Analysis of mechanical properties of the myocardium is clinically important, since it enables the assessment of contraction/relaxation of ventricles as well as localization and extension of the ischemic damage. Myocardial ischemia generally modifies the cardiac muscle contraction process. Analysis of motion and deformations of the left ventricle (LV) using 3–D imaging modalities involves obtaining a set of parameters that describe in an accurate way the motion of the wall. This analysis enables the understanding of cardiac mechanics and cardiovascular disease subsequent processes. The main difficulty about the estimation of changes in shape and motion of LV, is that most of the regions of the myocardium are subjected to complex non-rigid deformations during the whole cardiac cycle. Our research in this subject is related to the development of methodology for estimating the deformation field of the left ventricle walls from 4-D Multi Slice Computerized Tomography databases.