A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods
复制标题
针对反重力问题和基于小波的方法的非唯一性的各种技术的统一方法
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
A. Fokas
中科院分区：
文献类型：
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作者：
V. Michel;A. Fokas
本文提供了两个主题的概述。首先，给出了解决重力反问题解的非唯一性的各种技术的统一方法；还给出了一些已知结果的简单证明。其次，简明扼要地总结了一种涉及尺度函数和小波的特殊的多尺度正则化技术。
This paper provides an overview of two topics. First, it presents a unified approach to various techniques addressing the non-uniqueness of the solution of the inverse gravimetric problem; alternative, simple proofs of some known results are also given. Second, it summarizes in a concise and self-contained way a particular multiscale regularization technique involving scaling functions and wavelets.