Chin. Phys. Lett.  2008, Vol. 25 Issue (3): 1157-1159    DOI:
Original Articles |
An Explicit Fractal Interpolation Algorithm for Reconstruction of Seismic Data
LI Xin-Fu1,2;LI Xiao-Fan3
1Key Laboratory of Geo-detection (Ministry of Education), China University of Geosciences, Beijing 1000832School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083.3State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029
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LI Xin-Fu, LI Xiao-Fan 2008 Chin. Phys. Lett. 25 1157-1159
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Abstract Based on our previous investigation and the pioneering work of other researchers, a novel explicit fractal interpolation method based on affine transform is proposed, in which we approximate the vertical scaling factors by the locally explicit expression. Numerical experiments indicate that the explicit fractal interpolation method shows great accuracy of reconstruction of the
seismic profile and yields significant improvement over wave-equation based trace interpolation methods (unified approach).
Keywords: 93.85.Bc      91.30.Ab      93.85.Rt     
Received: 05 August 2007      Published: 27 February 2008
PACS:  93.85.Bc (Computational methods and data processing, data acquisition and storage)  
  91.30.Ab (Theory and modeling, computational seismology)  
  93.85.Rt (Seismic methods)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2008/V25/I3/01157
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LI Xin-Fu
LI Xiao-Fan
[1] Mandelbrot B B 1967 Science 155 636
[2] Barnsley M F 1986 Constructive Approximation 16 303
[3] Ronen J 1987 Geophysics 52 973
[4] Porsani M J 1999 Geophysics 64 1461
[5] Christoph Jager,Thomas Hertweck and Peter Hubral 2002 72nd Ann. Internat.Mtg., Soc. Expl. Geophys. Expanded Abstracts2178
[6] Kabir M M N and Verschuur D J 1995 Geophys. Prosp. 43 347
[7] Trad D, Ulrch T and Sacchi M D 2003 Geophysics 68 386
[8] Gulunay N and Chambers R E 1997 67th Ann.Internat. Mtg., Soc. Expl. Geophys Expanded Abstracts 1100
[9] Meng X H 2000 J. Changchun University of Science andTechnology Suppl. 30 150
[10] Wang Y 2003 Geophys. Prosp. 51 75
[11] Wen H M ,Zhuang Q D and Ma X H 2005 Well LoggingTechnol. 29 435
[12] Yang S G and He M X 1998 Comput. Tech. Geophys.Geochem. Exploration 20 218
[13] Liu G, Hu Y L and Jia Y 2002 Comput. Tech. Geophys.Geochem. Exploration 24 304
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