A measure of 2D shape-of-object dissimilarity

We describe an approach for measuring 2D shape-of-object dissimilarity. The shape of the different objects to be compared is mapped to a representation invariant under translation, rotation, and area. Thus, the shapes will have the same amount of information to describe them (equal number of pixels). The measure of dissimilarity is based on the transformation of one shape into another. This transformation is performed by moving pixels. Thus, the shape difference could be ascertained by counting how many pixels we have to move and how far to change one shape into another. When the shape transformation is performed, the distribution of the shape difference is computed, which permits an improvement in shape comparison.