A system and method for analysis of 3D deformations and regional function of a heart includes: a magnetic resonance imaging (MRI) scanner configured to acquire three tagged volume data series with mutually perpendicular tag lines of a heart; a data storage device in communication with the MRI scanner and configured to store the three tagged volume data series; and an image processing machine in communication with data storage device. The image processing machine is configured to: model an intensity distribution around each voxel of each tagged volume data series as a moving sine wave front with a local frequency and an amplitude; and determine a phase and frequency for each voxel from the local frequency and amplitude and a displacement from a quotient of a phase difference and the local frequency.