Sensor Placement with Two-Dimensional Equal Arc Length Non-Uniform Sampling for Underwater Terrain Deformation Monitoring
Abstract
:1. Introduction
1.1. Monitoring Methods for Underwater Terrain Deformation
1.2. Sensor Placement Schemes for Underwater Terrain Deformation
2. Two-Dimensional Non-Uniform Sampling Condition with Equal Arc Length
2.1. Mathematical Model of Two-Dimensional Uniform Sampling
2.2. Two-Dimensional Non-Uniform Sampling Condition with Equal Arc Length
3. Terrain Deformation Simulation Experiment
3.1. Experiment Design
3.2. Experimental Results
4. A Water Tank Experiment
4.1. Experiment Design
4.2. Experimental Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Shape #1-1 | Shape #1-2 | Shape #1-3 | |
---|---|---|---|
Highest frequency (u, v) (m−1) | (0.94, 1.10) | (1.41, 1.10) | (0.94, 1.10) |
Shape #1-1 | Shape #1-2 | Shape #1-3 | |
---|---|---|---|
Mean absolute error (cm) | 1.12 | 0.97 | 1.09 |
MRE (%) | 6.47 | 6.87 | 5.09 |
RRMSE (%) | 6.01 | 5.53 | 4.43 |
Shape #2-1 | Shape #2-2 | Shape #2-3 | |
---|---|---|---|
Highest frequency (u, v) (m−1) | (1.25, 2.5) | (2.5, 2.5) | (1.25, 2.5) |
Shape #2-1 | Shape #2-2 | Shape #2-3 | Shape #2-4 | Shape #2-5 | |
---|---|---|---|---|---|
MRE (%) | 3.29 | 5.62 | 3.36 | 5.71 | 3.48 |
RRMSE (%) | 3.52 | 5.89 | 3.45 | 6.73 | 3.02 |
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Xu, C.; Hu, J.; Chen, J.; Ge, Y.; Liang, R. Sensor Placement with Two-Dimensional Equal Arc Length Non-Uniform Sampling for Underwater Terrain Deformation Monitoring. J. Mar. Sci. Eng. 2021, 9, 954. https://doi.org/10.3390/jmse9090954
Xu C, Hu J, Chen J, Ge Y, Liang R. Sensor Placement with Two-Dimensional Equal Arc Length Non-Uniform Sampling for Underwater Terrain Deformation Monitoring. Journal of Marine Science and Engineering. 2021; 9(9):954. https://doi.org/10.3390/jmse9090954
Chicago/Turabian StyleXu, Chunying, Junwei Hu, Jiawang Chen, Yongqiang Ge, and Ruixin Liang. 2021. "Sensor Placement with Two-Dimensional Equal Arc Length Non-Uniform Sampling for Underwater Terrain Deformation Monitoring" Journal of Marine Science and Engineering 9, no. 9: 954. https://doi.org/10.3390/jmse9090954