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Fuzzy Algorithm for 3d Bathymetry Simulation from Topsar Polarised Data
Results and Discussions
Figure 1 shows the regions of interest that used to simulate the bathymetry information from L-Band with HH polarization. The bathymetry information have extracted from of the 4 sub-images, each sub-image was 512 by 512 pixel. Figure 2 shows the signature of underwater topography. Underwater topography is obvious as a frontal lines parallel the shoreline.

Figure 1. Selected Window Size

Figure 2. Signature of Bathymetry
Figure 3. Shows the current spectra density, which varied along the distance. The current intensities varied along the range direction. The maximum current speed is 1.3 m/s. This is because of the fact that Volterra series expansion considers as linear transform. This result confirms the finding of Maged (1994).

Figure 3. Simulation of current flow from TOPSAR data
Figure 4 shows the 3 D bathymetry simulations over different locations. It is obvious that the coastal water bathymetry along the locations A, B, C, D have a gentle slopes and moving parallel to the shoreline. The bathymetry at location E shows a sharp slope. This could be due to strong current flow from the mouth river of Kuala Terengganu. This study confirms the study of Maged et al., (2002).

Figure 4. 3-D Bathymetry Fuzzy Reconstruction at (a) Locations A , B,C, and D and (b) E
Conclusion
This study has introduced a new approach in 3-D reconstruction of coastal waters bathymetry. The integration between Volterra model and the Fuzzy B-Splines method can provide a 3-D construction for coastal waters bathymetry. This approach can provide characteristics of coastal waters bathymetry. In 3-D reconstruction of coastal bathymetry will be easy to detect the gentle and sharp slope. Utilization of composite TOPSAR L-band polarized data (HH) assists in 3 D bathymetry reconstructions.
References
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- Maged M., H. L. Mohd., and K., Yunus (2002) TOPSAR Model for bathymetry Pattern Detection along coastal waters of Kuala Terengganu, Malaysia. Journal of Physical Sciences. Vol (14)(3), 487-490.
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