A system for recovering cardiac motion includes an overall model, a geodesic-like prismoidal tessellation of the model and constant volume constraints. The overall model includes local deformations and a scaleable default model having a global component and parametric offsets. The offsets provide two features. First, they help to form an expected model shape which facilitates appropriate model data correspondences. Second, they scale with the global component to maintain the expected shape even in the presence of large global deformations. The system is applied to the recovery of 3-D cardiac motion from a volunteer dataset of tagged-MR images.