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Article

Oceanic Mesoscale Eddy Fitting Using Legendre Polynomial Surface Fitting Model Based on Along-Track Sea Level Anomaly Data

1
Frontier Science Center for Deep Ocean Multispheres and Earth System (FDOMES) and Physical Oceanography Laboratory, Ocean University of China, Qingdao 266100, China
2
Laboratory for Regional Oceanography and Numerical Modeling, Pilot National Laboratory for Marine Science and Technology, Qingdao 266590, China
3
Key Laboratory of Marine Environment and Ecology, College of Environmental Science and Engineering, Ocean University of China, Qingdao 266071, China
*
Author to whom correspondence should be addressed.
Remote Sens. 2024, 16(15), 2799; https://doi.org/10.3390/rs16152799 (registering DOI)
Submission received: 23 May 2024 / Revised: 23 July 2024 / Accepted: 26 July 2024 / Published: 30 July 2024

Abstract

Exploring the spatial distribution of sea surface height involves two primary methodologies: utilizing gridded reanalysis data post-secondary processing or conducting direct fitting along-track data. While processing gridded reanalysis data may entail information loss, existing direct fitting methods have limitations. Therefore, there is a pressing need for novel direct fitting approaches to enhance efficiency and accuracy in sea surface height fitting. This study demonstrates the viability of Legendre polynomial surface fitting, benchmarked against bicubic quasi-uniform B-spline surface fitting, which has been proven to be a well-established direct fitting method. Despite slightly superior accuracy exhibited by bicubic quasi-uniform B-spline surface fitting under identical order combinations, Legendre polynomial surface fitting offers a simpler structure and enhanced controllability. However, it is pertinent to note that significant expansion of the spatial scope of fitting often results in decreased fitting efficacy. To address this, the current research achieves the precise fitting of sea surface height across expansive spatial ranges through a regional stitching methodology.
Keywords: mesoscale eddy; Legendre polynomial surface fitting; B-spline surface fitting; along-track data; altimeter mesoscale eddy; Legendre polynomial surface fitting; B-spline surface fitting; along-track data; altimeter

Share and Cite

MDPI and ACS Style

Kong, C.; Zhang, Y.; Shi, J.; Lv, X. Oceanic Mesoscale Eddy Fitting Using Legendre Polynomial Surface Fitting Model Based on Along-Track Sea Level Anomaly Data. Remote Sens. 2024, 16, 2799. https://doi.org/10.3390/rs16152799

AMA Style

Kong C, Zhang Y, Shi J, Lv X. Oceanic Mesoscale Eddy Fitting Using Legendre Polynomial Surface Fitting Model Based on Along-Track Sea Level Anomaly Data. Remote Sensing. 2024; 16(15):2799. https://doi.org/10.3390/rs16152799

Chicago/Turabian Style

Kong, Chunzheng, Yibo Zhang, Jie Shi, and Xianqing Lv. 2024. "Oceanic Mesoscale Eddy Fitting Using Legendre Polynomial Surface Fitting Model Based on Along-Track Sea Level Anomaly Data" Remote Sensing 16, no. 15: 2799. https://doi.org/10.3390/rs16152799

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