Articles | Volume 19, issue 15
https://doi.org/10.5194/gmd-19-7349-2026
https://doi.org/10.5194/gmd-19-7349-2026
Development and technical paper
 | 
07 Aug 2026
Development and technical paper |  | 07 Aug 2026

A continuous implicit neural representation framework with gradient regularization for sea surface height reconstruction from satellite altimetry

Dongshuang Li, Liming Pan, Zhaoyuan Yu, and Linwang Yuan

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Cited articles

Ajayi, A., Le Sommer, J., Chassignet, E., Molines, J.-M., Xu, X., Albert, A., and Cosme, E.: Spatial and temporal variability of the North Atlantic eddy field from two kilometric-resolution ocean models, J. Geophys. Res.-Oceans, 125, e2019JC015827, https://doi.org/10.1029/2019JC015827, 2020. a
Beauchamp, M., Febvre, Q., Georgenthum, H., and Fablet, R.: 4DVarNet-SSH: end-to-end learning of variational interpolation schemes for nadir and wide-swath satellite altimetry, Geosci. Model Dev., 16, 2119–2147, https://doi.org/10.5194/gmd-16-2119-2023, 2023 a
Camargo, C. M. L., Riva, R. E. M., Hermans, T. H. J., Schütt, E. M., Marcos, M., Hernandez-Carrasco, I., and Slangen, A. B. A.: Regionalizing the sea-level budget with machine learning techniques, Ocean Sci., 19, 17–41, https://doi.org/10.5194/os-19-17-2023, 2023. a
Denvil-Sommer, A., Buitenhuis, E. T., Kiko, R., Lombard, F., Guidi, L., and Le Quéré, C.: Testing the reconstruction of modelled particulate organic carbon from surface ecosystem components using PlankTOM12 and machine learning, Geosci. Model Dev., 16, 2995–3012, https://doi.org/10.5194/gmd-16-2995-2023, 2023. a
Fablet, R., Beauchamp, M., Drumetz, L., and Rousseau, F.: Joint interpolation and representation learning for irregularly sampled satellite-derived geophysical fields, Frontiers in Applied Mathematics and Statistics, 7, 655224, https://doi.org/10.3389/fams.2021.655224, 2021. a
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Short summary
Satellites do not measure every part of the ocean at every moment, so maps of ocean surface height often have gaps. We developed a computer method that learns from scattered satellite measurements to fill in these gaps while keeping the reconstructed patterns smooth and physically plausible. Tests with real and simulated data show that the method improves regional ocean surface maps and better preserves important ocean features, supporting future monitoring of ocean change.
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