Methods for restoring the conical shape of a dilated heart ventricle, or at least reshaping the ventricle to a more conical shape to counter the effects of dilation, thereby improving pumping efficiency. In an exemplary embodiment, a reshaping apparatus comprises an implantable body that can be delivered to a dilated left ventricle via the patients vasculature in a minimally-invasive procedure. When deployed inside the left ventricle, the body is adapted to apply a longitudinal (downward) force against the inner surface of the left ventricle that causes the ventricle to distend or elongate downwardly relative to the base of the heart so as to at least partially restore the conical shape of the heart. In other embodiments, one or more tension members can be secured to heart tissue inside a heart chamber or on the outside of the heart and placed in tension to reshape the geometry of the heart.
