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基于多项式回归模型的岛礁遥感浅海水深反演
引用本文:王燕红,陈义兰,周兴华,杨磊,付延光.基于多项式回归模型的岛礁遥感浅海水深反演[J].海洋学报,2018,40(3):121-128.
作者姓名:王燕红  陈义兰  周兴华  杨磊  付延光
作者单位:1.国家海洋局第一海洋研究所, 山东 青岛 266061
基金项目:海洋卫星业务应用与无线电管理。
摘    要:Lyzenga's模型由于简单有效得到广泛应用,但是模型易欠拟合导致精度不高。本文提出了一种基于Lyzenga's模型的改进模型,通过增加多项式次数的方法,扩大模型特征维度,使得反演模型正确拟合,从而提高反演精度。基于WorldView-2遥感影像和0~30 m实测水深数据反演岛礁周围浅水水深,使用10折交叉验证和模型残差分析两种方法验证了改进模型的有效性和鲁棒性。结果表明,改进模型精度更高,在多项式次数为3时,模型最优。最后,根据改进模型反演得到的水深建立岛礁水下地形模型,能够直观、丰富地表达岛礁礁盘的微地形信息。

关 键 词:岛礁    水深反演    改进Lyzenga's模型    多项式回归
收稿时间:2017/3/28 0:00:00

Research on reef bathymetry using remote sensing based on polynomial regression model
Wang Yanhong,Chen Yilan,Zhou Xinghu,Yang Lei and Fu Yanguang.Research on reef bathymetry using remote sensing based on polynomial regression model[J].Acta Oceanologica Sinica (in Chinese),2018,40(3):121-128.
Authors:Wang Yanhong  Chen Yilan  Zhou Xinghu  Yang Lei and Fu Yanguang
Institution:1.The First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China2.The First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China;Geometrics College, Shandong University of Science and Technology, Qingdao 266590, China3.Geometrics College, Shandong University of Science and Technology, Qingdao 266590, China
Abstract:The method proposed by Lyzenga et al., due to its simplicity and effectiveness, has been widely applied to shallow-water bathymetry. However, this method is easy to underfit which will lead to low precision. We propose a modified model to improve the precision which will fit more correctly by amplifying the characteristic dimension and adding the degree of polynomial. We use the proposed model with WorldView-2 multispectral images and the measured 0-30 m water depth data to estimate the shallow water depth around the reef, and the 10-fold cross validation and residual analysis to validate the model. The results indicate that our model can improve the precision and is optimal using the degree of polynomial 3. At last, the water depth estimated by our model is used to calculate the terrain model around the reef, which can express the topographic feature intuitively and abundantly.
Keywords:reef  bathymetry  modify Lyzenga''s method  polynomial regression
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