In this paper we address the problem of producing an enlarged picture from a given digital image. We propose a zooming technique based on ENO and WENO schemes that are high order accurate finite difference schemes designed for problems with piecewise smooth solutions containing discontinuities. ENO and WENO schemes have been quite successful in applications, especially for problems containing both shocks and complicated smooth solution structures, such as compressible turbulence simulations and aeroacoustics. The algorithm works both on monochromatic images and RGB color pictures. Our experiments show that the proposed method is better than classical simple zooming techniques (e.g. pixel replication, bilinear interpolation). Moreover our algorithm is competitive both for quality and efficiency with bicubic interpolation.