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.