基于Canny算子的图像边缘检测及优化  

Image Edge Detection and Optimization Based on Canny Operator

作　　者：朱晨宇 吉彦锦 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2024年第5期130-139,共10页Pure Mathematics

摘　　要：图像边缘检测是图像处理和计算机视觉中的基本问题。本文针对图像边缘检测,首先利用二维高斯滤波器对原图像进行滤波降噪,对原始数据与高斯平滑模板作卷积,然后使用一阶差分算子计算水平方向和垂直方向的梯度幅值分量,得到图像的梯度的幅值和梯度的方向,最后进行非极大值抑制与双阈值检测和边缘连接,建立了基于Canny算子的图像边缘检测模型。针对传统Canny算法的缺陷,本文提出了一种改进的Canny边缘检测算法,建立了基于自适应平滑滤波的边缘检测模型。在平滑图像的同时锐化边缘,使用水平、垂直、45˚和135˚四个方向梯度模板计算图像梯度,改善了传统Canny算法在计算梯度时对噪声的敏感性。实验结果表明,改进的模型在检测到更多边缘细节的同时,也具备较强的自适应性。特别地,在噪声环境中,改进的模型检测效果更优。Image edge detection is a basic problem in image processing and computer vision. In this paper, for image edge detection, the original image is filtered and denoised by two-dimensional Gaussian filter, and the original data is convolved with Gaussian smoothing template. Then the first difference operator is used to calculate the horizontal and vertical gradient amplitude components, and the amplitude and direction of the gradient of the image are obtained. Finally, non-maximum suppression, double threshold detection and edge connection are performed,an image edge detection model based on Canny operator is established. Aiming at the defects of traditional Canny algorithm, an improved Canny edge detection algorithm is proposed in this paper, and an edge detection model based on adaptive smoothing filter is established. The edge is sharped while the image is smoothed, and the image gradient is calculated using horizontal, vertical, 45˚ and 135˚ gradient templates, which improves the sensitivity of traditional Canny algorithm to noise when calculating gradient. The results show that the improved model not only detects more edge details, but also has strong adaptability. In particular, the improved model detection results are better in the noisy environment.

关 键 词：边缘检测 CANNY算子 高斯滤波器 自适应平滑滤波 噪声 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]