Research on reef bathymetry using remote sensing based on polynomial regression model
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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。
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关键词:
- 岛礁 /
- 水深反演 /
- 改进Lyzenga's模型 /
- 多项式回归
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.-
Key words:
- reef /
- bathymetry /
- modify Lyzenga's method /
- polynomial regression
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