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In the contribution, we will present an overview of the nonlinear diffusion filtering methods for the geodetic data on closed surfaces such as a sphere, ellipsoid and the Earth's surface. These methods allow adaptive fi ltering respecting main structures as edges, local extrema and other details important for a correct interpretation of geodetic data. Presented parabolic PDEs are numerically solved by the surface finite-volume method on the polyhedral closed surface created by planar triangles. In numerical experiments, we focus on a comparison of the results of filtering obtained by different diffusion methods. Experiments present nonlinear diffusion filtering of real geodetic measurements such a GOCE satellite data, satellite-only mean dynamic topography (MDT) and high-resolution altimetry-derived gravity data.
This is poster number 18 in Poster Session