A topological space is generally described as a set of arbitrary elements (points) in which a concept of continuity is specified. Topological transformations preserve the neighborhood relations between mapped points and include translation, rotation, and rubber sheeting. A complete set of topological invariants allows us to recognize homeomorphism classes, which pertains to scenes of objects belonging to the same homeomorphism class. Given two scenes of geometric objects embedded in 2 , we can assess if they are topologically equivalent either by finding a topological transformation mapping one scene into the other or by checking whether all topological invariants are the same.