Left ventricular angiography provides both anatomical and functional information required for the evaluation of the cardiac diseases. Currently, the development of several digital image processing techniques with applications to digital angiography has become an interesting issue. One of these techniques corresponds to the 3D reconstruction from two angiographic views. The problem addressed paper concerns the proposition of different approaches based on GA to solve the left ventricle 3D reconstruction problem from two angiographics views to test them. This is an interesting multiobjective problem. In these problems an optimum solution must then be found, which still satisfies multiple objectives. We use notions about population manipulation and Pareto theory to develop our multiobjective optimization approaches.