构建;通过模型计算得到船舶航迹角多变量间流形依赖关系,利用模型理论推导,分析出船舶迹多变量间流形依赖关系。实验数据表明,提出的流形依赖关系真实有效。

Ship track is multivariate is one of the data of reaction vessel navigation route effectively, the relationship between conventional track is multivariate main body form is given priority to with two-dimensional plane, cannot measure,through the form of data relationship for this ship track manifold dependencies between multivariate research. In this paper, a linear manifolds model is constructed, and the geometrical concept is used to substantiate the trace multivariate variables of the data form, and deduce the theoretical relation, and then use the conditional constraint to realize the model construction.Based on the model, the flow form dependence of the ship's track Angle multivariable is calculated, and the flow form dependence of the ship's trace multivariable is analyzed by using the model theory. The experimental data show that the manifold dependence of this paper is real and effective.