While much progress has been made in the development of methods for multiparameter & multidimensional cardiovascular (CV) MRI, there are many technical challenges remaining to be overcome in clinical applications of them, particularly the difficulties associated with handling the large associated data sets, from data acquisition and image reconstruction, to visualization and analysis. However, if these challenges can be overcome, these new imaging methods can potentially both improve the efficiency of CV MRI, and provide powerful new means for assessing the effect of disease on the cardiovascular system, through integrated and spatially registered displays of structure, function, and tissue properties.