基于限定区域的纬度做差法解算宽刈幅测高数据交叉点位置

doi:10.11947/j.AGCS.2026.20250341

测绘学报 ›› 2026, Vol. 55 ›› Issue (4): 673-683.doi: 10.11947/j.AGCS.2026.20250341

• 海岸带与海洋测绘遥感 • 上一篇

基于限定区域的纬度做差法解算宽刈幅测高数据交叉点位置

祝程程¹^,²(), 李真³, 郭金运⁴, 周茂盛⁵(), 李婉秋¹

^1.山东建筑大学测绘地理信息学院，山东　济南　250101
^2.中国测绘科学研究院空间基准全国重点实验室，北京　100036
^3.浙江水利水电学院测绘科学与技术学院，浙江　杭州　310018
^4.山东科技大学测绘与空间信息学院，山东　青岛　266590
^5.齐鲁工业大学（山东省科学院）海洋仪器仪表研究所，山东　青岛　266100

收稿日期:2025-08-27 修回日期:2025-12-29 发布日期:2026-05-11
通讯作者: 周茂盛 E-mail:zhucheng963@126.com;maosheng@qlu.edu.cn
作者简介:祝程程（1990—），女，讲师，主要研究方向为卫星测高与海洋重力反演。　E-mail：zhucheng963@126.com
基金资助:
国家自然科学基金(42304001);山东省自然科学基金青年项目(ZR2023QD032; ZR2023QD018);齐鲁工业大学（山东省科学院）科教产融合试点工程重大创新类项目(2025ZDYS01);山东省自然科学基金面上项目(ZR2025MS584)

Improved latitude difference method for calculating crossover point position from wide-swath measurement data

Chengcheng ZHU¹^,²(), Zhen LI³, Jinyun GUO⁴, Maosheng ZHOU⁵(), Wanqiu LI¹

^1.School of Surveying and Geo-Informatics, Shandong Jianzhu University, Jinan 250101, China
^2.State Key Laboratory of Spatial Datum, Chinese Academy of Surveying and Mapping, Beijing 100036, China
^3.School of Geomatics, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China
^4.College of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao 266590, China
^5.Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266100

Received:2025-08-27 Revised:2025-12-29 Published:2026-05-11
Contact: Maosheng ZHOU E-mail:zhucheng963@126.com;maosheng@qlu.edu.cn
About author:ZHU Chengcheng (1990—), female, lecturer, majors in satellite altimetry and marine gravity recovery. E-mail: zhucheng963@126.com
Supported by:
The National Natural Science Foundation of China(42304001);Shandong Provincial Natural Science Foundation(ZR2023QD032; ZR2023QD018);Major Innovation Project of Science, Education and Industry Integration Pilot Project of Qilu University of Technology (Shandong Academy of Sciences)(2025ZDYS01);Shandong Provincial Natural Science Foundation(ZR2025MS584)

摘要/Abstract

摘要：

SWOT卫星获得的宽刈幅海面高数据对于研究全球水体分布和提高海洋重力场分辨率具有重要意义。与传统的测高数据相比，宽刈幅二维数据增加了交叉点计算时间消耗。因此在原有纬度做差法的基础上，提出了基于限定区域的纬度做差法，基于边缘平行轨道交点纬度与交叉区域大小的拟合关系，利用边缘平行轨道计算菱形交叉区域及定位，进而在该区域内计算交叉点位置。与其他方法进行比较，该方法可以精确地解算平行轨道和垂直轨道交叉点的位置，获得与传统纬度做差法相同的交叉点，但研究区域内所需时间仅为传统纬度做差法的20%。此外，分析了SWOT交叉点处的海面高不符值，3级海面高产品精度约为0.05 m，相对于2级产品提升了约90%，且2级海面高产品在刈幅边缘位置处的精度低于其他位置。本文方法可准确解算宽刈幅数据交叉点的位置，当研究范围大于10°×10°时，相对于传统纬度做差法有效提高了交叉点计算的效率，且随着范围的扩大效率提高越加明显。

关键词: 宽刈幅, SWOT, 平行轨道, 垂直轨道, 交叉点

Abstract:

The wide-swath sea surface height (SSH) data obtained by the SWOT satellite are of great significance for improving the resolution of the ocean gravity field. Compared with traditional altimeter data, wide-swath two-dimensional data increases the time consumption for calculating crossover points. Therefore, the improved latitude difference method for calculating crossover points is proposed. The size and position of the crossover area are determined based on different latitudes, and then crossover point position within this area are calculated. Compared with other methods, the proposed approach identifies crossover points accurately while requiring only 20% of the time needed by the latitude difference method. In addition, the accuracy of SWOT SSHs was analyzed by using the SSH discrepancies at crossover points. Compared with Level 2 products, Level 3 SSH products show an accuracy improvement of more than 90%. The accuracy of Level 2 SSH products is lower at the edge of the crossover area than elsewhere, whereas Level 3 products exhibit no obvious spatial distribution pattern within the crossover area. Overall, the improved latitude difference method effectively improves the calculation efficiency of the crossover point.

Key words: wide-swath, SWOT, along-track, cross-track, crossover points

中图分类号:

P228

祝程程, 李真, 郭金运, 周茂盛, 李婉秋. 基于限定区域的纬度做差法解算宽刈幅测高数据交叉点位置[J]. 测绘学报, 2026, 55(4): 673-683.

Chengcheng ZHU, Zhen LI, Jinyun GUO, Maosheng ZHOU, Wanqiu LI. Improved latitude difference method for calculating crossover point position from wide-swath measurement data[J]. Acta Geodaetica et Cartographica Sinica, 2026, 55(4): 673-683.

图/表 10

图1

图2

图3

图4

图5

图6

表1

图7

图8

图9

参考文献 33

[1]	CHEN J L, WILSON C R, TAPLEY B D, et al. Long-term and seasonal Caspian Sea level change from satellite gravity and altimeter measurements[J]. Journal of Geophysical Research: Solid Earth, 2017, 122(3): 2274-2290.
[2]	FENG Jianlong, CHEN Qiaojun, LI Delei, et al. The dominant modes of recent sea level variability from 1993 to 2020 in the China Seas[J]. Global and Planetary Change, 2024, 237: 104451.
[3]	ANDERSEN O B, ZHANG S J, SANDWELL D T, et al. The unique role of the Jason geodetic missions for high resolution gravity field and mean sea surface modelling[J]. Remote Sensing, 2021, 13(4): 646.
[4]	SCHAEFFER P, PUJOL M I, VEILLARD P, et al. The CNES CLS 2022 mean sea surface: short wavelength improvements from CryoSat-2 and SARAL/AltiKa high-sampled altimeter data[J]. Remote Sensing, 2023, 15(11): 2910.
[5]	SMITH W H F. Resolution of seamount geoid anomalies achieved by the SARAL/AltiKa and Envisat RA2 satellite radar altimeters[J]. Marine Geodesy, 2015, 38(sup1): 644-671.
[6]	SUN Heping, BAO Lifeng, CHEN Shi, et al. Research progress in surface and marine gravimetry[J]. Journal of Geodesy and Geoinformation Science, 2023, 6(3): 19-32.
[7]	ZHU Chengcheng, GUO Jinyun, YUAN Jiajia, et al. SDUST2021GRA: global marine gravity anomaly model recovered from Ka-band and Ku-band satellite altimeter data[J]. Earth System Science Data, 2022, 14(10): 4589-4606.
[8]	ZINGERLE P, PAIL R, GRUBER T, et al. The combined global gravity field model XGM2019e[J]. Journal of Geodesy, 2020, 94(7): 66.
[9]	李真, 郭金运, 孙中苗, 等. 基于ICESat-2多波束激光测高数据的全球海洋重力异常反演分析[J]. 测绘学报, 2024, 53(2): 252-262. DOI: . doi: 10.11947/j.AGCS.2024.20230207
	LI Zhen, GUO Jinyun, SUN Zhongmiao, et al. Global marine gravity anomalies recovered from multi-beam laser altimeter data of ICESat-2[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(2): 252-262. DOI: . doi: 10.11947/j.AGCS.2024.20230207
[10]	HWANG C, CHANG E T Y. Seafloor secrets revealed[J]. Science, 2014, 346(6205): 32-33.
[11]	TOZER B, SANDWELL D T, SMITH W H F, et al. Global bathymetry and topography at 15 arc sec: SRTM15+[J]. Earth and Space Science, 2019, 6(10): 1847-1864.
[12]	金涛勇, 李建成, 姜卫平, 等. 基于多源卫星测高数据的新一代全球平均海面高模型[J]. 测绘学报, 2011, 40(6): 723-729.
	JIN Taoyong, LI Jiancheng, JIANG Weiping, et al. The new generation of global mean sea surface height model based on multi-altimetric data[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(6): 723-729.
[13]	刘传勇, 暴景阳, 黄谟涛, 等. 验后平差方法在Geosat/GM卫星测高数据处理中的应用[J]. 海洋测绘, 2008, 28(1): 5-8.
	LIU Chuanyong, BAO Jingyang, HUANG Motao, et al. The application of posteriori compensation theory of error in altimeter data set from geosat/GM crossover adjustment[J]. Hydrographic Surveying and Charting, 2008, 28(1): 5-8.
[14]	DETTMERING D, BOSCH W. Global calibration of Jason-2 by multi-mission crossover analysis[J]. Marine Geodesy, 2010, 33: 150-161.
[15]	FU L, UBELMANN C. On the transition from profile altimeter to swath altimeter for observing global ocean surface topography. Journal of Atmospheric and Oceanic Technology, 2014, 31(2): 560-568.
[16]	陈晓东, 杨萌, 袁园, 等. 中国近海SWOT_02重力场模型精度与空间分辨率评估[J]. 测绘学报, 2025, 54(6): 1031-1041. DOI: . doi: 10.11947/j.AGCS.2025.20240487
	CHEN Xiaodong, YANG Meng, YUAN Yuan, et al. Evaluation of the accuracy and spatial resolution of SWOT_02marine gravity model inChina'soffshoreregions[J]. ActaGeodaeticaetCartographicaSinica, 2025, 54(6): 1031-1041. DOI: . doi: 10.11947/j.AGCS.2025.20240487
[17]	HWANG C, YU Daocheng. Transforming coastal mapping from space[J]. Science, 2024, 386(6727): 1222-1223.
[18]	押少帅, 刘新, 周瑞宸, 等. 基于科学阶段SWOT/KaRIn测高数据反演高精度的垂直重力异常梯度模型[J]. 测绘学报, 2025, 54(9): 1583-1595. DOI: . doi: 10.11947/j.AGCS.2025.20240520
	YA Shaoshuai, LIU Xin, ZHOU Ruichen, et al. High accuracy vertical gradient of gravity anomaly model determined from SWOT/KaRIn altimetry data during scientific phase[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(9): 1583-1595. DOI: . doi: 10.11947/j.AGCS.2025.20240520
[19]	李杨, 周江存, 祝程程, 等. 基于模拟数据评估SWOT卫星KaRIn数据的测量误差对反演海洋重力场的影响[J]. 地球物理学报, 2024, 67(11): 4053-4064.
	LI Yang, ZHOU Jiangcun, ZHU Chengcheng, et al. Assessing the impacts of measurement errors in SWOT satellite KaRIn data on the inversion of marine gravity based on simulated data[J]. Chinese Journal of Geophysics, 2024, 67(11): 4053-4064.
[20]	MORROW R, FU L L, ARDHUIN F, et al. Global observations of fine-scale ocean surface topography with the surface water and ocean topography (SWOT) mission[J]. Frontiers in Marine Science, 2019, 6: 232.
[21]	WANG Jinbo, FU L L, TORRES H S, et al. On the spatial scales to be resolved by the surface water and ocean topography ka-band radar interferometer[J]. Journal of Atmospheric and Oceanic Technology, 2019, 36(1): 87-99.
[22]	DIBARBOURE G, LABROUE S, ABLAIN M, et al. Empirical cross-calibration of coherent SWOT errors using external references and the altimetry constellation[J]. IEEE Transactions on Geoscience and Remote Sensing, 2012, 50(6): 2325-2344.
[23]	LI Xiao, ZHANG Shengkai, GENG Tong, et al. An improved algorithm for extracting crossovers of satellite ground tracks[J]. Computers & Geosciences, 2022, 166: 105179.
[24]	周晓光, 苗洪利, 王云海, 等. 卫星地面轨迹分段拟合确定交叉点的方法研究[J]. 测绘学报, 2012, 41(6): 811-815.
	ZHOU Xiaoguang, MIAO Hongli, WANG Yunhai, et al. Study on the determination of crossovers by piecewise fitting of satellite ground track[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(6): 811-815.
[25]	YUAN Jiajia, GUO Jinyun, NIU Yupeng, et al. Mean sea surface model over the sea of Japan determined from multi-satellite altimeter data and tide gauge records[J]. Remote Sensing, 2020, 12(24): 4168.
[26]	魏巧云. 交叉点位置确定方法研究及相关数据处理[D]. 开封: 河南大学, 2017.
	WEI Qiaoyun. Research on crossover points location determination method and related data processing[D]. Kaifeng: Henan University, 2017.
[27]	SIBUET J C, YEH Y C, LEE C S. Geodynamics of the South China Sea[J]. Tectonophysics, 2016, 692: 98-119.
[28]	ZHU Chengcheng, GUO Jinyun, YA Shaoshuai, et al. Moving geoid gradient method for high-precision and high-resolution gravity recovery from SWOT wide-swath data[J]. IEEE Transactions on Geoscience and Remote Sensing, 2025, 63: 4205613.
[29]	SWOT project. SWOT Level-2 KaRIn Low Rate SSH Expert (v2.0)[DB/OL]. CNES(2023) [2025-06-27]. https://doi.org/10.24400/527896/a01-2023.015.
[30]	AVISO/DUACS. SWOT Level-3 KaRIn Low Rate SSH Expert (v2.0.1)[DB/OL]. CNES(2024) [2025-06-27]. https://doi.org/10.24400/527896/a01-2023.018.
[31]	李真. 融合不同观测模式卫星测高数据的全球海洋垂线偏差和重力异常模型的构建[D]. 青岛: 山东科技大学, 2025.
	LI Zhen. Global marine deflections of the vertical and gravity anomaly modeled by fusing altimeter data with multiple operating modes[D]. Qingdao: Shandong University of Science and Technology, 2025.
[32]	TRÉBOUTTE A, CARLI E, BALLAROTTA M, et al. KaRIn noise reduction using a convolutional neural network for the SWOT ocean products[J]. Remote Sensing, 2023, 15: 2183.
[33]	YU Daocheng, HWANG C. Optimized processing of SWOT fast-sampling data for marine gravity recovery: lessons for the 21-day science phase[J]. Remote Sensing of Environment, 2025, 328: 114903.

交叉点类型	方法	交叉点个数	时间/s	参与计算点数
平行轨道交叉点	纬度做差法	632 260	12 988	2 885 293 196
	基于限定区域的纬度做差法	632 260	2051	671 824 167
	格网法	1 640 474	1332	—
垂直轨道交叉点	纬度做差法	613 596	5096	106 962 011
	基于限定区域的纬度做差法	613 596	1060	99 019 219
	格网法	1 640 474	1332	—

基于限定区域的纬度做差法解算宽刈幅测高数据交叉点位置

Improved latitude difference method for calculating crossover point position from wide-swath measurement data

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

图/表 10

参考文献 33

相关文章 9

编辑推荐

Metrics

本文评价

[1]	高屹, 刘新, 于道成, 押少帅, 边少锋, 孙和平, 郭金运. 综合垂直重力异常梯度和海底地形模型的海山自动探测方法[J]. 测绘学报, 2026, 55(4): 647-657.
[2]	押少帅, 刘新, 周瑞宸, 李真, 边少锋, 郭金运. 基于科学阶段SWOT/KaRIn测高数据反演高精度的垂直重力异常梯度模型[J]. 测绘学报, 2025, 54(9): 1583-1595.
[3]	陈晓东, 杨萌, 袁园, 冯伟, 黄金维, 钟敏. 中国近海SWOT_02重力场模型精度与空间分辨率评估[J]. 测绘学报, 2025, 54(6): 1031-1041.
[4]	翟振和, 孙中苗, 马健, 管斌, 黄河, 欧阳明达, 黄令勇, 黄志勇, 潘星辰, 袁仕耿, 刘胜利, 刘森. 中国编队海洋测绘卫星数据反演海域重力扰动矢量及性能分析[J]. 测绘学报, 2025, 54(4): 714-724.
[5]	韩潇然, 柯樱海, 于金媛, 赵孟杰, 张国庆. 基于SWOT卫星模拟数据的青藏高原湖泊水位与面积测量精度评估[J]. 测绘学报, 2024, 53(5): 823-834.
[6]	屈进红, 姜作喜, 周锡华, 罗锋, 李芳. 航空重力测网交叉点的非遍历逼近方法[J]. 测绘学报, 2022, 51(1): 71-79.
[7]	胡文敏邸凯昌岳宗玉刘召芹. 嫦娥一号激光高度计数据交叉点分析与平差处理[J]. , 2013, 42(2): 218-224.
[8]	周晓光,苗洪利,王云海,范陈清,崔廷伟,张杰. 卫星地面轨迹分段拟合确定交叉点的方法研究[J]. 测绘学报, 2012, 41(6): 811-815.
[9]	金涛勇,李建成,姜卫平,王正涛. 基于多源卫星测高数据的新一代全球平均海面高模型[J]. 测绘学报, 2011, 40(6): 723-729.