This disclosure relates generally to systems and methods for characterizing a behavior of an anatomical structure. Tracking data can be generated by a tracking system to represent at least a location of at least one sensor in a three-dimensional tracking coordinate system over time. A motion model is generated to characterize the behavior of the anatomical structure over a plurality of time instances. For instance, the motion model includes at least one free parameter and a temporal parameter. Each free parameter estimating geometry of the anatomical structure derived from the tracking data, and the temporal parameter indexes the free parameter over the plurality of time instances. A visualization is generated to provide a sequence of graphical images based on the motion model to characterize behavior of the anatomical structure over time.