ABSTRACT
The associative memory feature of the Hopfield type recurrent neural network is used for the
pattern storage and pattern authentication. This paper outlines an optimization relaxation
approach for signature verification based on the Hopfield neural network (HNN) which is a
recurrent network. The standard sample signature of the customer is cross matched with the one
supplied on the Cheque. The difference percentage is obtained by calculating the different pixels
in both the images. The network topology is built so that each pixel in the difference image is a
neuron in the network. Each neuron is categorized by its states, which in turn signifies that if the
particular pixel is changed. The network converges to unwavering condition based on the energy
function which is derived in experiments. The Hopfield’s model allows each node to take on two
binary state values (changed/unchanged) for each pixel. The performance of the proposed
technique is evaluated by applying it in various binary and gray scale images. This paper
contributes in finding an automated scheme for verification of authentic signature on bank
Cheques. The derived energy function allows a trade-off between the influence of its
neighborhood and its own criterion. This device is able to recall as well as complete partially
specified inputs. The network is trained via a storage prescription that forces stable states to
correspond to (local) minima of a network “energy” function.
Keywords: Hopfield Neural Network, Pattern Matching, Signature Verification.