摘要在实际的图像处理应用中，图像的边缘是图像的一种基本特征，经常在比较高层次的图像中应用。它是图像识别、图像分割、图像增强和图像压缩等的基础，并且在这些领域都有较为广泛的应用。39783
本文首先介绍常用的边缘检测算法。常用的边缘检测算法可分为一阶和二阶。一阶微分的边缘检测算法又包括Robert算子、Prewitt算子和Kirsch算子，二阶微分的边缘检测算法包括Laplacian算子、LOG算子和Canny算子。本文一一介绍了个算子的算法原理。然后针对Sobel算子进行改进。
最后，在MATLAB环境下针对各个算子进行编程仿真实验。通过实验结果直观的展现各个算子的边缘检测效果。再利用Sobel算子分析边缘检测算子在有噪声和没有噪声的情况下的边缘提取情况，并对Sobel算子进行改进，使之在有噪声的情况向也能很好的提取出边缘。
毕业论文关键词：图像微分边缘处理 MATLAB 一阶微分算子 二阶微分算子 最佳Sobel算子
Abstract
In actual image processing applications, the edge of the image is a basic feature of the image, often used in high-level image. It is the basis of image recognition, image segmentation, image enhancement and image compression, and in these areas have a more widely used.
This paper studies the number of edge detection algorithm. In this paper, the edge detection algorithm is pided into three categories: first-order differential edge detection algorithm, the second order differential edge detection algorithm and best Sobel edge detection algorithm. First-order differential edge detection algorithm also includes Robert operator, Prewitt operator and Kirsch operator, second order differential edge detection algorithm comprises Laplacian operator, LOG operator and Canny operator. This article introduced one by one operator algorithm works.
Finally intuitive to show each operator edge detection by experimental results. Reuse analysis Sobel operator edge detection operator at the edge noise and no noise in the case of extraction conditions, and improved Sobel operator, so that in the presence of noise can be very good to extract the edges.
Keywords: edge detection image processing Matlab First-order differential operator Second-order differential operator Sobel detection algorithm
目录
摘 要 I
Abstract II
1 绪 论 1
1.1图像边缘处理的意义 1
1.2数字图像处理微分的边缘检测算法的研究背景 2
1.3图像边缘检测算法的国内外研究现状 3
1.4图像边缘检测算法的研究趋势 3
2 图像微分边缘检测算法 5
2.1 图像边缘检测的定义 5
2.2 边缘检测法 5
3 图像微分边缘检测算子 7
3.1 基于一阶微分的边缘检测算子 7
3.1.1 Roberts算子 7
3.1.2 Prewitt 算子 8
3.1.3 Kirsch算子 9
3.2 基于二阶微分边缘检测算法 9
3.2.1 Laplacian算子 10
3.2.2 LOG算子 12
3.2.3 Canny算子 13
4 最佳Sobel边缘检测算法 15
4.1 Sobel图像边缘检测算法 15
4.2 改进的Sobel边缘检测算法 16
4.3 Sobel算子的最佳阈值选取 16
5 实验结果与分析 19
5.1 一阶微分算法的实验结果与分析 19
5.2二阶微分算法的实验结果与分析 20 MATLAB环境下的图像微分边缘检测算法设计+程序:http://www.youerw.com/zidonghua/lunwen_40457.html