Splines on the three-dimensional ball and their application to seismic body wave tomography
Splines on the three-dimensional ball and their application to seismic body wave tomography
复制标题
三维球样条及其在地震体波层析成像中的应用
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
V. Michel
中科院分区：
文献类型：
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作者：
A. Amirbekyan;V. Michel
在本文中，我们构造样条函数的基础上再生核希尔伯特空间插值/近似的地震波的速度场的基础上的走时数据的非均匀网格的源（震源）和接收器（地震台站）。理论方面，包括误差估计和收敛结果以及数值结果证明。
In this paper, we construct spline functions based on a reproducing kernel Hilbert space to interpolate/approximate the velocity field of earthquake waves inside the Earth based on travel-time data for an inhomogeneous grid of sources (hypocenters) and receivers (seismic stations). Theoretical aspects including error estimates and convergence results as well as numerical results are demonstrated.