介绍了一种用于图象区域和边缘检测的积分变换。该变换引入了灰度尺度和空间尺度，从而将图象变为表示象素点相互吸引的向量场，将边缘检测问题转化为在向量场中寻找相分离向量的问题。通过分析该变换用于边缘检测而产生的一些问题，给出了使用图象局部信息估计灰度尺度的方法。在对已有方法简化和改进的基础上，提出了一个基于此变换的边缘检测算法。最后给出该方法的识别结果，并与经典的边缘检测算法做了比较。试验结果表明，其边缘检测效果与Canny算法相似，是一种有效的边缘检测方法。

This paper discusses an integral transform that can be applied to region and edge detection. With homogeneity scale and spatial scale parameters, the transform converts image into vector field showing the attractions among pixels in the image, and thus edge detection can be performed by finding divergent vectors in the field. This paper analyses some problem of applying the transform to edge detection and presents a method of estimating homogeneity scale parameter using local information. Based on the transform and previous work, a simplified version of edge detection algorithm is given. Its experimental results are also presented, with comparison to some classical edge detection algorithm. Its edge detection capability is comparable with Canny edge detection algorithm.