In the previous report, exaggeration of size constancy was revealed with high diopter lenses after cataract surgery. The current report is concerning effects of various experimental parameters on, and long-term changes of size constancy after the surgery. The results can be summarized as follows: (1) The level of "hyper" constancy had fallen modestly but significantly. That is, there was slow adaptation of perception to the new scene through the glasses. (2) The constancy level rose when the distance cues were enriched, and fell when they were impoverished. (3) All the results obtained under various conditions unanimously revealed "hyper", or more-than-perfect constancy. This "hyper" constancy may be a consequence of depth compression caused by magnification of visual images.