给出了线性算子逼近球面函数的逼近阶。
The approximation estimates of spherical functions by linder operators are given.
本文提出一个新的图象边缘检测方法，采用扁球面函数的特性，形成一种特殊的滤波器。
This paper suggests a new image edge detection method which is based on properties of prolate spheroidal function and performed with a special filter.
如利用的是整个大圆的积分，得到的是球面上任何点及其对蹠点上函数的平均值，或者说得到的是球面上函数的偶对称部分。
If the whole integrals on the great circle are used, the average of the function values for any point and its antipodal can be obtained.
得到了欧氏空间中，单位球面上坐标函数关于某一特定标架场的协变微分的两个等式。
We obtain two formulas about the covariant derivative of the coordinate functions on the unit sphere in Eucdidean space.
使用多元复合函数微商法则，导出拉普拉斯算符在柱面坐标系和球面坐标系中表达式。
The Laplacian in the columnar and spherical coordinates is deduced by using the derivative principle of the multivariable functions.
本文讨论了球面聚光镜的数学原理，导出了光能密度分布函数，并提出了热能接收器设计方案。
This paper discusses the principle of the concentrating property of the spherical reflector, derives the light energy distributing function, and gives the design of the heat energy receiver.
给出了在狄利克雷边界条件下，由两个相交球面围成的区域中泊松方程的格林函数。
The Green's function for the Poisson equation in the domains bounded by two intersecting spheres with Dirichlet boundary conditions is presented.
在变换后的球面域上用球谐函数来拟合速度函数，达到降低球谐系数阶数的目的。
Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.
该方法从分析球面调和函数入手，首先得出环境贴图的二次多项式表达形式；
The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping.
计算了一个非球面非共轴无焦系统的波动光学传递函数。
The Optical Transfer Function of an afocal aspherical and non-coaxial optical system is also calculated.
通过对冲击波、爆轰波衰减渐近规律的分析，推导出柱面、球面强爆轰波的衰减有限距离的函数表达式。
The finite attenuation distance of the cylindrical and spherical detonation was deduced through analyzing the asymptotic attenuation.
文章给出了一些有理函数它们的Julia集为整个黎曼球面。
The paper gives some rational functions whose Julia sets are the whole Riemann sphere.
采用螺旋基函数和检验函数的矩量法分析了单臂半球面螺旋天线和双臂半球面螺旋天线的驻波、增益及方向图等特性。
The wideband characteristics of two hemispherical helical antennas are analyzed by the method of moment with curved basic and testing function.
根据3 -D数据的优势，利用图像成像原理和球面调和函数理论，结合3 - D投影原理和PC A技术建立了一个3 - D人脸模型。
A 3-d face model is constructed by the imaging theory and spherical harmonics, combining with the principle of 3-d projection and PCA.
根据3 -D数据的优势，利用图像成像原理和球面调和函数理论，结合3 - D投影原理和PC A技术建立了一个3 - D人脸模型。
A 3-d face model is constructed by the imaging theory and spherical harmonics, combining with the principle of 3-d projection and PCA.
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