Biometric authentication is a hot topic in the current information security field.Based on the analysis of the current biometric authentication methods and the problems of their applications on smart phones

we propose an identity authentication method based on a dynamic gesture matching algorithm named EI-DTW

which combines relaxation of the endpoints restriction and early termination of authentication based on dynamic time warping(DTW)algorithm.The experimental results show our algorithm EI-DTW enhances the authentication accuracy by canceling the endpoint alignment restriction on gesture matching

and improves the authentication efficiency by the early termination strategy and limiting the warp slope.