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1·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。

2·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。

3·The introduction of the synchronization dimensional structure filter makes the Laplace operator improve the segmentation quality with a high real time capability by the original arithmetic.

同步空间滤波器的引入，可使原算法在低颜色阈值条件下获得高质量的图像分割结果，且该滤波器的行扫描数据录入方式可以保证高实时性。

4·In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

为了在继承拉普拉斯算子高实时性的前提下提高图像分割质量，设计了一个可与拉普拉斯算子差分计算同步进行滤波工作的空间滤波器。

5·First, do median filter to image in order to wipe off noise, then make use of Gauss-Laplace operator to pick up edge. The result showed the kind of edge detecting method has good performance.

首先对图像进行中值滤波去除噪声，然后用高斯—拉普拉斯算子提取边缘，这种边缘检测方法的效果很好。