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球面调和
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  spherical harmonic
     And the spherical field and the circular field of displacement field are expressed by complex vector spherical harmonic functions, which provide the study of various kinetic effects with theoretical supports.
     复数矢量球面调和函数是球体位移的研究基础,采用复数矢量球面调和函数可把位移场的球形场和环形场一同表示出来,为地球各种动力学效应的统一研究提供了理论依据。
短句来源
     Spherical Harmonic Representation of Extended Distance Feature for 3D Model Retrieval
     用于3D模型检索的扩展距离球面调和表达
短句来源
     On the Convergence of Fitting Seismic-wave's Q-value Distribution by Using of Spherical Harmonic Function
     用球面调和函数拟合地震波Q值空间分布收敛性的研究
短句来源
     The main purpose of this work is to develop the mixed spectral method for three-dimensional exterior problems, using spherical harmonic and generalized Laguerre functions.
     本文研究三维外部问题的球面调和-广义Laguerre函数的混合谱方法。
短句来源
     Product spherical harmonic and a singular integral on product space
     乘积球面调和与一个奇异积分
短句来源
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  “球面调和”译为未确定词的双语例句
     A 3D Model Similarity Matching Algorithm Based on Spherical Harmonics Descriptor
     一种基于球面调和描述子的3维模型相似性比较算法
短句来源
     With the application of the mapping relationship from a sphere to a torus and the method of B-Spline interpolation, this paper obtains a relation of Fourier analysis and harmonic analysis on the torus, and realizes the self-consistent harmonic analysis of the Earth's gravity field.
     利用球面到轮胎面上的映射关系,借助圆周上的B样条插值技术,建立了轮胎面上Fourier分析与球面调和分析的关系,实现了地球重力场的自洽调和分析。
短句来源
     Spherical Harmonic-Generalized Laguerre Mixed Spectral Methods in Unbounded Domains
     无界区域问题的球面调和-广义Laguerre混合谱方法
短句来源
     We also develope the corresponding spherical harmonic-generalized Laguerre polynomial mixed spectral method and apply them successfully to computation of three dimensional problems, exterior problems and nonlinear problems.
     然后,我们发展了球面调和-广义Laguerre多项式混合谱方法,并成功地应用于全空间问题,球外问题以及非线性问题。
短句来源
     We first use recursive bisection to partition 3D models,and then we get spherical images by mapping partitions into concentric spheres,last we calculate spherical harmonics descriptors of spherical images to get feature binary trees of 3D models.
     首先,对3维模型进行一分为二的递归分解,然后对每次递归分解得到的3维模型顶点集合进行球面映射得到其球面图像,最后计算所有球面图像的球面调和描述子得到3维模型的特征二叉树。
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  相似匹配句对
     The Rotation of the 4-Dimensional Spherical Harmonics
     四维球面调和函数的旋转
短句来源
     Remark of Harmonic Foliations on the Sphere
     关于球面上的调和叶层的注记
短句来源
     HARMONIC DIVIDER
     调和
短句来源
     An application of harmonic pencil of lines
     调和线束的应用
短句来源
     Submanifolds in a Pseudo-sphere
     伪球面上的子流形
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  spherical harmonic
Spherical harmonic series have many of the same wonderful properties as Fourier series, but have lacked one important thing: a numerically stable fast transform analogous to the Fast Fourier Transform (FFT).
      
Without a fast transform, evaluating (or expanding in) spherical harmonic series on the computer is slow-for large computations probibitively slow.
      
Recently, fast and reliable algorithms for the evaluation of spherical harmonic expansions have been developed.
      
In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and finite elements, for a unsteady transport equation is discussed, and the error analysis of this scheme is proved.
      
Spherical harmonic series solution of fields excited by vertical electric dipole in earth-ionosphere cavity
      
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A simplified spherical harmonic analytical method in plotting inverse polefigure of cubic system. polycrystalline materials is developed. With X-ray,the (100) and (110) orientation distributions have been scanned by Schulz'smethod at the extent 0°-70° of polar angle, as a sheet of specimen set- onan accustomed texture goniometer. The use of the coefficients Gn(θ,φ) oftabular form following this article and the experimental data of specimenwill easily give the fiber axis density ω(θ,φ) in each orientation and...

A simplified spherical harmonic analytical method in plotting inverse polefigure of cubic system. polycrystalline materials is developed. With X-ray,the (100) and (110) orientation distributions have been scanned by Schulz'smethod at the extent 0°-70° of polar angle, as a sheet of specimen set- onan accustomed texture goniometer. The use of the coefficients Gn(θ,φ) oftabular form following this article and the experimental data of specimenwill easily give the fiber axis density ω(θ,φ) in each orientation and thenthe inverse pole figure may be plotted. For instance, applying such asimplified method should permit rather satisfactory plot of an inverse polefigure for cold- rolled and recrystallized steel containing 3% silicon. Tableof coefficient Gn(θ,φ) in appendix is calculated on a TQ-16 computer byALGOL-60, and the appropriate computer programs kept for reference areomitted.

本文提出了一个测建立方系材料反极图的简化球面调和分析法。在本法中用板状试样在习用的X射线织构测角台上以Schulz反射法扫测(100)和(110)晶面的取向分布,扫测极角范围为0°—70°利用实测数据和文后所附的系数表即可算出所有取向的纤维轴密度ω(θ,φ),从而绘制成该试样的反极图。 用这一简化法比较满意地测绘了冷轧并再结晶的含3%硅钢的反极图。 文后系数表系利用TQ—16电算机Algol—60语言算出,计算程序备查,从略。

A new approximate model or the earths gravity field is presented in this paper. We call it a mascon model. The model is constructed by superimposing a finite grid of mascons both at the earth's surface and at the bottom of the earth's crust on a gravity field expressed by a finite sum of low order spherical harmonics. The formula of the two-dimensional spectrum of the additional error is also given here. Finally, numerical results are presented for the case where the surface density fluctuations are estimated...

A new approximate model or the earths gravity field is presented in this paper. We call it a mascon model. The model is constructed by superimposing a finite grid of mascons both at the earth's surface and at the bottom of the earth's crust on a gravity field expressed by a finite sum of low order spherical harmonics. The formula of the two-dimensional spectrum of the additional error is also given here. Finally, numerical results are presented for the case where the surface density fluctuations are estimated from gradiometer measurements taken in a low satellite.

本文给出了一个新的重力场近似模型,称之为质聚模型。它是由两层有限质聚格点迭加在以低阶球面调和函数有限和表示的重力场上构成的。这两层质聚格点分别位于地球表面及岩石层的底部。本文给出了附加误差的二维谱的计算公式,并针对由低轨道卫星的重力梯度计测量数据来估计面密度变化的情况,给出了具体的数值结果。

In this paper,the authors discuss the convergence of fitting seismic-wave's

本文从球面调和多项式的数学理论方面研究了用球函数拟合地慢地震波Q 值空间分布方法的收敛性的问题。运用一种逼近的球面多项式的误差公式,证明用球谐函数拟合地幔地震波Q 值空间分布的方法是收敛性的;也提出从地震P 波的振幅A 和周期T 拟合、反演地幔范围P 波品质因数空间分布的误差Qer 与P 波(A、T)的观测数目N 的增加,Qer 的减少来予以验证。

 
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