Height conversion method and result analysis based on polynomial surface fitting model

doi:10.13474/j.cnki.11-2246.2022.0304

Bulletin of Surveying and Mapping ›› 2022, Vol. 0 ›› Issue (10): 114-117,157.doi: 10.13474/j.cnki.11-2246.2022.0304

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Height conversion method and result analysis based on polynomial surface fitting model

CHEN Anping¹, LI Hongwei², XIE Gangsheng², YAO Chaolong², XIE Huirong²

1. Geology Surveying and Mapping Institute of Guangdong, Guangzhou 510800, China;
2. South China Agricultural University, Guangzhou 510640, China

Received:2022-03-03 Revised:2022-08-26 Published:2022-11-02

Abstract

Abstract: Considering the impacts of selection of fitting models and fitting points on the precision of height conversion based on polynomial surface fitting, this study proposed GNSS height fitting methods by integrating different polynomial curved surface models based on the analysis of their features and the information about fitting residuals of fist order polynomial. The effectiveness of the proposed model was evaluated by a case study. The results show that the spatial distribution of fitting residuals of fist order polynomial, which reflects the feature of regional height anomalies, can provide a basis for dividing sub-regions for quadratic polynomial fitting or the selection of fitting points for cubic polynomial, and the fitting precision can be increased from centimeter level to millimeter level.

Key words: height conversion, height anomaly, polynomial fitting, fitting residual, fitting precision

CLC Number:

CHEN Anping, LI Hongwei, XIE Gangsheng, YAO Chaolong, XIE Huirong. Height conversion method and result analysis based on polynomial surface fitting model[J]. Bulletin of Surveying and Mapping, 2022, 0(10): 114-117,157.

References

[1] 高原,张恒璟,赵春江.多项式曲面模型在GPS高程拟合中的应用[J].测绘科学, 2011, 36(3):179-181.
[2] 容金宏,杨力,石风淼,等.多项式拟合在西北地区GNSS高程转换中的应用研究[J].测绘与空间地理信息, 2016, 39(11):222-224.
[3] 胡贝.分区拟合法构建区域似大地水准面[J].测绘技术装备, 2020, 22(3):14-16.
[4] 谭江涛,王章朋,钟波,等.多面函数参数自适应选取方法在GPS高程拟合中的应用[J].大地测量与地球动力学, 2020, 40(8):832-837.
[5] 周贻港,孙罗庆,李中洲.球面小波模型在GPS高程拟合中的应用[J].测绘通报, 2020(12):97-100.
[6] 杨明清,靳蕃,朱达成,陈现春.用神经网络方法转换GPS高程[J].测绘学报, 1999, 28(4):301-307.
[7] 王苗苗,柯福阳.多项式曲面拟合和BP神经网络GPS高程拟合方法的比较研究[J].测绘工程, 2013, 22(6):22-26.
[8] 惠振阳,程朋根,鲁铁定,等.一种基于综合模型的GPS高程优化方法[J].东华理工大学学报(自然科学版), 2020, 43(6):565-569.
[9] 贾雪,徐炜,刘超,等.顾及地球重力场模型的GNSS高程转换方法[J].测绘科学, 2019, 44(5):14-20.
[10] 缪祥柱.关于GPS高程转换方法研究及精度的分析[J].科技创新与应用, 2019(33):101-102.
[11] 张东明,吕翠华,杨万枢,等.大高差变化区域GNSS高程转换模型与方法的优选[J].地理空间信息, 2017, 15(2):91-93.
[12] 王乐洋,吴飞,吴良才. GPS高程转换的总体最小二乘组合方法[J].测绘工程, 2016, 25(4):11-14.
[13] 李睿,林鹏.多项式阶数对高程异常拟合的精度影响研究[J].安徽建筑大学学报,2020,28(6):96-99.
[14] 魏逸飞,孙伟,黄涛,等.二次多项式拟合法和多面函数拟合法在GNSS高程测量中的应用[J].测绘与空间地理信息, 2012, 35(12):32-33, 36, 40.
[15] 陈国恒,周建营,张惠军. GNSS解算策略对平差与高程拟合精度的影响分析[J].测绘与空间地理信息, 2021, 44(2):157-159.
[16] 刘梅姜.基于多项式拟合模型的GPS高程转换方法研究[J].福建地质, 2012, 31(1):84-89.
[17] 李晓桓. GPS水准拟合模型的优选[J].测绘通报, 2003(7):11-13.

Height conversion method and result analysis based on polynomial surface fitting model

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