Fast polygon-based method for calculating computer-generated holograms in three-dimensional display

Applied Optics

Volumn 52, Issue 1, 2013, Pages

  Pan, Yijie ^a   Wang, Yongtian ^a   Liu, Juan ^a   Li, Xin ^a   Jia, Jia ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GENERATED HOLOGRAPHY; FAST FOURIER TRANSFORMS; FOURIER ANALYSIS; GEOMETRY; HOLOGRAPHIC DISPLAYS; INVERSE PROBLEMS; NUMERICAL METHODS; POWER SPECTRAL DENSITY; SPECTRAL DENSITY;

AFFINE TRANSFORMATIONS; COMPUTER GENERATED HOLOGRAMS; NUMERICAL SYNTHESIS; POLYGONAL SURFACE; PSEUDO INVERSE MATRIX; RECONSTRUCTION QUALITY; THREE DIMENSIONAL (3D) DISPLAY; THREE-DIMENSIONAL DISPLAY;

HOLOGRAMS;

EID: 84871966933     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.52.00A290     Document Type: Conference Paper

References (28)

1. C. Slinger, C. Cameron, and M. Stanley, "Computer-generated holography as a generic display technology," Computer 38, 46-53 (2005).
2. M. Lucente, "Interactive computation of holograms using a look-up table," J. Electron. Imaging 2, 28-34 (1993).
3. S.-C. Kim and E.-S. Kim, "Effective generation of digital holograms of three-dimensional objects using a novel look-up table method," Appl. Opt. 47, D55-D62 (2008).
4. Y. Pan, X. Xu, S. Solanki, X. Liang, R. Tanjung, C. Tan, and T.-C. Chong, "Fast CGH computation using S-LUT on GPU," Opt. Express 17, 18543-18555 (2009).
5. S. Ganci, "Fourier diffraction through a tilted slit," Eur. J. Phys. 2, 158-160 (1981).
6. H. J. Rabal, N. Bolognini, and E. E. Sicre, "Diffraction by a tilted aperture," Opt. Acta 32, 1309-1311 (1985).
7. D. Leseberg and C. Frére, "Computer-generated holograms of 3-D objects composed of tilted planar segments," Appl. Opt. 27, 3020-3024 (1988).
8. C. Frére and D. Leseberg, "Large objects reconstructed from computer-generated holograms," Appl. Opt. 28, 2422-2425 (1989).
9. T. Tommasi and B. Bianco, "Frequency analysis of light diffraction between rotated planes," Opt. Lett. 17, 556-558 (1992).
10. T. Tommasi and B. Bianco, "Computer-generated holograms of tilted planes by a spatial frequency approach," J. Opt. Soc. Am. A 10, 299-305 (1993).
11. K. Matsushima, H. Schimmel, and F. Wyrowski, "Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves," J. Opt. Soc. Am. A 20, 1755-1762 (2003).
12. K. Matsushima, "Computer-generated holograms for threedimensional surface objects with shade and texture," Appl. Opt. 44, 4607-4614 (2005).
13. K. Matsushima, "Formulation of the rotational transformation of wave fields and their application to digital holography," Appl. Opt. 47, D110-D116 (2008).
14. K. Matsushima and S. Nakahara, "Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method," Appl. Opt. 48, H54-H63 (2009).
15. H. Nishi, K. Matsushima, and S. Nakahara, "Rendering of specular surfaces in polygon-based computer-generated holograms," Appl. Opt. 50, H245-H252 (2011).
16. K. Matsushima, H. Nishi, and S. Nakahara, "Simple wavefield rendering for photorealistic reconstruction in polygonbased high-definition computer holography," J. Electron. Imaging 21, 023002-23003 (2012).
17. L. Onural, "Exact solution for scalar diffraction between tilted and translated planes using impulse functions over a surface," J. Opt. Soc. Am. A 28, 290-295 (2011).
18. L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, "Computer generated holograms from three dimensional meshes using an analytic light transport model," Appl. Opt. 47, 1567-1574 (2008).
19. H. Kim, J. Hahn, and B. Lee, "Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography," Appl. Opt. 47, D117-D127 (2008).
20. H. Sakata and Y. Sakamoto, "Fast computation method for a Fresnel hologram using three-dimensional affine transformations in real space," Appl. Opt. 48, H212-H221 (2009).
21. R. N. Bracewell, K. Y. Chang, A. K. Jha, and Y.-H. Wang, "Affine theorem for two-dimensional Fourier transform," Electron. Lett. 29, 304-306 (1993).
22. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
23. R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, 2nd ed. (Cambridge University, 2003).
24. A. Ben-Israel and T. N. E. Greville, Generalized Inverses: Theory and Applications, 2nd ed. (Springer-Verlag, 2003).
25. T. Greville, "Some applications of the pseudoinverse of a matrix," SIAM Rev. 2, 15-22 (1960).
26. W. M. Newman and R. F. Sproull, Principles of Interactive Computer Graphics, 2nd ed. (McGraw-Hill, 1979).
27. H. Zhang, J. Xie, J. Liu, and Y. Wang, "Elimination of a zeroorder beam induced by a pixelated spatial light modulator for holographic projection," Appl. Opt. 48, 5834-5841 (2009).
28. K. Matsushima, "Exact hidden-surface removal in digitally synthetic full-parallax holograms," Proc. SPIE 5742, 25-32 (2005).