Abstract

A computer-generated hologram (CGH) allows synthetizing view of 3D scene of real or virtual objects. Additionally, CGH with wide-angle view offers the possibility of having a 3D experience for large objects. An important feature to consider in the calculation of CGHs is occlusion between surfaces because it provides correct perception of encoded 3D scenes. Although there is a vast family of occlusion culling algorithms, none of these, at the best of our knowledge, consider occlusion when calculating CGHs with wide-angle view. For that reason, in this work we propose an occlusion culling algorithm for wide-angle CGHs that uses the Fourier-type phase added stereogram (PAS). It is shown that segmentation properties of the PAS can be used for setting efficient conditions for occlusion culling of hidden areas. The method is efficient because it enables processing of dense cloud of points. The investigated case has 24 million of point sources. Moreover, quality of the occluded wide-angle CGHs is tested by two propagation methods. The first propagation technique quantifies quality of point reproduction of calculated CGH, while the second method enables the quality assessment of the occlusion culling operation over an object of complex shape. Finally, the applicability of proposed occlusion PAS algorithm is tested by synthetizing wide-angle CGHs that are numerically and optically reconstructed.

Highlights

  • The aim of 3D display technology is to reproduce the depth perception of surrounding world

  • The first limitation is related with the pixel pitch of the spatial light modulators (SLMs) that are used for displaying Computer-generated hologram (CGH)

  • Unlike the spatial frequency index (SFI) strategy, our approach does not require tables for grouping the corresponding frequencies, and we provide the condition for selecting the sub-hologram tile size for carrying out proper occlusion culling

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Summary

Introduction

The aim of 3D display technology is to reproduce the depth perception of surrounding world. Propagation-based occlusion techniques are not optimal for CGHs with wide-angle, since they do not usually consider geometry where the object is much larger than the hologram [25]. This geometrical feature is challenging for rigorous propagation algorithms that must be used. Unlike the SFI strategy, our approach does not require tables for grouping the corresponding frequencies, and we provide the condition for selecting the sub-hologram tile size for carrying out proper occlusion culling This allows reducing the processing time of the CGH. The applicability of our occlusion culling method is carried out numerically and experimentally

Synthetizing CGH with the PAS
Occlusion Culling of Back Points with the PAS
Numerical Reconstruction Methods for Wide View-Angle CGHs
Off Axis Direct Integration Method
Multi Fast Fourier Transform Angular Spectrum Method
Comparison of Full and Small off Axis Window Reconstruction
Diffraction Efficiency Based on Assessment of CGH Quality
Findings
Conclusions
Full Text
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