一种基于数学形态学的灰度图像边缘检测算法

An algorithm for edge detection of gray-scale image based on mathematical morphology

基于数学形态学的方法,利用形态运算膨胀、腐蚀、开、闭等变换以及它们的组合,该文提出了一种改进的形态学边缘检测算子,能够有效地检测出图像边缘,并保持边缘的平滑性.同时引入多尺度的概念,对形态结构元素尺度的大小进行调整,从而在噪声存在的条件下得到较理想的图像边缘.实验结果表明,与传统的边缘检测算子相比较,该算法抗噪性能良好,计算量较小,因此具有一定的实用性和可行性.

On the basis of mathematical morphology, an improved edge detection operator is proposed that uses morphological operations such as dilation, erosion, opening, closing and their combination. The method can detect the edge efficiently and keep the detected edge smooth. Also introduced was the concept of multi-scale. In order to obtain an ideal image edge under the circumstances of existing noise, the size of structuring elements was adjusted. Experiments demonstrate that compared with traditional edge detectors, this edge detector has a good performance of noise reduction and requires fewer calculations, enhancing its practicality.