Systems and methods for enhancing symmetry in 2D and 3D objects are disclosed. At least some embodiments include a computer-readable storage medium including software (executable on a processor) to symmetrize a modeled physical object that causes the processor to identify a plurality of clusters (each including a plurality of symmetric point pairs each derived from a plurality of sampled surface points of the object), and to calculate and apply each of a first plurality of displacement value pairs to corresponding sample positions of the symmetric point pairs within at least one cluster, increasing the symmetry of the cluster. The software further causes the processor to calculate a second plurality of displacement value pairs, to contract the cluster using the second plurality of displacement value pairs, to merge two or more clusters within the transformation space, and to present a graphical representation of the symmetrized modeled physical object to a user.