| 虚拟单层密度精度的进一步改善及其快速计算方法 |
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| 引用本文： | 邱卫根.虚拟单层密度精度的进一步改善及其快速计算方法[J].武汉大学学报(信息科学版),1988(1). |
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| 作者姓名： | 邱卫根 |
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| 摘 要： | 文章首先讨论了用配置法综合利用各种重力信息进一步提高虚拟单层密度精度的可行性,从理论上证明了解的唯一性,同时导出了虚拟单层密度与扰动位线性泛函之间的协方差函数,使该方法的实际计算成为可能。文章的第二部份提出了用快速傅立叶变换计算虚拟单层密度及局部地形改正,模拟计算表明该方法精度高、速度快,其工效比传统的迭代法提高几十倍。
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| 关 键 词： | 虚拟单层密度 快速傅立叶变换 希尔伯特空间 |
The Further Improvement of the Accuracy of the Fictitious Single Layer Dansity and Its Fast Computation Method |
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| Qiu Weigen.The Further Improvement of the Accuracy of the Fictitious Single Layer Dansity and Its Fast Computation Method[J].Geomatics and Information Science of Wuhan University,1988(1). |
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| Authors: | Qiu Weigen |
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| Abstract: | In this paper the author discusses the possibility of the improvement of the accuracy of the fictitious single layer density by collocation method using various kinds of gravity data. The uniquness of the solution is proved and the eovariance between the single layer density and the linear functionals of the disturbing potential are derived.In the second part of the paper, the computation of the single density and terrain correction by Fast Fourier Transform method is proposed. Simulating test shows that the FFT method is very fast and accurate. |
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| Keywords: | fictitious single layer density Fast Fourier Transform Hilbert space |
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