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Accelerating seismic interpolation with a gradient projection method based on tight frame property of curvelet

文献类型：期刊论文

作者Cao, Jingjie1; Wang, Yanfei2; Wang, Benfeng3
刊名EXPLORATION GEOPHYSICS
出版日期2015-09-01
卷号46期号:3页码:253-260
关键词curvelet transform gradient projection method inverse problems L-1 norm regularisation wavefield interpolation
DOI10.1071/EG14016
文献子类Article
英文摘要Seismic interpolation, as an efficient strategy of providing reliable wavefields, belongs to large-scale computing problems. The rapid increase of data volume in high dimensional interpolation requires highly efficient methods to relieve computational burden. Most methods adopt the L-1 norm as a sparsity constraint of solutions in some transformed domain; however, the L-1 norm is non-differentiable and gradient-type methods cannot be applied directly. On the other hand, methods for unconstrained L-1 norm optimisation always depend on the regularisation parameter which needs to be chosen carefully. In this paper, a fast gradient projection method for the smooth L-1 problem is proposed based on the tight frame property of the curvelet transform that can overcome these shortcomings. Some smooth L-1 norm functions are discussed and their properties are analysed, then the Huber function is chosen to replace the L-1 norm. The novelty of the proposed method is that the tight frame property of the curvelet transform is utilised to improve the computational efficiency. Numerical experiments on synthetic and real data demonstrate the validity of the proposed method which can be used in large-scale computing.
WOS关键词DISCRETE FOURIER-TRANSFORM ; DECOMPOSITION ; RECONSTRUCTION ; ALGORITHM ; RECOVERY ; NORM
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000360648400004
资助机构National Natural Science Foundation of China(41204075 ; National Natural Science Foundation of China(41204075 ; Natural Science Foundation of Hebei Province(D2014403007) ; Natural Science Foundation of Hebei Province(D2014403007) ; 41325016 ; 41325016 ; 11271349) ; 11271349) ; National Natural Science Foundation of China(41204075 ; National Natural Science Foundation of China(41204075 ; Natural Science Foundation of Hebei Province(D2014403007) ; Natural Science Foundation of Hebei Province(D2014403007) ; 41325016 ; 41325016 ; 11271349) ; 11271349)
源URL[http://ir.iggcas.ac.cn/handle/132A11/62266]  
专题地质与地球物理研究所_中国科学院油气资源研究重点实验室
作者单位1.Shijiazhuang Univ Econ, Shijiazhuang 050031, Hebei, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
3.China Univ Petr, State Key Lab Petr Resources & Prospecting, Beijing 102249, Peoples R China
推荐引用方式
GB/T 7714		 Cao, Jingjie,Wang, Yanfei,Wang, Benfeng. Accelerating seismic interpolation with a gradient projection method based on tight frame property of curvelet[J]. EXPLORATION GEOPHYSICS,2015,46(3):253-260.
APA Cao, Jingjie,Wang, Yanfei,&Wang, Benfeng.(2015).Accelerating seismic interpolation with a gradient projection method based on tight frame property of curvelet.EXPLORATION GEOPHYSICS,46(3),253-260.
MLA Cao, Jingjie,et al."Accelerating seismic interpolation with a gradient projection method based on tight frame property of curvelet".EXPLORATION GEOPHYSICS 46.3(2015):253-260.

入库方式： OAI收割

来源：地质与地球物理研究所

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