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2 - Fast Methods for Computer-Generated Holography

Published online by Cambridge University Press:  07 January 2021

Peter Wai Ming Tsang
Affiliation:
City University of Hong Kong
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Summary

In this chapter, a number of quick methods for generating digital Fresnel holograms are introduced. For an object comprising a small number of depth planes, the layer-based method implemented in the Fourier space is preferred for fast hologram generation. The point-based method is more suitable for generating objects with a large number of object points that are scattered over a wide range of distances from the hologram plane. To enhance the speed of hologram generation with the point-based method, different variants and sizes of the look-up-table (LUT) algorithms to trade-off computation time are described. A number of methods based on the concept of a wavefront recording plane (WPR) are presented. Being different from the LUT approach, the WRP methods speed up the hologram-generation process. Instead of generating the full hologram for each object point, only a small area of fringe patterns is computed on a WRP that is at close proximity to the object space. The computation time is substantially reduced. Further enhancement of the computation speed is attained with the warped wavefront recording plane (WWRP) method. A 3-D object image is decomposed into a 2-D intensity image and a depth map. The intensity image is used to generate an interim hologram on a WRP. Different regions of the hologram fringes on the WRP are resized according to their distances (obtained from the depth map) from the hologram plane to generate a hologram from the WRP.

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2021

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References

Lucente, M., “Interactive computation of holograms using a look-up table,” J. Electron. Imaging, vol. 2, pp. 2834 (1993).CrossRefGoogle Scholar
Kim, S. and Kim, E., “Effective generation of digital holograms of three-dimensional objects using a novel look-up table method,” Appl. Opt., vol. 47, pp. D55D62 (2008).Google Scholar
Kim, S., Kim, J., and Kim, E., “Effective reduction of the novel look-up table memory size based on a relationship between the pixel pitch and reconstruction distance of a computer-generated hologram,” Appl. Opt., vol. 50, pp. 33753382 (2011).CrossRefGoogle ScholarPubMed
Yang, Z., Fan, Q., Zhang, Y., Liu, J., and Zhou, J., “A new method for producing computer generated holograms,” J. Opt., vol. 14, 095702 (2012).CrossRefGoogle Scholar
Bresenham, J., “A linear algorithm for incremental digital display of circular arcs,” Commun. ACM, vol. 20, pp. 100106 (1977).CrossRefGoogle Scholar
Nishitsuji, T., Shimobaba, T., Kakue, T., Masuda, N., and Ito, T., “Fast calculation of computer-generated hologram using the circular symmetry of zone plates,” Opt. Express, vol. 20, pp. 2749627502 (2012).Google Scholar
Andres, E., “Discrete circles, rings and spheres,” Comput. Graphics, vol. 18, pp. 695706 (1994).CrossRefGoogle Scholar
Pan, Y., Xu, X., Solanki, S., Liang, X., Tanjung, R., Tan, C., and Chong, T., “Fast CGH computation using S-LUT on GPU,” Opt. Express, vol. 17, pp. 1854318555 (2009).CrossRefGoogle ScholarPubMed
Jia, J., Wang, Y., Liu, J., Li, X., Pan, Y., Sun, Z., Zhang, B., Zhao, Q., and Jiang, W., “Reducing the memory usage for effective computer-generated hologram calculation using compressed look-up table in full-color holographic display,” Appl. Opt., vol. 52, pp. 14041412 (2013).Google Scholar
Gao, C., Liu, J., Li, X., Xue, G., Jia, J., and Wang, Y., “Accurate compressed look up table method for CGH in 3D holographic display,” Opt. Express, vol. 23, pp. 3319433204 (2015).CrossRefGoogle ScholarPubMed
Yamaguchi, T. and Yoshikawa, H., “Real time calculation for holographic video display,” Proc. SPIE, vol. 6136, p. 6136T (2006).Google Scholar
Shimobaba, T., Masuda, N., and Ito, T., “Simple and fast calculation algorithm for computer-generated hologram with wavefront recording plane,” Opt. Lett., vol. 34, pp. 31333135 (2009).CrossRefGoogle ScholarPubMed
Shimobaba, T., Nakayama, H., Masuda, N., and Ito, T., “Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane methods for three-dimensional display,” Opt. Express, vol. 18, pp. 1950419509 (2010).Google Scholar
Nishitsuji, T., Shimobaba, T., Kakue, T., Masuda, N., and Ito, T., “Fast calculation of computer-generated hologram using the circular symmetry of zone plates,” Opt. Express, vol. 20, pp. 2749627502 (2012).Google Scholar
Shimobaba, T. and Ito, T., “Fast generation of computer-generated holograms using wavelet shrinkage,” Opt. Express, vol. 25, pp. 7787 (2017).Google Scholar
Arai, D., Shimobaba, T., Nishitsuji, T., Kakue, T., Masuda, N., and Ito, T., “An accelerated hologram calculation using the wavefront recording plane method and wavelet transform,” Opt. Commun., vol. 393, pp. 107112 (2017).Google Scholar
Okada, N., Shimobaba, T., Ichihashi, Y., Oi, R., Yamamoto, K., Kakue, T., and Ito, T., “Fast calculation of a computer-generated hologram for RGB and depth images using a wavefront recording plane method,” Photon. Lett. Poland, vol. 6, pp. 9092 (2014).Google Scholar
Weng, J., Shimobaba, T., Okada, N., Nakayama, H., Oikawa, M., Masuda, N., and Ito, T., “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express, vol. 20, pp. 40184023 (2012).Google Scholar
Phan, A., Piao, M., Gil, S., and Kim, N., “Generation speed and reconstructed image quality enhancement of a long-depth object using double wavefront recording planes and a GPU,” Appl. Opt., vol. 53, pp. 48174824 (2014).CrossRefGoogle Scholar
Phan, A.-H., Alam, M.A., Jeon, S.-H., Lee, J.-H., and Kim, N. “Fast hologram generation of long-depth object using multiple wavefront recording planes,” Proc. SPIE 9006, Practical Holography XXVIII: Materials and Applications, 90061 (2014).CrossRefGoogle Scholar
Symeonidou, A., Blinder, D., Munteanu, A., and Schelkens, P., “Computer-generated holograms by multiple wavefront recording plane method with occlusion culling,” Opt. Express, vol. 23, pp. 2214922161 (2015).Google Scholar
Hasegawa, N., Shimobaba, T., Kakue, T., and Ito, T., “Acceleration of hologram generation by optimizing the arrangement of wavefront recording planes,” Appl. Opt., vol. 56, pp. A97A103 (2017).Google Scholar
Arai, D., Shimobaba, T., Murano, K., Endo, Y., Hirayama, R., Hiyama, D., Kakue, T., and Ito, T., “Acceleration of computer-generated holograms using tilted wavefront recording plane method,” Opt. Express, vol. 23, pp. 17401747 (2015).Google Scholar
Tsang, P.W.M., Cheung, W.K., Poon, T.-C., and Zhou, C., “Holographic video at 40 frames per second for 4-million object points,” Opt. Express, vol. 19, pp. 1520515211 (2011).Google Scholar
Tsang, P.W.M. and Poon, T.-C., “Fast generation of digital holograms based on warping of the wavefront recording plane,” Opt. Express, vol. 23, pp. 76677673 (2015).Google Scholar

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