人民长江 ›› 2020, Vol. 51 ›› Issue (10): 205-209.doi: 10.16232/j.cnki.1001-4179.2020.10.037

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基于罗德里格矩阵的水域与陆域点云配准研究

石银涛, 董阿忠, 赵钢   

  • 出版日期:2020-10-28 发布日期:2020-10-28

Study on point cloud registration of water area and land area based on Rodrigue Matrix

SHI Yintao, DONG Azhong ,ZHAO Gang   

  • Online:2020-10-28 Published:2020-10-28

摘要: 水陆一体化的联合仿真在测绘、水利、国土资源监察等工作中发挥着越来越重要的作用。基于三维坐标转换的基本理论,探讨了罗德里格矩阵和间接平差模型在点云配准参数迭代解算中的应用。该方法以反对称矩阵元素构成旋转矩阵,基于多个同名点对,利用罗德里格矩阵的特性与间接平差模型,确定尺度因子、旋转矩阵与平移量的参数初值;借助获取的参数初值与线性化观测方程,构建同名点对的误差方程,并利用最小二乘法,解算最优的转换参数。以长江南京河段梅子洲左岸的水陆联合配准为例,对该方法进行了验证。实验结果表明:该方法避免了传统方法中的复杂三角函数运算,在保证精度的同时,提高了解算的效率,而且能够方便地计算出参数初始值。

关键词: 水域点云; 陆域点云; 罗德里格矩阵; 间接平差; 三维仿真; 长江南京河段;

Abstract: The joint simulation of land and water integration plays an increasingly important role in surveying and mapping, water conservancy and land resources supervision. Guided by the theory of 3 D coordinate transformation, this paper discusses the application of Rodrigue Matrix and indirect adjustment model in the iterative calculation of point cloud registration parameters. In this method, anti-symmetric matrix elements are utilized to form the rotation matrix. Based on multiple tie-points, the initial parameter values of the scale factor, rotation matrix and translation are determined by using the characteristic of Rodrigo's matrix and indirect adjustment model. By means of the obtained initial value of the parameters and the linearized observation equation, the error equations of the tie-points are constructed, and the least square is used to solve the optimal conversion parameter. Taking left bank of Meizizhou sandbar in Nanjing section of the Yangtze River as an example, the proposed method is verified. Experimental results show that this method avoids the complex trigonometric function operation of traditional methods, and improves the efficiency of calculation while ensuring the accuracy, and can easily calculate the initial value of parameters.

Key words: water area point cloud; land area point cloud; Rodrigue Matrix; indirect adjustment; 3D simulation; Nanjing reach of the Yangtze River;