We exploit the correlations between 3D-stereoscopic left-right image pairs to achieve high compression factors for image frame storage and image stream transmission. In particular, in image stream transmission, we can find extremely high correlations between left-right frames offset in time such that perspective-induced disparity between viewpoints and motioninduced parallax from a single viewpoint are nearly identical; we coin the term "WorldLine correlation" for this condition. We test these ideas in two implementations, (1) straightforward computing of blockwise cross-correlations, and (2) multiresolution hierarchical matching using a wavelet-based compression method. We find that good 3D-stereoscopic imagery can be had for only a few percent more storage space or transmission bandwidth than is required for the corresponding flat imagery.