This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.

Similarity retrieval of images is an important task in database applications. In such applications, effective organization and retrieval of images can be achieved through indexing. In this paper, the problem of quick retrieval of offline signatures in the context of database of signature images is addressed. The proposed methodology retrieves signatures in the database of signature images for a...

Combinatorialpattern recognition is used for discrimination of handwritten signatures. The method partitions an input image into overlapping pieces. A piece is as large as possible under the constraints rst that it must have an identical copy at a smaller row number, second that the piece must have a xed width. The partitioning into pieces is performed according to a generalisation of the Lempe...

The last three decades of research brought many improvements in the field of signature verification. On-line signature verification already has several commercial applications. However, the off-line verification problem is much harder to tackle. One of the tasks is the identification and matching of coherent shapes in different images, which can be a key factor in imporving existing systems. Th...

In this paper, we suggest a Q2 multiple-collision trapdoor hash family under both integer factoring and discrete logarithm problems, and we present their security proofs. In multiple-collision trapdoor hash family, exposing multiple collisions of similar hash functions will not disclose the private key of trapdoor hash value. In the proposed multiple-collision trapdoor hash family, a pair of se...