拉普拉斯算子

基于拉普拉斯算子的Snakes方法分析

Snakes Methods Analysis Based on Laplacian Operator

计算机仿真结果表明，当观察的低分辨率图像的噪声方差较大时，本文提出的算法重建的效果相对于基于拉普拉斯算子或者是双边滤波器算子的MAP算法都有较大的改善。

Simulation results show that when low resolution images of the noise variance is larger , the algorithm proposed in this paper has a results than algorithms that based on the Laplacian or bilateral filter operator .

一类含P拉普拉斯算子的非线性椭圆边值问题解的存在性

The Existence of a Solution of Nonlinear Elliptic Boundary Value Problems Involving the P-Laplacian Operator

打开一幅图像，利用Roberts梯度法、Sobel算子和拉普拉斯算子进行锐化，并比较结果。

Open the image using the Roberts gradient , Sobel operator and Laplacian sharpening , and compare the results .

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。

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 .

从色彩理论和高斯-拉普拉斯算子的基本原理出发，提出了一种基于RGB彩色空间的影像阴影检测方法。

Start from the basic color theory and the principle of Gauss-Laplace operator , a shadow detection method of color image based on RGB color space is presented in this paper .

在此验证系统的上，实现了统计排序滤波、中值滤波、形态学滤波、高斯滤波、拉普拉斯算子和Sobel算子等典型的图像预处理算法。

Several typical image preprocessing algorithms , such as statistic order filter , median filter , Morphological filter , Gaussian filter , Laplacian and Sobel operator etc , are implemented on the system .

变分能量泛函中的数据项可以是基于不同的光照条件和运动类型假设条件，比如基于亮度、梯度、Hessian矩阵、梯度模、拉普拉斯算子以及Hessian矩阵的行列式为常值假设。

Data terms of variational models can base on the assumption of different light conditions and different motion types , such as base on constancy assumptions of the gradient , the Hessian , the gradient magnitude , the Laplacian and the Hessian determinant .

在渐变过程中，采用拉普拉斯算子求解中间点模型以保持模型的细节，利用MLS进行动态自适应的重采样以消除中间模型的裂缝。

In order to preserve the geometric details of point set surfaces , the absolute geometry of the in-between model is computed by means of Laplacian operator and its surfaces are dynamically up-sampled using a moving least squares method so as to eliminate the cracks .

这些结果被章梅荣[4]推广到一维p-拉普拉斯算子。

Zhang [ 4 ] extended these results to one-dimensional p-Laplacian .

一种改善高斯拉普拉斯算子零交叉方法的车辆边缘检测

An Improved Gauss - Laplace Zero-crossing Traffic Edge Detection Approach

其次运用拉普拉斯算子在空间域内对图像进行锐化以增强微钙化点；

Secondly microcalcifications were enhanced by utilizing Laplacian operator in spatial domain .

基于高斯-拉普拉斯算子的图像边缘检测方法

Esquipulas II Procedure The Image Edge Detection with Laplacian of Gaussian Operator

算法首先通过拉普拉斯算子对图像细节进行锐化。

First , Laplacian operators are used to sharp the image details .

完备黎曼流形上拉普拉斯算子的比较定理

A Laplacian comparison result on complete Riemann manifold

平均曲率流下拉普拉斯算子的特征值

Eigenvalues of Laplacian Operator Under Mean Curvature Flow

黎曼流形上的拉普拉斯算子的特征值和特征函数

Eigenvalues and Eigenfunctions of Laplacian on Riemannian Manifold

关于拉普拉斯算子的第一、第二特征值的空隙的估计

On the estimate of the gap of the first two eigenvalues of the Laplacian

边界检测中的曲面拟合-拉普拉斯算子法

Surface Fitting-The Laplacian Method in Edge Detection

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。

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

它有两个特点：（1）采用拉普拉斯算子增强输入图像边缘；

It has two characteristics : new filters enhance input image edges by using Laplacian operation ;

罗伯特算子、高斯拉普拉斯算子、索贝尔算子、蒲瑞维特算子被用来检测边缘。

Roberts operator , Log operator , Sobel operator , Prewitt operator are used to detect edges .

通过实验数据对比，得出以拉普拉斯算子作为小区域图像的清晰度评价函数。

By comparing the experimental data obtained image clarity evaluation function by Laplacian in a small regional .

边缘提取利用了拉普拉斯算子；

Edge extracting use Laplace ;

梯度和拉普拉斯算子

Gradient and Laplacian operator

目的：介绍一种基于小波变换和拉普拉斯算子的血液细胞图像边缘识别方法。

Objective : This paper introduces an edge detection method of blood cell image , which is based on and .

这个方法将高斯-拉普拉斯算子同与人类视觉系统中对比敏感度函数相似的空间滤波结合起来，对视觉条件敏感，并且由于高斯函数的平滑效果，这种方法不会增加噪声。

This method combines the Laplacian of Gaussian operator with spatial filters that approximate the contrast sensitivity functions of human visual systems .

并针对可能出现的边缘模糊化效应，采用拉普拉斯算子对图像做增强处理。

And for the possible effect of blurring the edges , the Laplacian Operator is adopted to enhance image contrast . 3 .

融入平均曲率光顺思想，对拉普拉斯算子进行改进，通过在法矢方向和切平面上同时对网格顶点进行移动调整，较好地达到模型外形光顺、三角片形状比较均匀的要求。

With the algorithm , fairing and uniform meshes are obtained by moving each vertex in normal direction and tangent plane simultaneously .

在本文条件下，我们论证正则化算子取拉普拉斯算子比取恒等算子恢复性能好，并且预测噪声能量。

And we demonstrate that Lapalacian operator is better than identity operator in the condition of this paper , predict the noise energy .