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《Geomatics and Information Science of Wuhan University》 2016-03
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Fractal Interpolating Curve Surface and Its Application in Gravity Anomaly Gridding Process

SUN Wen;WU Xiaoping;WANG Qingbin;ZHOU Rui;LIU Xiaogang;61243 Troops;Institute of Geospatial Information,Information Engineering Uniersity;Xi'an Research Institute of Surveying and Mapping;National Key Laboratory of Geo-Information Engineering;Key Laboratory of Geo-space Environment and Geodesy of Ministry of Education,Wuhan University;  
Gravity data is always saved and used in grid format,which is also demanded for frequency domain computation as fast fourier transformation.Therefore,gridding method becomes the first and very important step of gravity data processing.Some gridding methods,such as Shepard and Kriging,were introduced into this step and improved the gridding precision.But when it comes to the case of sparse data,the gridding precision were sharply reduced.Moreover,the regular grid densification method was rarely studied.To meet the demands of regular grid densification,the fractal interpolating curve surface theory was introduced and applied in this paper.The computing formulae was deduced in detail.An experiment was carried out and result showed that,compared to the RBF method,the FIC method was better on the precision but worse on the error extremum.It means the FIC method showed bad behavior in data smoothing.Based on the Bouguer anomaly,a"remove-restore"method was applied to solve this problem.Result showed that not only was the precision improved by BAFIC method,but also was the error extremum reduced to a great extent,which made the result more reliable and applicable.The vertical scale parameter which plays a great role in BAFIC method was chosen after times of experiments in this paper,which could be optimized by better and precise methods.
【Fund】: 国家高技术研究发展专项基金(2013AA122502);; 国家自然科学基金(41274029;41304022;41404020;41504018);; 武汉大学地球空间环境和大地测量教育部重点实验室开放研究基金(11-01-03)~~
【CateGory Index】: P223
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