We compared two edge-blending methods for multi-projection displays, elliptic and rectangular blending, by simulating three common situations: (1) an inaccurately estimated calibration parameter, (2) a worn projector lamp, and (3) a shifted viewpoint. We used a two-level-of-detail display including a high-gain rear-projection screen in the simulation to demonstrate an extreme case. The comparisons showed how strongly inaccurate elements affect a composite besides affecting the appearance itself. A subjective assessment was also carried out to obtain the evaluations of actual users. The simulation results showed that in many cases elliptic blending is more effective than rectangular blending.