Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《地震学报(英文版)》 2012-04
Add to Favorite Get Latest Update

A new approach for high fidelity seismic data recovery by fractal interpolation

Hongyan Liu 1, Tongjiang He 1 Yukun Chen 1 and Xinfu Li 2 1 Earthquake Administration of Tianjin Municipality, Tianjin 300201, China 2 School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China  
Recovering accurate data is important for both earthquake and exploration seismology studies, when data are sparsely sampled or partially missing. We present a method that allows for precise and accurate recovery of seismic data using a localized fractal recovery method. This method requires that the data are self-similar on local and global spatial scales. We present examples that show that the intrinsic structure associated with seismic data can be easily and accurately recovered by using this approach. This result, in turn, indicates that seismic data are indeed self-similar on local and global scales. This method is applicable not only for seismic studies, but also for any field studies that require accurate recovery of data from sparsely sampled datasets with partially missing data. Our ability to recover the missing data with high fidelity and accuracy will qualitatively improve the images of seismic tomography.
【Fund】: supported by the Spark Program of Earthquake Sciences (Grant No. XH13002)
【CateGory Index】: TP309.3;P315
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 2 Hits
1 FAN Yu-hong~①,LUAN Yuan-zhong~①,WANG Yong~①,LIANG Qing-ke~②,WANG Guo-xian~③(①ShanDong University of Science and Technology,TaiAn,271019;②LuXi Mining Company of LiNeng,ShanDong Province,272100;②Wuhu Geotechnical Engineering and Surveying Institute,AnHui Province,241000);The method study of combination of fractal interpolation and linear interpolation[J];Science of Surveying and Mapping;2005-02
2 Hong Yong WANG Zhao Lei FAN School of Applied Mathematics,Nanjing University of Finance and Economics, Nanjing 210046,P.R.China;Analytical Characteristics of Fractal Interpolation Functions with Function Vertical Scaling Factors[J];Acta Mathematica Sinica;2011-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 JI Jia-bing,WANG Hong-yong(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China);A class of iterated function systems of fractal interpolation surfaces with multiparameters[J];Journal of Anhui University(Natural Sciences);2009-05
2 FAN Zhao-lei,WANG Hong-yong(School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China);Error analysis for bivariate fractal interpolation functions based on the perturbation of parameters[J];Journal of Anhui University(Natural Sciences Edition);2010-04
3 PENG Tao,FENG Zhi-gang (Faculty of Science,Jiangsu University,Zhenjiang Jiangsu 212013,China);Profile Curves of Fractal Interpolation Surface and Its Dimension[J];Journal of Anshan Normal University;2009-04
4 Sha Zhen Zhejiane University,China;HOLDER PROPERTY OF FRACTAL INTERPOLATION FUNCTION[J];逼近论及其应用(英文版);1992-04
5 Sha Zhen;Chen Gang Zhejiang University,China;HAAR EXPANSIONS OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR LOGICAL DERIVATIVES[J];逼近论及其应用(英文版);1993-04
6 Qian Xiaoyuan(Dalian University of Technology,China);ON SPACES OF FRACTAL FUNCTIONS[J];分析,理论与应用(英文版);1996-01
7 Long Jingfan (Department of Mathematics, Bejing Normal University, 100875, Beijing, China);THE CONDITION OF FRACTAL INTERPROLATION[J];Journal of Beijing Normal University(Natural Science);2001-03
8 Dai Fang Xu Xiaoge 1. Xi'an University of Technology, Xi'an 710048, China 2. Beijing Information Technology Institute, Beijing 100101, China;A Method Determining Vertical Scaling Parameters of Fractal Interpolation[J];计算机辅助绘图设计与制造(英文版);2002-01
9 LIU Zhiyong1,2(1.Shenzhen Polytechnic,Shenzhen 518055,China;2.School of Mathematics and Computational Science,Sun Yat-Sen University,GuangZhou 510275,China);Simulation of Natural Scenery Based on IFS System and Matlab[J];Journal of Chengdu University(Natural Science Edition);2010-02
10 LIANG Li~1, XU Song-pu~1, XU Ze-yin~1, QI Guo-qing~2 (1.College of Information Management, Chengdu University of Technology, China; 2.College of Environment and Civil Engineering, Chengdu University of Technology, China);Study on theories of fractal, nerve net, cellular automaton and interpolation method[J];Journal of Chengdu University of Technology(Science & Technology Edition);2004-02
China Proceedings of conference Full-text Database 6 Hits
1 LIU Dan JIN Yi-chen (Institute of Nautical Science & Technology,Dalian Maritime University,Dalian,Liaoning,116026,P.R.China);Stochastic Fractal Algorithm of Generating Coastline Echo Image in Radar simulator[A];[C];2003
2 LI Xin-Fu~(1,2,3),LI Xiao-Fan~1 1 State Key Laboratory of Lithospheric Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China 2 Key Laboratory of Geo-detection(China University of Geosciences,Beijing),Ministry of Education,Beijing 100083,China 3 School of Geophysics and Information Technology,China University of Geosciences,Beijing 100083,China;Seismic data reconstruction with fractal interpolation[A];[C];2009
3 CHEN Liang-sheng~1 ZHANG Xue-feng~(2a) ZHU Wei-yong~(2b) 1.School of Information Science and Engineering,Shenyang University,Shenyang 110044,China; 2a.College of Sciences, 2b.College of Information Science and Engineering,Northeastern University,Shenyang 110004,China.;Fractal analysis of stock-market[A];[C];2007
4 Dan Liu Sean He (Institute of Nautical Science & Technology. Dalian Maritime University. Dalian. 116026) (Department of Computer Systems Faculty of Informadon Technology. University of Technology. Sydney);Interframe Compression Algorithm of Block Matching Video Image in Navigational Dynamic Simulation System[A];[C];2004
5 ;非线性插值在气象要素场中的应用研究[A];[C];2008
6 Zeng Lan-ling,Wang Yan (College of Information ang technology,shenyangLigong Umversity,Shenyang 110168;Institute of Information ang technology,Liaodong College,Dandong 118001;Golden Section in 3D Leaves Reconstruction[A];[C];2005
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 Li Caiwei(Institute of Nonmetallic Materials, China University of Geosciences, Wuhan 430074);FRACTAL INTERPOLATION AND GRAPHING OF GEOSCIENTIFIC DATA[J];EARTH SCIENCE;1995-02
2 Chen Gang;The Smoothness and Dimension of Fractal Interpolation Functions[J];高校应用数学学报B辑(英文版);1996-04
3 SUN Hong-quan (School of Civil Engineering and Architecture, Hebei University of Technology, Tianjin 300130, China);Fractal Geometry and Study on Fractal Interpolation[J];Journal of Hebei University of Technology;2002-01
4 ZHANG Shan shan(School of Civil Eng., Southwest Jiaotong University, Chengdu 610031, China);A Study on the Fractal Interpolation of Topographical Data[J];Journal of Southwest Jiaotong University;2000-02
5 XU Qun fang(School of Science, Zhejiang Forestry College, Lin'an Zhejiang, 311300);Study on Subsection Fractal Interpolation for Plane Curve Fitting[J];Journal of Yanbei Normal University;2003-05
6 Yu Guangming 1, Sun Hongquan 2, Zhao Jianfeng 1 ( 1 Liaoning Technical University, Fuxin 123000 China) ( 2 China University of Mining and Technology, Xuzhou 221008 China);THE FRACTAL INCREMENT OF DYNAMIC SUBSIDENCE OF THE GROUND SURFACE POINT INDUCED BY MINING[J];Chinese Journal of Rock Mechanics and Engineering;2001-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved