高斯函数是一个非常重要的数论函数，其应用非常广泛。
基于多高斯函数叠加方法，提出了环形平顶涡旋光束模型。
A model of an annular flat-topped vortex beam based on multi-Gaussian superimposition is proposed.
为了使滤波器具有理想的截断特性，引入了修正的高斯函数。
In order to obtain a sharp cutoff of the pentadiagonal filters, a modified Gaussian function is introduced.
数学上讲，对图像做高斯模糊等同于将图像与高斯函数卷积。
Mathematically, applying a Gaussian blur to an image is the same as convolving the image with a Gaussian function.
然后在不同区域内分别采用不同方差的高斯函数进行轮廓平滑；
Then, the different kinds of zones are smoothed with Gaussian functions with different variance.
用高斯函数拟会出谱线的形状，标出线心的波长值，作为自动证认的基础。
The Gauss function is used to fit the spectral lines, marking the central wavelengths, as a basis for automatic identification.
利用模糊系统的径向高斯函数网络对一类非线性时变系统的状态进行了估计。
Radial Gaussian function networks based on fuzzy systems is applied to the state estimation of nonlinear time varying systems.
使用了高斯函数作为神经网络的激励函数，并以最小二乘准则对字符进行识别。
Gauss function is used as neural network's inspirit function, and least square rule is used to recognize the character.
给出的典型数值计算结果证实了这种方法与有限拉盖尔·高斯函数展开法是等价的。
Typical numerical examples have been given, showing the equivalence of this method and the finite Laguerre Gauss function expansion.
采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
运用环带法对高斯函数形式的折射率分布进行了重构计算，对重构结果进行了检验和分析。
A deflection distribution with Gauss form is reconstructed with zoned method, the results of reconstruction are also examined and analyzed.
接着，论文对导出的原始图像直方图曲线进行分解，得到最接近直方图形状的高斯函数曲线。
Next, the estimated histogram is decomposed so as to get Gaussian curves nearest to the shape of the histogram.
讨论了计算温度场的热源模式，给出以高斯函数分布和双椭圆体能量密度分布的两种热源模式。
Heat source models for calculating temperature field were discussed, Gauss distributed source model and double ellipsoid heat source model were established.
为了对图像复原算法频谱恢复特性进行分析和评价，提出了一种基于高斯函数假设的分析新方法。
In order to analyze and evaluate the spectrum restoration property of image restoration algorithms, a new method based on Gaussian function is proposed.
以人类嗅觉机理为研究对象，研究建立了一种基于高斯函数(GPFN)神经网络的气味鉴别模型。
In this paper, with the mankind smell mechanism as the target for research, a model, based on Gausss function neural net, has been set up to distinguish smell.
根据走行部故障振动信号的特点，选用调制高斯函数作为分析小波，处理由损伤冲击造成的信号突变。
The modulate Gauss function is selected as the analysis wavelet to deal with the fault signal saltation caused by the damage concussion, according to the (characteristics) of fault vibration signals.
研究表明，只要傅里叶级数项数不少于30，改进后的算法比直接用复高斯函数展开具有更高的计算精度。
It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion, so long as the number of Fourier series is no less than 30.
该方法通过判断图像局部灰度包络曲面是否具备二维高斯函数曲面特征实现红外弱小目标检测，不需要进行传统的背景预测。
Instead of traditional background prediction, this method detects infrared small and dim target by judging whether the local grey level surface possesses the two dimension Gauss function feature.
对模糊的成像结果进行图像复原，采用高斯函数作为点扩展函数，应用于三维逆滤波和维纳滤波算法中，改进了这两种算法。
This paper used Gaussian function as point spread function, applying in inverse filtering algorithm and Wiener filtering algorithm and improving them.
文中以模糊函数理论为基础，分析了时频分析产生交叉项的原因，给出了以径向高斯函数为核函数的自适应时频分析优化算法。
This paper based on ambiguity function theory analyzes the cause of cross-components and gives the optimization algorithm of adaptive TFD with radially-gaussian kernel.
提出了一种基于自适应模糊系统的径向基高斯函数系统辨识方法，与传统的系统辨识和仿真方法相比，更具有精确性与智能性。
The modeling based on the system recognition theory and using the least square method in the case of the partially linear relationship the simulation precision is greatly improved.
在综合大量实例的基础上，提出双高斯函数逼近多模光纤的光脉冲输出的解析近似方法，使时域法确定光纤带宽的精度大为提高。
On the base of a plenty of facts we suggested a method in which bi-Gaussian form is approached the output pulse in multimode fibers The accuracy measuring band in time domain can be improved highly.
利用高斯函数得到了图象平滑去除随机噪声中使用的平滑模板的一个较普遍的公式。该公式为图象平滑去除噪声提供了多种模板选择。
A more common formula of templates used in image smooth denoising is developed from Gauss function in order to offer more templates to be chosen when denoising images with random noise.
使用高斯函数的一阶导数作为基本小波，对曲线的方向角函数进行多尺度小波分析得到候选点集，提出了四个筛选规则对候选点集进行逐步筛选得到正确角点集。
Firstly, using the first order derivative of Gaussian function as the base wavelet, the direction Angle function of a planar curve was analyzed on multiple scales to obtain the candidates of corners.
话题的公式是所谓的高斯相关函数。
The formula in question is the so-called Gaussian copula function.
本文是在考虑了呈高斯分布的激光脉冲的基础上，从电子分布函数着手研究了高能电子的产生和分布情况。
We take advantage of electron distribution function to discuss the production and distribution of hot electrons, taking account of Gaussian laser pulse.
该函数执行高斯金字塔结构下采样的步骤。首先，它与内核的源图像进行卷积。
The function performs the downsampling step of the Gaussian pyramid construction. First, it convolves the source image with the kernel.
依此原理，模拟了双高斯分布函数的投影，并由平行束卷积法重建出模拟的温度场。
On this foundation, it simulates the projections for double Gauss distribution function and reconstructs the simulating temperature field by the convolution method for parallel beam.
提出用离散曲率法提取特征点，曲率表达式包含了高斯核函数曲线，选用了合适的离散尺度因子。
The discrete curvature arithmetic was used to extract feature points, which the curvature expression contains Gaussian nuclear function and chooses appropriate discrete scale factor.
提出用离散曲率法提取特征点，曲率表达式包含了高斯核函数曲线，选用了合适的离散尺度因子。
The discrete curvature arithmetic was used to extract feature points, which the curvature expression contains Gaussian nuclear function and chooses appropriate discrete scale factor.
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