查询词典 convolution equation

We propose a new method-image displacement elimination method, it overcome shortcomings of FDDI and can solve convolution equation set in space domain quickly.

我们利用Vandermonde矩阵求逆的特性和我们提出的空间域图像移位消去法，可以用较少的计算量求解出卷积方程组，从而快速重建断层像。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

Firstly, a balance equation is erected, And then,on the basis of the predecessor formula and with the Convolution Theorem and Fourier inverse transforms,a semi-analytical solution of the velocity response in time-domain under semi-sine exciting force is given.

建立成层土中桩纵向振动平衡方程，利用卷积定理和傅立叶逆变换求得半正弦脉冲激振作用下桩顶速度响应的半解析解。

If the lumped approach were used, then NR〓 would become NR〓 and the above equation becomes a discrete form of general convolution integral.

通过对花园口1949～1996年48年枯水径流的分析，大致可以认为，环境用水的下限约为多年平均水资源量的5～15％。

Based on the first linearized Boussinesq equation, analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral.

在河渠边界控制下的半无限含水层中，对时变垂向入渗影响下的潜水非稳定渗流模型，利用Boussinesq第一线性化方法，通过Laplace变换并结合卷积原理，导出模型的解析解。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

In order to widen the scope of application of the equation, a thermodynamical enthalpy potential equation of the LHSS equation was derived according to the thermodynamical relation of universality of the enthalpy, and it has been used for calculating the process of adiabatic throttle.

为拓宽该方程的适用范围，文章从热焓的普适性热动力学关系出发，推导了该方程的热力学焓差方程式，并把它应用于绝热节流计算过程。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

In this way the algebraic equation and the differential equation of the elasticity are simplified to the linear equation.

这样可使弹性力学中的代数方程和微分方程简化为线性方程。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。