Simultaneous Interpolation and Denoising Method for Airborne Gravity Data Based on Improved Projection onto Convex Sets Theory

ZENG Xiaoniu; LI Xihai; LIU Jihao; NIU Chao; HOU Weijun

doi:10.13203/j.whugis20180470

Volume 45 Issue 10

Oct. 2020

Turn off MathJax

Article Contents

Abstract

References

Geomatics and Information Science of Wuhan University > 2020 > 45(10): 1555-1562. > DOI: 10.13203/j.whugis20180470

ZENG Xiaoniu, LI Xihai, LIU Jihao, NIU Chao, HOU Weijun. Simultaneous Interpolation and Denoising Method for Airborne Gravity Data Based on Improved Projection onto Convex Sets Theory[J]. Geomatics and Information Science of Wuhan University, 2020, 45(10): 1555-1562. DOI: 10.13203/j.whugis20180470

Citation:

PDF (32534 KB)

Simultaneous Interpolation and Denoising Method for Airborne Gravity Data Based on Improved Projection onto Convex Sets Theory

1.
School of Nuclear Engineering, Rocket Army Engineering University, Xi'an 710025, China

Funds:

The National Natural Science Foundation of China 41804136

The National Natural Science Foundation of China 41774156

The National Natural Science Foundation of China 61773389

the Young Talent Fund of University Association for Science and Technology in Shanxi, China 20180702

More Information

Author Bio:
ZENG Xiaoniu, PhD, lecturer, specializes in gravity data processing and interpretation. E-mail: xiaoniuzeng@163.com
Corresponding author:
LI Xihai, PhD, professor. E-mail: xihai_li@163.com
Received Date: December 26, 2019
Published Date: October 04, 2020

Graphical Abstract

Abstract

Abstract

The areas of airborne gravity measurement are often irregular and the gravitational measurement data often have vacancy and high frequency noise interference. Conventional airborne gravity data processing generally performs the two steps of interpolation and denoising independently. In this paper, we consider these two problems in a unified way. Learning from seismic data processing methods, we propose an iterative method for interpolation and denoising of airborne gravity data based on the projection onto convex sets method. Using the simulative airborne gravity data based on the EGM2008, the results of numerical calculation examples have clearly demonstrated that our proposed iterative method for interpolation and denoising of gravity data is better than the four classical interpolation methods and some wavelet threshold denoising methods. And the effectiveness of the method is further verified by the measured aerial gravity data of a certain area.
- airborne gravity,
- projection onto convex sets,
- interpolation,
- denoising,
- iterative method

FullText(HTML)

References (18)

References

[1]	孙中苗, 翟振和.航空重力测量数据的小波阈值滤波[J].武汉大学学报·信息科学版, 2009, 34(10): 1 222-1 225 http://ch.whu.edu.cn/article/id/1415 Sun Zhongmiao, Zhai Zhenhe. Filtering of the Airborne Gravity Data by Wavelet Thresholding[J]. Geomatics and Information Science of Wuhan University, 2009, 34(10): 1 222-1 225 http://ch.whu.edu.cn/article/id/1415
[2]	朱建军, 章浙涛, 匡翠林, 等.一种可靠的小波去噪质量评价指标[J].武汉大学学报·信息科学版, 2015, 40(5):688-694 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=whchkjdxxb201505022 Zhu Jianjun, Zhang Zhetao, Kuang Cuilin, et al. A Reliable Evaluation Indicator of Wavelet De-noising[J]. Geomatics and Information Science of Wuhan University, 2015, 40(5):688-694 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=whchkjdxxb201505022
[3]	徐遵义, 姜玉祥, 赵亮, 等.改进的Shepard算法及其在重力异常插值中的应用[J].武汉大学学报·信息科学版, 2010, 35(4): 477-480 http://ch.whu.edu.cn/article/id/919 Xu Zunyi, Jiang Yuxiang, Zhao Liang, et al. Improved Shepard Method and Its Application in Gravity Field Data Interpolation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(4): 477-480 http://ch.whu.edu.cn/article/id/919
[4]	孙文, 吴晓平, 王庆宾, 等.分形插值曲面及其在重力场格网加密中的应用[J].武汉大学学报·信息科学版, 2016, 41(3): 331-335 doi: 10.13203/j.whugis20130492 Sun Wen, Wu Xiaoping, Wang Qingbin, et al. Fractal Interpolating Curve Surface and Its Application in Gravity Anomaly Gridding Process[J]. Geomatics and Information Science of Wuhan University, 2016, 41(3): 331-335 doi: 10.13203/j.whugis20130492
[5]	朱钰, 王伟, 章传银, 等.流动重力空间插值方法比较[J].测绘通报, 2017(10):12-17 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chtb201710003 Zhu Yu, Wang Wei, Zhang Chuanyin, et al. Comparison on Mobile Gravity Among Different Spatial Interpolation Methods[J]. Bulletin of Surveying and Mapping, 2017(10):12-17 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chtb201710003
[6]	许丽娜, 何鲁晓.基于凸集投影的高分四号卫星影像超分辨率重建[J].测绘学报, 2017, 46(8): 1 026-1 033 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxb201708012 Xu Lina, He Luxiao. GF-4 Images Super Resolution Reconstruction Based on POCS[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(8): 1 026-1 033 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxb201708012
[7]	Wang S Q, Zhang J H. Fast Image Inpainting Using Exponential-Threshold POCS plus Conjugate Gradient[J]. The Imaging Science Journal, 2014, 62(3): 161-170 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=10.1179/1743131X13Y.0000000053
[8]	Gao J J, Stanton A, Naghizadeh M, et al. Convergence Improvement and Noise Attenuation Considerations for Beyond Alias Projection onto Convex Sets Reconstruction[J]. Geophysical Prospecting, 2013, 61(s1): 138-151 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=10.1111/j.1365-2478.2012.01103.x
[9]	曹静杰, 王本锋.基于一种改进凸集投影方法的地震数据同时插值和去噪[J].地球物理学报, 2015, 58(8): 2 935-2 947 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxb201508027 Cao Jingjie, Wang Benfeng. An Improved Projection onto Convex Sets Method for Simultaneous Interpolation and Denoising[J]. Chinese Journal of Geophysics, 2015, 58(8): 2 935-2 947 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxb201508027
[10]	Wang B F, Chen X H, Li J Y, et al. An Improved Weighted Projection onto Convex Sets Method for Seismic Data Interpolation and Denoising[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2016, 9(1): 228-235 doi: 10.1109/JSTARS.2015.2496374
[11]	Chen Y, Chen X, Wang Y, et al. The Interpolation of Sparse Geophysical Data[J]. Surveys in Geophysics, 2018, 1: 1-33 doi: 10.1007/s10712-018-9501-3
[12]	Novák P, Heck B. Downward Continuation and Geoid Determination Based on Band-Limited Airborne Gravity Data[J]. Journal of Geodesy, 2002, 76(5): 269-278 doi: 10.1007/s00190-002-0252-y
[13]	Menke W. Applications of the POCS Inversion Method to Interpolating Topography and Other Geophysical Fields[J]. Geophysical Research Letters, 1991, 18(3): 435-438 doi: 10.1029/90GL00343
[14]	闫浩飞, 刘国峰, 薛典军, 等.基于凸集投影方法的重磁数据规则缺失重建[J].地球物理学进展, 2016, 31(5): 2 192-2 197 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201605043 Yan Haofei, Liu Guofeng, Xue Dianjun, et al. Reconstruction of Gravity/Magnetic Data with the Projection-onto-Convex-Sets Methods[J]. Progress in Geophysics, 2016, 31(5): 2 192-2 197 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201605043
[15]	Spector A, Grant F S. Statistical Models for Interpreting Aeromagnetic Data[J]. Geophysics, 1970, 35(2): 293-302 http://gji.oxfordjournals.org/cgi/ijlink?linkType=ABST&journalCode=gsgpy&resid=35/2/293
[16]	Ravat D, Pignatelli A, Nicolosi I, et al. A Study of Spectral Methods of Estimating the Depth to the Bottom of Magnetic Sources from Near-Surface Magnetic Anomaly Data[J]. Geophysical Journal International, 2007, 169(2): 421-434 doi: 10.1111/j.1365-246X.2007.03305.x
[17]	Chen G, Cheng Q, Zhang H. Matched Filtering Method for Separating Magnetic Anomaly Using Fractal Model[J]. Computers & Geosciences, 2016, 90: 179-188 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=c621ffb3718c331adff58cd67ed10022
[18]	白世彪, 王建, 常直杨. Surfer10地学计算机制图[M].北京:科学出版社, 2012 Bai Shibiao, Wang Jian, Chang Zhiyang. Surfer 10 for Computer Graphics of Earth Science[M]. Beijing: Science Press, 2012

[1]	LIANG Wei, XU Xin-yu, LI Jian-cheng, HUANG Jian, LI Peng-yuan, LIU Zhan-ke, CHEN Xiao-ying. Research on Determination of Gravity Field Models in Regional Area Using Airborne Gravity Data and Reference Model[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20230002
[2]	LUO Zhicai, ZHONG Bo, ZHOU Hao, WU Yunlong. Progress in Determining the Earth's Gravity Field Model by Satellite Gravimetry[J]. Geomatics and Information Science of Wuhan University, 2022, 47(10): 1713-1727. DOI: 10.13203/j.whugis20220537
[3]	SU Yong, FAN Dongming, GU Yanchao. Gravity Field Modeling Using Energy ConservationApproach and GOCE Orbits[J]. Geomatics and Information Science of Wuhan University, 2014, 39(9): 1043-1046. DOI: 10.13203/j.whugis20130029
[4]	ZHONG Zhen, LI Fei, YAN Jianguo, SHAO Xianyuan. Comparison and Analysis on Main and Newly Lunar Gravity Field Models[J]. Geomatics and Information Science of Wuhan University, 2013, 38(4): 390-393.
[5]	WANG Zhigang, BIAN Shaofeng. Passive Location of Underwater Target Based on Local Gravity Field Model[J]. Geomatics and Information Science of Wuhan University, 2008, 33(9): 918-921.
[6]	MA Hongbin, DONG Zhongyu. GPS Level Height Manage Method Based on DEM and Gravity Model[J]. Geomatics and Information Science of Wuhan University, 2007, 32(9): 767-769.
[7]	LUO Jia, SHI Chuang, ZOU Xiancai, WANG Haihong. Comparison of Present SST Gravity Field Models[J]. Geomatics and Information Science of Wuhan University, 2006, 31(7): 594-598.
[8]	LUO Jia, JIANG Weiping, WANG Haihong, ZOU Xiancai. Precision Analysis of SST Gravity Field Model in China[J]. Geomatics and Information Science of Wuhan University, 2006, 31(3): 199-202.
[9]	TAO Benzao. Control of the Adjustment Model Errors for the Earth's Gravity Field[J]. Geomatics and Information Science of Wuhan University, 2003, 28(6): 668-670,709.
[10]	NING Jingsheng. Following the Developments of the World,Devoting to the Study on the Earth Gravity Field[J]. Geomatics and Information Science of Wuhan University, 2001, 26(6): 471-474,486.

Cited By

Cited by

Periodical cited type(2)

1.	李新星，李建成，周睿，范昊鹏. 六边形网格的平均重力异常数据构建及其统计优势分析. 武汉大学学报(信息科学版). 2025(03): 507-514 .
2.	王兵. 基于EGM2008重力场高程异常值模型在矿山测量中的应用. 世界有色金属. 2022(16): 229-231 .

Other cited types(1)

Get Citation

PDF

XML

Article views PDF downloads Cited by(3)

Simultaneous Interpolation and Denoising Method for Airborne Gravity Data Based on Improved Projection onto Convex Sets Theory

Abstract

References

Related Articles

Cited by

Periodical cited type(2)

Other cited types(1)

Catalog

Related

Simultaneous Interpolation and Denoising Method for Airborne Gravity Data Based on Improved Projection onto Convex Sets Theory

Abstract

References

Related Articles

Cited by

Periodical cited type(2)

Other cited types(1)

Catalog

Related

Export File

Citation

Format

Content