We show the feasibility of embedding physiological coordinates and directions into a left ventricle anatomical shape model using Proper Orthogonal Decomposition. The volumetric anatomical mesh and the physiological parametrization can be personalized directly from the selection of control points on MR cardiac images. This approach provides a consistent way of augmenting low-resolution data using features from high-resolution datasets. Additionally, the physiological parametrization is automatically adapted to each specific case without any additional calculation steps. This simplifies the processing of clinical images and, particularly, strain calculations and microstructural analysis that require the definition of the physiological parametrization.