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Article

Unified Land–Ocean Quasi-Geoid Computation from Heterogeneous Data Sets Based on Radial Basis Functions

College of Surveying and Geo-Informatics, Tongji University, 1239 Siping Road, Shanghai 200092, China
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Author to whom correspondence should be addressed.
Academic Editor: Xiaogong Hu
Remote Sens. 2022, 14(13), 3015; https://doi.org/10.3390/rs14133015
Received: 16 May 2022 / Revised: 17 June 2022 / Accepted: 21 June 2022 / Published: 23 June 2022
(This article belongs to the Special Issue Space-Geodetic Techniques)
The determination of the land geoid and the marine geoid involves different data sets and calculation strategies. It is a hot issue at present to construct the unified land–ocean quasi-geoid by fusing multi-source data in coastal areas, which is of great significance to the construction of land–ocean integration. Classical geoid integral algorithms such as the Stokes theory find it difficult to deal with heterogeneous gravity signals, so scholars have gradually begun using radial basis functions (RBFs) to fuse multi-source data. This article designs a multi-layer RBF network to construct the unified land–ocean quasi-geoid fusing measured terrestrial, shipborne, satellite altimetry and airborne gravity data based on the Remove–Compute–Restore (RCR) technique. EIGEN-6C4 of degree 2190 is used as a reference gravity field. Several core problems in the process of RBF modeling are studied in depth: (1) the behavior of RBFs in the spatial domain; (2) the locations of RBFs; (3) ill-conditioned problems of the design matrix; (4) the effect of terrain masses. The local quasi-geoid with a 1′ resolution is calculated, respectively, on the flat east coast and the rugged west coast of the United States. The results show that the accuracy of the quasi-geoid computed by fusing four types of gravity data in the east coast experimental area is 1.9 cm inland and 1.3 cm on coast after internal verification (the standard deviation of the quasi-geoid w.r.t GPS/leveling data). The accuracy of the quasi-geoid calculated in the west coast experimental area is 2.2 cm inland and 2.1 cm on coast. The results indicate that using RBFs to calculate the unified land–ocean quasi-geoid from heterogeneous data sets has important application value. View Full-Text
Keywords: fusion of heterogeneous data; unified land–ocean quasi-geoid; radial basis functions; Remove–Compute–Restore; EIGEN-6C4 fusion of heterogeneous data; unified land–ocean quasi-geoid; radial basis functions; Remove–Compute–Restore; EIGEN-6C4
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MDPI and ACS Style

Liu, Y.; Lou, L. Unified Land–Ocean Quasi-Geoid Computation from Heterogeneous Data Sets Based on Radial Basis Functions. Remote Sens. 2022, 14, 3015. https://doi.org/10.3390/rs14133015

AMA Style

Liu Y, Lou L. Unified Land–Ocean Quasi-Geoid Computation from Heterogeneous Data Sets Based on Radial Basis Functions. Remote Sensing. 2022; 14(13):3015. https://doi.org/10.3390/rs14133015

Chicago/Turabian Style

Liu, Yusheng, and Lizhi Lou. 2022. "Unified Land–Ocean Quasi-Geoid Computation from Heterogeneous Data Sets Based on Radial Basis Functions" Remote Sensing 14, no. 13: 3015. https://doi.org/10.3390/rs14133015

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