1. A medical imaging apparatus comprising: a memory configured to store a patient adaptive object model in which a statistical object model related to transformation of an object caused by a periodic movement is applied to characteristics of the object of a target patient; and a processor configured to acquire a first image of the target patient, control a display to display the first image, calculate differences between a boundary of a shape of the object extracted from the patient adaptive object model and a boundary of a shape of the object displayed on the first image, and transform a second image of the target patient based on the calculated differences, wherein the processor is configured to transform the patient adaptive object model by applying a boundary condition, to correct the differences, to a physical model to which properties of the object of the target patient are applied.