高斯函数

通常的SAR图像油膜检测采用高斯函数一阶导和二阶导作为小波基函数，运算速度慢；

Normal oil spill detection uses the first and second derivatives of a Gaussian function as the basic wavelet function , which has slow computing speed .

研究了B样条小波函数与高斯函数作为平滑函数的不同，通过对比，本文确定使用三阶B样条小波函数作为平滑函数，并设计出了三阶B样条小波函数的平滑滤波算子。

The differences between the B-spline wavelet function and the Gaussian function were studied when they used as a smooth function . By contrast , the Cubic B-spline wavelet function was used as a smooth filter operator in this paper . 4 .

初步证实了TEACO2激光器输出光束的能量密度分布可以按厄米-高斯函数展开。

It was proven that the energy density distribution of a TEA CO_2 laser could be expanded in Hermit-Gauss functions .

将原有的高斯函数拟合方法做一定的调整，使得此方法更加适合手提式X荧光仪器的使用。

This article adjusts the Gauss Regression in order to make it more efficaciously when it is running on in-situ X-ray instrument .

为方便计算K值，用非线性的模型拟合出了脉搏信号，该模型是高斯函数的线性组合。

For convenience of calculating the K-value , the pulse signal is fitted by the nonlinear model , which is a linear combination of Gaussian functions .

为了改善移动机器人Markov定位算法中方向传感器模型的性能，提出基于高斯函数的新概率模型。

To improve the performance of orientation sensor model in Markov localization algorithm for mobile robots , a new probabilistic model based on Gauss distribution was proposed .

RBF网络采用隐含层为高斯函数，是局部逼近网络，有效的加快了收敛速度和避免局部最优。

RBF networks using implicit layer for the Gauss function , which is local approximation network , effectively accelerates the convergence speed and avoid local optimum .

广泛地应用GTO基函数的一个方法是简缩高斯函数集。

A device widely used with GTO basis functions is that of a contracted Gaussian set .

与C-V模型不同，LBF模型引入了一个以高斯函数为核函数的局部二值拟合（localbinaryfitting，LBF）能量。

In contrast to C-V models , LBF model introduces a local binary fitting ( LBF ) energy with a Gaussian kernel function .

基于高斯函数择优和模糊控制的电焊电源STT波控法

STT Wave Control of the Welding Power on Gauss Function and Fuzzy Control

收敛于Canny算子的基数B样条小波既能象高斯函数的导数一样，近似满足Canny提出的最优准则，同时与Canny算子相比可以快速有效地实现。

Like the derivative of Gauss function , B-spline wavelet converging to Canny operator can satisfy the optical criteria approximately and detect edges with very high calculation speed .

采用以高斯函数为核函数的SVM所构成的信噪分离器，对信号和噪声进行识别和分离，从而消除噪声，得到高信噪比的超声回波信号。

A signal and noise separator based on SVM whose kernel function is Gauss function was used to distinguish the target signals from noises , and enhance the SNR by removing noises .

定量分析了高斯函数、高斯-拉普拉斯二阶微分函数和DOG函数对标准尺度信号的检测性能并作了比较，比较结果表明DOG函数有更好的尺度检测性能；

After the quantitative analysis and the comparison of the scale detection performance of Gauss function , the second order derivative of Gaussian-laplacian and DOG , it is showed that DOG function has better scale detection performance .

将上述部分理论与方法运用于非线性GPS基线解算、GPS水准高程的非线性高斯函数拟合及桥塔位移的非线性时序分析等应用问题，得出许多有意义的结论和满意结果。

Applying some way and theory to solution of nonlinear GPS baseline , GPS elevation regression by nonlinear Gauss function , and nonlinear time-serials model analysis on deformation of bridge tower , and got meaningful conclusion and results .

RBF神经网络作为基础网络，采用高斯函数实现输入层到隐层的非线性映射，输出层则采用有监督学习算法训练网络的权值，从而实现输入层到输出层的非线性映射。

RBF network , as a basic network , performed the nonlinear mapping from input nodes to hidden nodes using Gauss function and linear mapping from hidden nodes to output nodes using supervised learning algorithm .

首先得出了具有拉盖尔-高斯函数形式的VCSEL与MMF的模场表达式，并给出了相应的模场半径的计算公式；

We deduce the expressions of VCSEL and MMF modal field , known as Laguerre-Gauss functions , and give the formula of their modal radii .

利用有限元分析软件ANSYS，对中厚板手工对接多道焊的温度场和应力场的分布进行了动态模拟，提出高斯函数和双椭球函数相结合的双热源模型。

The finite element analysis of temperature fields and stress fields in the butt-welding of two thick planes is accomplished based on the ANSYS . It puts forward a double heat sources model combined with Gaussian and double ellipsoidal fuction .

该方法假设光学传递函数H和退化图像频谱函数G为高斯函数，采用方差以及提出的方差比作为频谱宽度指标，对图像复原算法的频谱恢复特性进行定量分析和评价。

The optical transfer function H and degraded image spectrum function G are assumed as Gaussian functions , and the variance and variance ratio are used as indexes of the spectrum width to analyze and evaluate the spectrum restoration property of the image restoration algorithms quantificationally .

发现对这些微分截面在不同靶电荷及入射能量下，都可用带两个参数的高斯函数αexp（β（χ&0.5）~2）很好地拟合。

We found that the dependence of the differential cross sections on the scaled energy of secondary electrons can be well fitted with a two-parameter Gaussian function .

针对Li提出的平顶光束的新描述模型，分别采用广义二阶矩方法和矩形函数的复高斯函数展开方法，推导出平顶光束通过硬边光阑的广义光束传输M2因子和模相关系数的解析表达式。

By using the definition of generalized second-order moments and complex Gaussian functions expansion of rectangular function , the analytical expressions for the generalized M2-factor and mode coherence coefficients of the new model of flat-topped beams introduced by Li have been derived .

结果表明用高斯函数的各阶导数作接收脉冲时，TH-BPSK系统性能比TH-PPM系统性能好。

When the received pulse is derivations of Gauss function , the performance of TH-BPSK is better than that of TH-PPM system .

基于Preston假设，建立了数控化学抛光理论模型，运用WYKO干涉仪观察实验现象可知，化学抛光刻蚀曲线基本上成平底陡峭的去除函数曲线，小磨头抛光是倒置的仿高斯函数曲线。

Based on the Preston supposition , the theory and the removal function of numerically controlled chemical polishing are setup . The removal function curve of small tool polishing is Gauss-like .

高斯函数是被广泛应用的径向基函数，因此，调整的参数包括后件部分的连接权，以及前件部分的高斯隶属度函数的均值和方差，应用BP算法实现了这些参数的在线调整。

Gaussian function is widely used radial basis function , therefore , the adjustment parameters include the connection weights after the piece parts , and the antecedent part of the Gaussian membership function of the mean and variance , the application of BP algorithm to adjust these parameters online .

通过基于权重系数调整的GMM-UBM模型大幅提高经典GMM-UBM在识别中的计算效率，避免高斯函数重复计算。

In order to avoid redundant computation of Gaussian function , a new kind of GMM-UBM model is designed based on coefficient adjustment .

本文以2-D高斯函数作为核函数，明确给出了角点图像的尺度空间检测边缘是一个由角边界的斜率和分析尺度共同决定的椭圆。

With the 2-D Gaussian function as the kernel , the detected edge of an acute corner in scale-space , that is an ellipse determined by the slope of the corner boundary and the analysis scale , is given out clearly in this paper .

为改善系统性能，在满足FCC频谱要求的前提条件下，先确定各阶高斯函数的最小脉冲形成因子，根据逐步推导，运用MATLAB计算出不同的高斯导函数的最大能量值。

In order to improve system performance , to meet the FCC spectrum requirements of the prerequisite conditions , the Gaussian function to determine the minimum pulse forming factor , according to the gradual derivation , using MATLAB to calculate the different Gaussian derivative maximum energy value .

在垂直于z轴截面内强度分布仍然是椭圆高斯函数分布，在传播方向上光束峰值强度沿直线分布，波前也存在横向位移。

The intensity distribution of the resulting beam is a Gaussian function distribution with the width varying as an ordinary elliptical Gaussian beam in the plane perpendicular to z axis , the peak intensity of which traces a linear trajactory . The wave fronts are displaced laterally .

本文从Marr小波函数与高斯函数的相互关系，分析了Marr小波变换对信号奇异点的响应特性，得到Marr小波变换的零交叉特性是检测图象边缘点的理论依据。

A method of edge detection is presented . It is based on the Marr wavelet transform of image which provides the characterization of Zero-Crossing in the position of singular signal .

Canny最早提出了边缘检测的三条连续准则：最优检测结果、最优定位和低重复响应，并在这些准则的基础上得到了最优线性滤波器&高斯函数的一阶导数。

Canny has proposed three continuous criteria to compare the performance of different filters : good detection , good localization and low-responses . Based on these criteria he got optimal filter for edge detection : derivative of Gaussian function .

为了给研究和分析TEACO2激光器输出光束提供一种新的处理方法，采用FGB理论，对实验测量的一台TEACO2激光器输出的实际平顶型光斑的能量密度分布按厄米-高斯函数进行了展开。

In order to find a new method for studying and analyzing the output beams of TEA CO_2 lasers , according to the FGB theory , the energy density distribution of the measured flat-top beam output by a TEA CO_2 laser was expanded in Hermit-Gauss functions .