Traditional 60 Hz autostereoscopic displays with static amplitude parallax barriers have a half of full-screen resolution in each of the two displayed views of a 3D scene. The known 120 Hz autostereoscopic displays with dynamic amplitude parallax barriers have full-screen resolution but are characterized by essential light intensity losses and crosstalk in each of displayed views. The recently proposed autostereoscopic displays with simultaneous reproducing two image elements in each display pixel and with a polarization parallax barrier have full-screen resolution. However, the existing optical layout of these displays does not provide optimum operating conditions for the polarization parallax barrier creating a tendency to degrade the contrast and color characteristics. This paper presents a new optical layout characterized by the rearrangement of optical components of the previous layout. In this approach, the highlighted problems are addressed without any trade-offs. Through informal subjective visual tests, this proposal is found to provide good contrast and good color balance in the output image.