张永厚, 肖付民, 金绍华, 边刚, 汤寓麟. 一种基于LM算法的多波束横摇残差改正方法[J]. 武汉大学学报 ( 信息科学版), 2022, 47(7): 1140-1145. DOI: 10.13203/j.whugis20200103
引用本文: 张永厚, 肖付民, 金绍华, 边刚, 汤寓麟. 一种基于LM算法的多波束横摇残差改正方法[J]. 武汉大学学报 ( 信息科学版), 2022, 47(7): 1140-1145. DOI: 10.13203/j.whugis20200103
ZHANG Yonghou, XIAO Fumin, JIN Shaohua, BIAN Gang, TANG Yulin. A Correction Method for Multi-beam Roll Residual Based on LM Algorithm[J]. Geomatics and Information Science of Wuhan University, 2022, 47(7): 1140-1145. DOI: 10.13203/j.whugis20200103
Citation: ZHANG Yonghou, XIAO Fumin, JIN Shaohua, BIAN Gang, TANG Yulin. A Correction Method for Multi-beam Roll Residual Based on LM Algorithm[J]. Geomatics and Information Science of Wuhan University, 2022, 47(7): 1140-1145. DOI: 10.13203/j.whugis20200103

一种基于LM算法的多波束横摇残差改正方法

A Correction Method for Multi-beam Roll Residual Based on LM Algorithm

  • 摘要: 针对多波束测深系统由于存在运动残差而产生横摇误差,从而导致数据条带边缘呈现“波浪”状周期性起伏的问题,提出了一种基于列文伯格-马夸尔特(Levenberg-Marquardt,LM)算法的多波束横摇残差改正方法。该方法首先建立水深与横摇残差之间的函数关系式,然后采用非线性最小二乘LM算法并结合剖面趋势线构建思想进行横摇残差提取,最终实现对海底地形的改正。实例计算结果表明,改正后地形过渡更加平滑,趋近真实海底;左、右舷剖面水深标准差降低约50%,而剖面水深均值则几乎不变;对两组横摇序列进行相似性计算,初步判断横摇残差包含延时与杆晃影响。所提方法能够较准确地提取系统横摇残差,改正后海底地形起伏相对标准差明显降低,有效地削弱了运动残差对多波束测深数据的影响。

     

    Abstract:
      Objectives  To solve the problem of periodic undulations like "wave" at the edge of data strip caused by roll residual due to motion residual of multi-beam echo sounder, a correction method for multi-beam roll residual is proposed on the basis of LM(Levenberg-Marquardt) algorithm.
      Methods  By establishing the functional relation between the depth of water and the roll residual, this method uses the nonlinear least square LM algorithm and combines the idea of profile trend line construction to extract the roll residual, and realizes the correction of the submarine topography. This method fully takes into account the basic trend of the seabed and the influence of rolling residual on the water depth, which has high theoretical feasibility.
      Results  The results show that the transition of submarine topography was much smoother after correction, and closer to the real seabed; the STD(standard deviation) of port and starboard depth profiles decreased by more than 50%, while the mean of the depth profiles almost unchanged; the similarity of the two groups of roll was calculated and the roll residual was preliminarily judged to include delay of roll and shaking of the pole.
      Conclusions  This method can extract the systemic roll residual accurately, and the STD of submarine topographic undulations is significantly reduced after the correction, and the effect of motion residual on multi-beam data is effectively weakened.

     

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