Described are tilted compensators for compensating for in-plate and out-of-plane retardances of LC panels in their dark states, including a single tilted biaxial retarder or compound retarder comprising more than one biaxial film, which are effective to compensate both for nonideal polarization effects of LC panels and other optical components in optical projection systems. During a second time period, which follows the first time period, simultaneously applying the data to a liquid crystal capacitor included in the pixel and applying the additional data to a liquid crystal capacitor included in the additional pixel. Records are retrieved that are associated with the errors reported, where a record links an error to a defect in a component from the software product.