Volterra-fuzzy B-spline algorithm for 3D coastal bathymetry reconstruction

This paper presents a new approach for three-dimensional (3D) coastal bathymetry reconstruction using TOPSAR multi-polarized data without needing to include any sounding data values. In doing so, two three-dimensional surface models, the Volterra model and a fuzzy B-Spline model, which construct a global topological structure between the data points, were used to support an approximation to the real surface. The statistical differences between real bathymetry map, C_VV band and L_HH band showed that the best reconstruction of coastal bathymetry was obtained with polarised L with 10 m spatial resolution of TOPSAR data, bias of - 0.04 and the standard error mean of 0.05 m in depth determination was obtained with L_HH band.