In the concern of speeding the acquisition time and to increase the spatial resolution of magnetic resonance (MR) images, several methods have already been proposed that acquire partial k-space data and use this known information about the imaged object to deal the problem. This work presents a new approach of reconstructing cardiac cine images by using k-space redundancies. The proposed method is based on the use of the analytic image concept. It is evaluated by experiments on real human heart images and compared with the Homodyne detection (HM) and the Projection onto convex set (POCS) reconstruction techniques.