Abstract
Based on our proposed method for holographic stereogram printing using effective perspective images’ segmentation and mosaicking (EPISM), we analyze the reconstructed wavefront errors, and establish the exit pupil function model of proposed printing system. To evaluate the imaging quality, the optical transfer function (OTF) of the holographic stereogram is modelled from the aspect of frequency response. The characteristic of the OTF with respect to the exit pupil size and the aberration are investigated in detail. We also consider the flipping effect in spatial domain. The optimization of hogel sizes, i.e., the sampling interval of original perspective images and the printing interval of synthetic effective perspective images, are given for the optimized reconstruction. Numerical simulations and optical experiments are implemented, and the results demonstrate the validity of our analysis, and the optimized parameters of hogel sizes can improve the imaging quality of full parallax holographic stereogram effectively.
Highlights
Synthetic holographic stereogram was first proposed by DeBitetto[15] and developed rapidly[16,17,18,19,20,21,22,23,24,25,26,27,28]
There is the assumption of a small-aperture camera and a “point” hogel, and each image of the spatial light modulator (SLM) plane is acquired by the pixel swapping technique from different images of film planes according to the ray-tracing principle
The infinite viewpoint camera method, the single-step Lippmann holographic stereogram method and the direct-write digital holography (DWDH) method can all be classified as the method of single pixel mapping, whereas the effective perspective images’ segmentation and mosaicking (EPISM) belongs to the method of image block operation
Summary
Synthetic holographic stereogram was first proposed by DeBitetto[15] and developed rapidly[16,17,18,19,20,21,22,23,24,25,26,27,28]. Each image of the virtual hogel in virtual master hologram contributes different numbers of pixels to the image of the hogel in transfer hologram, and the calculation burden in EPISM method is much less than that of the DWDH method, especially for a full parallax holographic stereogram. Since it is the pixel mosaicking technique, the hogel sizes in virtual master hologram and transfer hologram can be arbitrary, without any limitations. The reconstructed wavefront errors in holographic stereogram were expressed as defocusing aberrations, and the frequency responses of full parallax holographic stereogram were studied when the rectangle, the shaped Gaussian, and the shaped Blackman window functions were used as the exit pupil functions respectively, the design criterion of the exit pupil function was discussed[43]
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