Hardware architectures and image interpretation can be simplified by partial polarimetry. Mueller matrix (MM) polarimetry allows the investigation of partial polarimeter designs for a given scientific task. In this work, we use MM measurements to solve for a fixed polarization illumination and analyzer state that maximize polariscopic image contrast of the human eye. The eye MM image acquisition takes place over 15 seconds which motivates the development of a partial polarimeter that has snapshot operation. Within the eye, the birefringent cornea produces spatially-varying patterns of retardance exceeding half of a wave with a fast-axis varying from linear, to circular, and elliptical states in between. Our closed-form polariscopic pairs are a general solution that maximizes contrast between two non-depolarizing pure retarder MMs. For these MMs, there is a family of polariscopic pairs that maximize contrast. This range of solutions creates an opportunity to use the distance from optimal as a criteria to adjust polarimetric hardware architecture. We demonstrate our optimization approach by performing both Mueller and polariscopic imaging of an in vivo human eye at 947 nm using a dual-rotating-retarder polarimeter. Polariscopic images are simulated from Mueller measurements of 19 other human subjects to test the robustness of this optimal solution.