Counting the number of blobs in an image

A new way to determine the number of blobs in an image is presented. The technique can be applied to the case of convex or non-convex elongated or not elongated blobs with a smooth contour without holes, different length, but similar thickness and in the presence of occlusions. The number of blobs in an image can be obtained as a function of three quantities: the number of conglomerates, the number of singular concavity points, and the number of holes in the image. The technique has been tested with several hundreds of syntactically generated gray level images containing elongated convex objects. The preliminary results are very promising. Errors were mainly due to the appearance of some pathological cases and to fact that some concavity points are not correctly detected.