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14 December 2020 Determine the Stumpf 2003 Model Parameters for Multispectral Remote Sensing Shallow Water Bathymetry
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Zhu, J.S.; Hu, P.; Zhao, L.L.; Gao, L.; Qi, J.W.; Zhang, Y., and Wang, R.F., 2020. Determine the Stumpf 2003 model parameters for multispectral remote sensing shallow water bathymetry. In: Jung, H.-S.; Lee, S.; Ryu, J.-H., and Cui, T. (eds.), Advances in Geospatial Research of Coastal Environments. Journal of Coastal Research, Special Issue No. 102, pp. 54-62. Coconut Creek (Florida), ISSN 0749-0208.

The Stumpf 2003 model is a widely used model for shallow water bathymetry estimation for multi-spectral remote sensing. There are three parameters should be determined in this model. One is the parameter n in the term of a logarithmic ratio, and the other two parameters are m0 and m1, which are determined by a linear regression. In many researches the n is assigned as a constant directly. There is no more discussion on how to determine these parameters, especially for the value of n. In this paper, it suggest a two-step-method when using the Stumpf 2003 model for bathymetry estimation. The first step determines the value of the parameter n according to the linearity between the term of a logarithmic ratio and water depth. The second step is to obtain the other two parameters m0 and m1 by a conventional linear regression. The method is tested and verified using a WorldView-2 (WV2) multi-spectral image and the corresponding in-situ water bathymetry by a sonar. 512 samples are extracted randomly as a train dataset, these data are used to train the Stumpf 2003 model; the remain 129 samples are collected as a validation dataset. The results show that using the two-step-method can improve the accuracy of bathymetry estimation. According to the train dataset, the RMSE is 3.829 using the model parameters (n=54.766) determined by this method, while the RMSE is 4.005 using the model parameters (n=1000) determined in the conventional way. Similar RMSE results also obtained for the validation dataset, they are 1.753 (n =54.766) and 1.816 (n=1000) respectively. It also shows an improvement. So this paper suggest to use the two-step-method to determine the model parameters for bathymetry estimation when using Stumpf 2003 model.

©Coastal Education and Research Foundation, Inc. 2020
Jinshan Zhu, Peng Hu, Lulu Zhao, Lei Gao, Jiawei Qi, Ya Zhang, and Ruifu Wang "Determine the Stumpf 2003 Model Parameters for Multispectral Remote Sensing Shallow Water Bathymetry," Journal of Coastal Research 102(sp1), 54-62, (14 December 2020).
Received: 2 June 2020; Accepted: 24 August 2020; Published: 14 December 2020

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