查询词典 laplace transform

In this paper,current colorization algorithms are summarized and the principle of color propagation is analyzed.Then a colorization algorithm based on Laplace equation is proposed.

在总结现有图像彩色化方法的基础上，分析了彩色化由局部向全局扩展的本质，进而提出了一种通过求解拉普拉斯方程实现颜色扩展的彩色化方法。

The time domain solutions are obtained by applying the numerical scheme proposed by Crump, for Laplace inversion.

采用Crump方法直接实现Laplce逆变换。文中算例表明Crump方法具有较好的计算精度。

Blast wave ; transfer function method ; transient response ; inversion of Laplace transformation ; Crump method ; epsilon algorithm

冲击波；传递函数法；瞬态响应； Laplace逆变换； Crum p法；ε算法

By using Lee\'s matching law, the excess pore-air pressure, excess pore-water pressure and settlement in the Laplace-transformed domain are obtained for one-dimensional consolidation in unsaturated soils, under the large-area uniform instantaneous loading. A computer program using the method by Crump and Durbin is developed to obtain the semi-analytical solution of the excess pore-air pressure, excess pore-water pressure and settlement under the boundary conditions of the top surface permeable to water and air and the bottom impermeable to water and air.

8采用李氏比拟法，应用Merchant粘弹性模型，得到了Laplace变换域内粘弹性非饱和土地基一维固结时超孔隙水压力，超孔隙气压力以及土层沉降的解；采用Crump及Durbin方法实现Laplace逆变换，获得大面积均布瞬时加荷，在顶面排气排水，底面不排气不排水情况下粘弹性非饱和土地基一维固结时的半解析解。

According to the defect of different type in log, histogram balance, fast average filter, fast mediate filter, differentiation sharp, Laplace sharp operator, Sobel sharp operator, Kirsch sharp operator, etc.

针对原木中不同类型的缺陷，本文采用的处理方法有直方图均衡、快速均值滤波、快速中值滤波、微分锐化、拉普拉斯算子锐化、Sobel算子锐化、kirsch算子锐化等算法。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

Laplace equation; Dirichlet problem;Direct boundary integral equation; Fredholm integral equation of the first kind;Galerkin boundary element method

论文导师祝家麟，论文学位硕士，论文专业计算数学论文单位重庆大学，点击次数 2，论文页数 73页File Size1023k

Firstly, according to the Laplace equation of ellipsoidal coordinates and the ellipsoidal harmonic functions in common use, the ellipsoidal series expansion of harmonic functions outside the referential ellipsoidal is introduced.

论文首先从椭球坐标的Laplace方程和常用的椭球谐函数出发，介绍了参考椭球面外调和函数的椭球谐级数展开。

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid.

通过引入椭球坐标系，利用拉普拉斯方程及其边界条件，求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布，并进一步得出了带壳椭球颗粒的部分共振条件。

The Laplace equation is a typical and simplest elliptic partial differential equation with wide applications.

Laplace 方程是最典型，最简单但应用广泛的椭圆型偏微分方程。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。