An affine moment invariant for multi-component shapes

We introduce an image based algorithmic tool for analyzing multi-component shapes here. Due to the generic concept of shapes, our method can be applied analysis a wide spectrum applications where real objects are analyzed on their - i.e. corresponded black and white images. The allocates number shape, herein called measure. This number/measure is invariant with respect affine transformations established theoretical frame developed in this paper. In addition, easy implement robust (e.g. noise). provide two small but illustrative examples related aerial galaxy analysis. Also, we some synthetic better understanding measure behavior.