In this contribution, we present two GPU-optimized algorithms for displaying the frames of 2D-plus-Z stream on a multiview 3D display. We aim at mitigating the cross-talk artifacts, which are inherent for such displays. In our approach, a 3D mesh is generated using the given depth map, then textured by the given 2D scene and properly interdigitized on the screen. We make use of the GPU built-in libraries to perform these operations in a fast manner. To reduce the global crosstalk presence, we investigate two approaches. In the first approach, the 2D image is appropriately smoothed before texturing. The smoothing is done in horizontal direction by a 1-D filter bank driven by the given depth map. Such smoothing provides the needed anti-aliasing at the same filtering step. In the second approach, we introduce a higher number of properly blended virtual views than the display views supported and demonstrate that this is equivalent to a smoothing operation. We provide experimental results and discuss the performance and computational complexity of the two approaches. While the first approach is more appropriate for higher-resolution displays equipped with newer graphical accelerators, the latter approach is more general and suitable for lower-resolution displays and wider range of graphic accelerators.