Laplace Operator

Pre-processing method for curves , including Laplace operator , morphologic operator and human-machine interaction .

曲线预处理方法，包括：拉普拉斯算子、形态学操作及进行必要的人工交互。

For certain initial conditions , we need only calculate their high order Laplace operator , then we can obtain the accurate solution of the initial value problem .

本文提供了一种算法，对某些初始条件，只需计算其高阶拉普拉斯算子，就可以得到方程的显解。

Impulse hyperbolic partial differential equation oscillation higher order Laplace operator .

脉冲双曲型偏微分方程振动性高阶Laplace算子。

Oscillation of systems of impulsive delay hyperbolic equations with high order Laplace operator

具高阶Laplace算子的脉冲时滞双曲型方程组的振动性

An Integral Formula Involving Hamilton Operator and Laplace Operator

Hamilton算子和Laplace算子间的一个积分公式

The Laplace Operator and Its Properties in Finsler Space

Finsler空间中的Laplace算子及其性质

Laplace Operator and Its Application in Rotational Ellipsoid Coordinates

旋转椭球坐标系中的拉普拉斯算符及其应用

For the shortcomings of Laplace operator , LoG operator is obtained by Gauss filtering function .

本文针对Laplace算子的缺点，利用高斯滤波函数得到LoG算子。

Estimate of Dirac - Laplace Operator 's Eigenvalue Gap

Dirac-Laplace算子的特征值间距估计

The estimate of first eigenvalue of Laplace operator on Riemann manifolds with bounday

带边Riemann流形上Laplace算子的第一特征值之估计

Analysis and Identification of the Systems Described by the Integral Powers , the Fractional Powers and the Transcendental Functions of Laplace Operator s

拉氏算子s的整幂、分幂和超越函数描述的系统的分析与辨识

Laplace Operator and Its Representations

Laplace算子△及其表示方法

The classic methods of image edge detection includes difference operator , Roberts operator Sobel operator Prewitt operator Robinson operator and Laplace operator .

经典的图像边缘检测方法包括：差分边缘检测、Roberts算子、Sobel算子、Prewitt算子、Robinson算子和Laplace算子，并通过理论分析和仿真计算，比较了它们各自的优缺点及适用性。

The result indicates that the dimensional structure filter edge method can obtain a more intact and less noise image segmentation . Design of synchronization dimensional structure filter for Laplace operator

试验结果表明：引入空间滤波器的拉普拉斯算子可在保证高实时性的前提下获取低噪声的且更加完整的边缘检测结果。拉普拉斯差分算子同步降噪空间滤波器设计

The domain integral including inner source is translated into the complete boundary integral by the fundamental solution of high-order laplace operator . The two-dimensional problem becomes one-dimensional one .

对于内热源的区域积分，通过高阶拉普拉斯算子基本解，特区域积分变换成边界积分，使二维问题变成完全一维问题。

A system of linear equations founded on discrete Laplace operator is solved in the least squares sense and provide a theoretical proof for the reasonable deformation of mesh model .

利用离散的Laplace算子构建线性方程组并运用最小二乘法进行求解，为网格模型的渐变效果提供了理论依据。

In this article , the author defines an inner product of differential form in Finsler manifold , which helps him lead to δ - operator and Laplace operator .

该文对Finsler流形上的微分式定义了整体内积，进而引入δ算子和Laplace算子。

A technique to generate unstructured grids in arbitrary 2D region is presented depending upon the new idea to smooth the grid scale , which gives new explanation of filtered Laplace operator .

介绍一种可对任意二维区域进行非结构网格划分的方法，提出关于网格调整光滑的新思想，可对Laplace型滤波算子赋予新的意义。

Most classic edge detection algorithm , such as gradient operator , Laplace operator , LOG operator , only detect edge of restricted types and they are sensitive to noise , too .

经典的基于梯度算子的边缘检测方法，如梯度算子、拉普拉斯以及拉普拉斯-高斯算子等，只适用于检测有限类型的边缘，并且对噪声很敏感。

Now , various methods can be used to detect microcalcifications , among them typical Gauss - Laplace operator ( LOG ) is one of effective methods . Although LOG can accurately detect microcalcifications , it is inefficient .

现有多种方法能用于检测钙化点并各有优缺点，其中典型的高斯-拉普拉斯算子（LOG）是有效方法之一，尽管其能较精确地检出钙化点的位置但检测效率低。

So it can be concluded that by means of improving the Laplace operator , the effect of edge detection can be boosted , the continuity of edge can be well maintained and the edge can be detected precisely .

结论对Laplace算子的改进，提高了图像边缘检测的效果，较好的保持边缘的连通性，准确地检测图像的边缘。

In chapter three , we obtain invariance for Laplace operator on the configuration space over a Riemannian manifold in lifting of isometric mapping , we also generalization Heck operator of hyperbolic plane to the configuration space over a hyperbolic plane .

在第三章证明了构形空间的Lapace算子在等距映射提升下的不变性，并把二维双曲空间的Heck算子推广到构形空间。

The work is devoted to eigenvalue problems associated with a class of variable coefficients selfadjoint operators & Kohn Laplace operator on Heisenberg group . One obtains some priori estimate for discrete eigenvalues of the problem by group representation and Fourier transformation theory on n dimensional Heisenberg group .

研究了一类变系数自伴算子&Heisenberg群上的Kohn－Laplace算子多项式的特征值问题.利用Heisenberg群上的表示及其Fourier变换，获得了该特征值问题的特征值的一些先验估计。

We also reveal the relationship between the extension algorithms of LPP and NPE on image matrices : they also provide two different ways to linearly approximate the eigenfunctions of the Laplace Beltrami operator on manifold .

我们还揭示了NPE和LPP在图像矩阵上扩展算法的关系：其实也是对流形上Laplacebeltrami算子特征函数不同的线性逼近。

The sub-region subset algorithm is proposed . This algorithm selects LAPLACE edge detection operator seriously affected by noise to separate reconstruction images .

针对该问题提出分域子集算法，该算法选择受噪声影响比较大的LAPLACE边缘检测算子对重建后的图像进行区域划分。

Named for Pierre-Simon Laplace , the equation states that the sum of the second partial derivatives ( the Laplace operator , or Laplacian ) of an unknown function is zero .

以法国数理学家拉普拉斯命名的这个方程式表述如下：一个未知函数的二级偏微商之和（拉普拉斯算符）等于零。